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  • 1.
    Andersson, Lars-Erik
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
    Klarbring, Anders
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    A review of the theory of static and quasi-static frictional contact problems in elasticity2001In: Philosophical Transactions. Series A: Mathematical, physical, and engineering science, ISSN 1364-503X, E-ISSN 1471-2962, Vol. 359, p. 2519-2539Article in journal (Refereed)
  • 2.
    Andersson, Lars-Erik
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
    Klarbring, Anders
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    A Survey of Basic Mathematical Results for Frictional Contact Problems2001In: From Convexity to Nonconvexity / [ed] Robert P Gilbert; P D Panagiotopoulos; P M Pardalos, Dordrecht/Boston/London: Kluwer , 2001, p. -392Chapter in book (Other academic)
    Abstract [en]

    Contains a collection of invited papers dedicated to the memory of two great mathematicians, Gaetano Fichera and Panagis Panagiotopoulos. The book is centered around the seminal research of G Fichera on the Signorini problem, hemivariational inequalities, nonsmooth global optimization, and regularity results for variational inequatities.

  • 3.
    Andersson, Lars-Erik
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
    Klarbring, Anders
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Existence and uniqueness for quasistatic contact problems with friction2001In: CMIS 2001, third Contact Mechanics International Symposiium,2001, Dordrecht: Kluwer , 2001, p. 245-Conference paper (Refereed)
  • 4.
    Andersson, Lars-Erik
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
    Klarbring, Anders
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Existence and Uniquness of Steady State Solutions in Thermoelastic Contact with Frictional Heating2004In: International Congress of Theoretical and Applied Mechanics,2004, 2004, p. 215-215Conference paper (Refereed)
  • 5.
    Andersson, Lars-Erik
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
    Klarbring, Anders
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Quasi-static Frictional Contact of Discrete Mechanical Structures2000In: European journal of mechanics. A, Solids, ISSN 0997-7538, E-ISSN 1873-7285, Vol. 19, p. S61-S67Article in journal (Refereed)
  • 6.
    Andersson, Lars-Erik
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
    Klarbring, Anders
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Barber, J.R.
    Department of Mechanical Engineering University of Michigan.
    Ciavarella, M.
    CEMEC-PoliBA.
    On the existence and uniqueness of steady state solutions in thermoelastic contact with frictional heating2005In: Proceedings of the Royal Society of Edinburgh. Section A Mathematics, ISSN 0308-2105, E-ISSN 1473-7124, Vol. 461, no 2057, p. 1261-1282Article in journal (Refereed)
    Abstract [en]

    It is well known that contact and friction in thermoelasticity result in mathematical problems which may lack solutions or have multiple solutions. Previously, issues related to thermal contact and issues related to frictional heating have been discussed separately. In this work, the two effects are coupled. Theorems of existence and uniqueness of solutions in two or three space dimensions are obtained - essentially extending, to frictional heating, results due to Duvaut, which were built on Barber's heat exchange conditions. Two qualitatively different existence results are given. The first one requires that the contact thermal resistance goes to zero at least as fast as the inverse of the contact pressure. The second existence theorem requires no such growth condition, but requires instead that the frictional heating, i.e. the sliding velocity times the friction coefficient, is small enough. Finally, it is shown that a solution is unique if the inverse of the contact thermal resistance is Lipschitz continuous and the Lipschitz constant, as well as the frictional heating, is small enough.

  • 7.
    Andersson, Lars-Erik
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
    Klarbring, Anders
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Barber, J.R.
    University of Michigan.
    Ciavarella, M.
    Politecnio di Bari.
    Thermoelastic Contact with Frictional Heating2006In: Nonsmooth Mechanics and Analysis,2003, New York: Springer Science+business Media, inc. , 2006, p. 61-Conference paper (Refereed)
  • 8.
    Edlund, Ulf
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Volgers, Pieter
    A composite ply failure model based on continuum damage mechanics2004In: Composite structures, ISSN 0263-8223, E-ISSN 1879-1085, Vol. 65, no 3-4, p. 347-355Article in journal (Refereed)
    Abstract [en]

    A material model including the failure behaviour is derived for a thin unidirectional (UD) composite ply. The model is derived within a thermodynamic framework and the failure behaviour is modelled using continuum damage mechanics. The following features describe the model: (i) The ply is assumed to be in a plane state of stress. (ii) Three damage variables associated with the stress in the fibre-, transverse and shear directions, respectively, are used. (iii) The plastic behaviour of the matrix material is modelled. (iv) The difference in the material response in tensile and compressive loading is modelled. (v) Rate dependent behavior of plasticity and damage (i.e. strength) is modelled.

