Boundary Value Problems of an Initially Stressed Body
2004 (English)Report (Other academic)
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.
Place, publisher, year, edition, pages
Linköping: Linköpings universitet , 2004. , 17 p.
LITH-IKP-R, ISSN 0281-5001 ; 1348
Boundary, Value, Problems Initially Stressed Body
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-22424Local ID: 1640OAI: oai:DiVA.org:liu-22424DiVA: diva2:242737