Fields in non-degenerate 1D-3D elastic multi-structures
2001 (English)In: Quarterly Journal of Mechanics and Applied Mathematics, ISSN 0033-5614, Vol. 54, no 2, 177-212 p.Article in journal (Refereed) Published
We analyse 1D-3D elastic multi-structures defined as solids involving finite-size three-dimensional elastic regions connected with thin rods. In the limit, when the thickness of the thin rods tends to zero, one has a union of a three-dimensional region and a set of thin rods. Classes of degenerate and non-degenerate multi-structures are specified, and asymptotic expansions of solutions of mixed boundary-value problems of linear elasticity are constructed. Asymptotic analysis, given in this work, provides rigorous justification of the existing engineering pile-structure models, and it also enables one to construct new models of high accuracy.
Place, publisher, year, edition, pages
2001. Vol. 54, no 2, 177-212 p.
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-47398DOI: 10.1093/qjmam/54.2.177OAI: oai:DiVA.org:liu-47398DiVA: diva2:268294