  • 9. F, Pfeiffer
    et al.
    Ch., Glocker
    Johansson, Lars
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    An Algorithm for Rigid Body Contact with Coulomb Friction2000In: TUTAM Symposium on Unilateral Multibody Dynamics,1999, 2000Conference paper (Other academic)
  • 10.
    Gunnarsson, Svante
    et al.
    Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
    Krus, Petter
    Linköping University, Department of Mechanical Engineering, Engineering Mechanics. Linköping University, The Institute of Technology.
    Adaptive Control of Hydraulic Actuators with Flexible Mechanical Loads1990In: Proceedings of the 9th International Symposium on Fluid Power, 1990, p. 149-158Conference paper (Refereed)
  • 11.
    Gunnarsson, Svante
    et al.
    Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
    Krus, Petter
    Linköping University, Department of Mechanical Engineering, Engineering Mechanics. Linköping University, The Institute of Technology.
    Fluid Power Control of a Flexible Mechanical Structure1997Report (Other academic)
    Abstract [en]

    Control of a hydraulic crane is considered. Due to the oscillatory character of the system smooth the operation of the crane is a demanding task. In order to improve the handling properties feedback control of the crane is studied. Based on linearized models feedback regulators of both LQG and PID type are designed. The feedback is based on position, pressure and acceleration measurements. Since the properties of the system change with load and operating point adaptive control is also introduced. The use of accelerometer signals for impact detection is also discussed. The proposed solutions are tested in both simulations and experiments on a real crane.

  • 12.
    Ireman, Peter
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Algorithms for gradient damage models based on a semi-smooth Newton method2005In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 194, no 6-8, p. 727-741Article in journal (Refereed)
    Abstract [en]

    In this paper two different algorithms are applied to a model of brittle damage including the gradient of the damage variable. Both algorithms are based on a modified Newton method. In the first algorithm the Newton method is applied directly to the whole system of equations, while in the second algorithm, the equilibrium equations and the damage evolution problem are solved uncoupled from each other in a Gauss-Seidel scheme. The algorithms are applied to two different formulations of the problem. In the first formulation the thermodynamic force, work conjugate to the damage variable is kept as an auxiliary variable, while in the second formulation this variable is eliminated. It turns out that the formulation using the extra variable is more robust in the sense that the algorithms converge even for very large load increments. On the other hand, the formulation where the extra variable is eliminated is more efficient for small time steps since a smaller system of equations is solved for each increment. Furthermore, it is found that the direct approach is more efficient than the decoupled approach for this problem.

  • 13.
    Ireman, Peter
    et al.
    Linköping University, Department of Mechanical Engineering, Engineering Mechanics. Linköping University, The Institute of Technology.
    Nguyen, Q.-S.
    Lab. de Mécanique des Solides, CNRS(umr7649), École Polytechnique, Palaiseau, France.
    Using the gradients of temperature and internal parameters in Continuum Thermodynamics2004In: Comptes rendus. Mecanique, ISSN 1631-0721, E-ISSN 1873-7234, Vol. 332, no 4, p. 249-255Article in journal (Refereed)
    Abstract [en]

    In this paper, the possibility of using the gradients of the temperature and of the internal parameters as additional state variables in Continuum Thermodynamics is considered. The expressions of the two principles are discussed and Clausius-Duhem inequality is derived under an appropriate statement of the internal entropy production. Several formulations are proposed and compared to existing results in the literature. To cite this article: P. Ireman, Q.S. Nguyen, C. R. Mecanique 332 (2004). © 2004 Académie des sciences. Published by Elsevier SAS. All rights reserved.

