A finite-strain solid-shell using local Lowdin frames and least-squares strains

被引：9

作者：

Areias, P. ^{[1
,4
]}

Mota Soares, C. A. ^{[2
]}

Rabczuk, T. ^{[3
]}

Garcao, J. ^{[1
,4
]}

机构：

[1] Univ Evora, Dept Phys, Colegio Luis Antonio Verney, Rua Romao Ramalho 59, P-7002554 Evora, Portugal

[2] Univ Lisbon, Inst Super Tecn, IDMEC, P-1049001 Lisbon, Portugal

[3] Bauhaus Univ Weimar, Inst Struct Mech, Marienstr 15, D-99423 Weimar, Germany

[4] Inst Super Tecn, CERIS, Lisbon, Portugal

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2016年 / 311卷

关键词：

Finite-strain solid shell; Least-squares; Assumed-strains; Singular value decomposition; MESHFREE THIN SHELL; HYBRID STRESS; ELEMENT; FORMULATION; FRACTURE; PLATES;

D O I：

10.1016/j.cma.2016.07.044

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A finite-strain solid shell element is proposed. It is based on least-squares in-plane assumed strains, assumed natural transverse shear and normal strains. The singular value decomposition (SVD) is used to define local (integration-point) orthogonal frames-of-reference solely from the Jacobian matrix. The complete finite-strain formulation is derived and tested. Assumed strains obtained from least-squares fitting are an alternative to the enhanced-assumed-strain (EAS) formulations and, in contrast with these, the result is an element satisfying the Patch test. There are no additional degrees-of-freedom, as it is the case with the enhanced assumed -strain case, even by means of static condensation. Least-squares fitting produces invariant finite strain elements which are shear-locking free and amenable to be incorporated in large-scale codes. With that goal, we use automatically generated code produced by AceGen and Mathematica. All benchmarks show excellent results, similar to the best available shell and hybrid solid elements with significantly lower computational cost. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：112 / 133

页数：22

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