  • 14.
    Johansson, Lars
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    A flight dynamics course based on MTLAB computer assignme2001Other (Other (popular science, discussion, etc.))
    Abstract [en]

        

  • 15.
    Johansson, Lars
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Privatlärare drev fram mattesnillen2004In: Svenska dagbladet, ISSN 1101-2412, no 2 november, p. 63-63Article in journal (Other (popular science, discussion, etc.))
  • 16.
    Johansson, Lars
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Klarbring, Anders
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    A Method for Rigid Body Dynamics Based on B-differentiable Equations1999In: Euromech Colloquim 397 Impact in Numerical Systems,1999, 1999Conference paper (Other academic)
  • 17.
    Klarbring, Anders
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Topology Optimization in solid and fluid mechanics2004In: Workshop i tillämpad matematikArticle in journal (Other (popular science, discussion, etc.))
  • 18.
    Klarbring, Anders
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Avilia-Pozos, o.
    Movchan, A.B.
    Asymptotic Model of Orthotropic Highly Inhomogeneous Layered Structure1999In: Mechanics of materials (Print), ISSN 0167-6636, E-ISSN 1872-7743, Vol. 31, p. 101-115Article in journal (Other (popular science, discussion, etc.))
  • 19.
    Klarbring, Anders
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Christensen, Peter
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Newton's Method for Frictional Contact Problems1999Other (Other (popular science, discussion, etc.))
  • 20.
    Klarbring, Anders
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Christensen, Peter
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Pang, J.S.
    Strömberg, Niclas
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Formulation and Comparison of Algorithms for Frictional Contact Problems1999In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 42, p. 145-173Article in journal (Other academic)
  • 21.
    Klarbring, Anders
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Hilding, D.
    Pang, J-S
    Minimization of Maximum Unilateral Force1999In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 177, no 3-4, p. 215-234Article in journal (Other (popular science, discussion, etc.))
  • 22.
    Klarbring, Anders
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Movchan, A.B.
    Asymptotic Modelling of Adhesive Joints1999In: Mechanics of materials (Print), ISSN 0167-6636, E-ISSN 1872-7743, Vol. 28, p. 137-145Article in journal (Other (popular science, discussion, etc.))
  • 23.
    Klarbring, Anders
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Olsson, Tobias
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Stålhand, Jonas
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Residual Stress Fields in Soft Tissues2004In: 21st International Congress of Theoretical and Applied Mechanics,2004, 2004, p. 20-20Conference paper (Refereed)
  • 24.
    Klarbring, Anders
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Pang, J-S
    The Discrete Steady Sliding Problem1999In: Zeitschrift für angewandte Mathematik und Mechanik, ISSN 0044-2267, E-ISSN 1521-4001, Vol. 79, no 2, p. 75-90Article in journal (Other (popular science, discussion, etc.))
  • 25.
    Lundvall, Olle
    Linköping University, Department of Mechanical Engineering, Engineering Mechanics. Linköping University, The Institute of Technology.
    Simulation of contact, friction and wear in gears: a finite element approach2000Licentiate thesis, comprehensive summary (Other academic)
    Abstract [en]

    In this thesis, resent methods in computational contact mechanics is brought into the process of gear design. The finite element method is used to model two elastic bodies in contact. By defining a contact interface between these two bodies, constitutive laws, regarding normal contact, friction and wear, are included. Then a system of non-smooth equations is obtained which is solved by a modified Newton method. The method developed in this work produces very accurate results, which is important in gear technology where the impact of small geometrical features of the tooth profile affects the overall performance of a loaded gear. Two different gear problems are treated in which gear noise is related to wear.

    In Paper I, a wear problem in a planetary gear is investigated. In a planetary range gear of a heavy truck, a wear damage develops in a particular operating situation. A whining noise is a consequence of this damage. Two different hypothesis of the cause of this damage were tested by the method developed and then some important conclusions could be drawn.

    In Paper II, the method is extended so that large rotations can be treated. The method then furnishes an accurate tool for computing the transmission error, which is a measure that is related to gear noise. It is also investigated how the transmission error is affected by wear.

  • 26.
    Lundvall, Olle
    et al.
    Linköping University, Department of Mechanical Engineering, Engineering Mechanics. Linköping University, The Institute of Technology.
    Klarbring, Anders
    Linköping University, Department of Mechanical Engineering, Engineering Mechanics. Linköping University, The Institute of Technology.
    Simulation of wear by use of a nonsmooth Newton method: a spur gear application2001In: Mechanics of structures and machines (Print), ISSN 0890-5452, E-ISSN 1525-612X, Vol. 29, no 2, p. 223-238Article in journal (Refereed)
    Abstract [en]

    This paper presents a method for calculating wear between two elastic bodies in contact. Discrete representations of the bodies are obtained by the finite element method. Constitutive laws representing the behavior of the interacting surfaces are then added. These are Signorini's contact law, Coulomb's law of friction, and Archard's law of wear. By formulating Signorini's contact law and Coulomb's law of friction by means of projection equations, the complete formulation of a time increment of a quasistatic wear-friction evolution problem becomes a system of nonsmooth equations. A modification of Newton's method is applied to solve this system. The method is applied to a spur gear problem in a heavy truck transmission.

  • 27. Martins, J.A.C:
    et al.
    Klarbring, Anders
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Preface1999In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 177, p. 163-165Article in journal (Other (popular science, discussion, etc.))
  • 28.
    Olsson, Tobias
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Thermodynamics of a Continuum With a Growing Mass2005Report (Other academic)
  • 29.
    Olsson, Tobias
    et al.
    Linköping University, Department of Mechanical Engineering, Engineering Mechanics. Linköping University, The Institute of Technology.
    Klarbring, Anders
    Linköping University, Department of Mechanical Engineering, Engineering Mechanics. Linköping University, The Institute of Technology.
    Boundary Value Problems of an Initially Stressed Body2004Report (Other academic)
    Abstract [en]

    The initial strain in a body can be described by a two-point tensor that maps tangent vectors between a local stress free configuration (manifolds) and the initially strained configuration. The initial strain tensor can be used to form a metric tensor and this metric can be used to induce a third manifold. The boundary value problem of an elastic body is in this paper formulated on these three manifolds: the induced manifold, the initially strained configuration and the local stress free configuration. Moreover, we consider a hyperelastic body with incompressible properties and we show that in that case, the divergence of the first Piola- Kirchhoff stress tensor defined on the initially strained configuration and on the induced manifold coincide. There-fore, we conclude that for an incompressible material, the boundary value problems stated on the initially strained configuration and on the induced manifold are the same.

  • 30.
    Petersson, Joakim
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Almost Isotrpic Perimeters in Topology Optimization: Theoretical and Numerical Aspects1999Other (Other (popular science, discussion, etc.))
  • 31.
    Petersson, Joakim
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and locak minima1999In: Structural and multidisciplinary optimization (Print), ISSN 1615-147X, E-ISSN 1615-1488, Vol. 16, p. 68-75Article in journal (Other (popular science, discussion, etc.))
  • 32.
    Petersson, Joakim
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Some Convergence Results in Perimeter-Controlled Topology Optimization1999In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 171, p. 123-140Article in journal (Other (popular science, discussion, etc.))
  • 33.
    Petersson, Joakim
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Beckers, Muriel
    Duysinx, Piere
    Almost Isotropic Perimeters in Topology Optimization: Theoretical and Numerical Aspects2000Other (Other (popular science, discussion, etc.))
  • 34.
    Petersson, Joakim
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Sigmund, O.
    Slope Constrained Topology Optimizaton1999In: International Journal for Numerical Methods in Engineering, ISSN 0029-5981, E-ISSN 1097-0207, Vol. 41, p. 1417-1438Article in journal (Other (popular science, discussion, etc.))
  • 35.
    Strömberg, Niclas
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    A Newton method for three-dimensional fretting problems2000Other (Other (popular science, discussion, etc.))
  • 36.
    Strömberg, Niclas
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    An Assessment of Continuum Model for Cracking in Uranium Dioxid1998Other (Other (popular science, discussion, etc.))
  • 37.
    Strömberg, Niclas
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Finite Element Treatment of Thermoelastic Wear Problems1999In: Intl Symposium on Impact and Friction of Solids, Structures and Machines,1998, 1999Conference paper (Other academic)
  • 38.
    Strömberg, Niclas
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Finite element Treatment of Thermoelastic Wear Problems1999In: IUTAM-Symposium on Unilaterial Multibody Dynamics,1998, 1999Conference paper (Other academic)
  • 39.
    Strömberg, Niclas
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Finite element treatment of two-dimensional thermoelastic wear problems2000Other (Other (popular science, discussion, etc.))
  • 40.
    Strömberg, Niclas
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Finite Element Treatment of Two-dimensional Thermoelastic Wear Problems1999In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 1777, p. 441-455Article in journal (Other academic)
  • 41.
    Strömberg, Niclas
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    JAS39 VU/EBS MLG CDR Package S.O.R. 1471999Other (Other (popular science, discussion, etc.))
  • 42.
    Strömberg, Niclas
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Reprinted from Computer methods in Applied mechanics and engineering2000Other (Other (popular science, discussion, etc.))
  • 43.
    Stålhand, Jonas
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    In-vivo Aorta Parameter Identification Using a Relaxed Force Constraint2004In: Symposium on Mechanics of Biological Tissue,2004, 2004Conference paper (Other academic)
  • 44.
    Stålhand, Jonas
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Klarbring, Anders
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    In vivo parameter identification in arteries including smooth muscle contraction2005Report (Other academic)
  • 45.
    Stålhand, Jonas
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Klarbring, Anders
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Parameter Identification i Arteries Using Constraints2006In: IUTAM Symposium on Mechanics of Biological Tissue,2004, Heidelberg: Springer Verlag , 2006, p. 295-Conference paper (Refereed)
  • 46.
    Wiker, Niclas
    et al.
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    Borrvall, Thomas
    Linköping University, Department of Mechanical Engineering. Linköping University, The Institute of Technology.
    Klarbring, Anders
    Linköping University, The Institute of Technology. Linköping University, Department of Mechanical Engineering, Engineering Mechanics.
    The Darcy-Stokes Topology Optimization Problem2006In: IUTAM Symposium on Topological Design Optimization of Structures, Mashines and Materials: Status and Perspectives,2005, Dordrecht: Springer , 2006, p. 551-Conference paper (Refereed)
    Abstract [en]

    This paper treats the optimal layout of mixtures of regions of Stokes viscosity dominated flow and regions of Darcy porous flow. The problem of minimizing the potential of the state problem, representing essentially dissipation, is formulated, and can be shown to have a solution under appropriate filtering of the design. It can also be shown that the unfiltered design has a zero--one property. An area-to-point flow problem is solved for various filter radii.

  • 47.
    Wiker, Niclas
    et al.
    Linköping University, Department of Mechanical Engineering, Engineering Mechanics. Linköping University, The Institute of Technology.
    Klarbring, Anders
    Linköping University, Department of Mechanical Engineering, Engineering Mechanics. Linköping University, The Institute of Technology.
    Borrvall, Thomas
    Linköping University, Department of Mechanical Engineering, Engineering Mechanics. Linköping University, The Institute of Technology.
    Optimization of bottom profile in shallow water flowManuscript (preprint) (Other academic)
    Abstract [en]

    In t his paper, a design method for creating optimal bottom profiles in flow systems, described by the linear shallow water equations, is proposed. The method is based on techniques commonly found in the area of topology optimization of structures. The presentation includes a derivation of the linearand stationary shallow water equations, which are used as state equations in the optimizaton problem. The final problem definition is closely related to the Darcy-Stokes fluid flow topology optimization problem, from which many results are derived by analogy.

    From the numerical examples, it is concluded that natural-like designs can be created for proper choices of parameter values.

1 - 47 of 47
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