A corotational flat triangular element for large strain analysis of thin shells with application to soft biological tissues

被引：12

作者：

Caselli, Federica ^{[1
]}

Bisegna, Paolo ^{[1
]}

机构：

[1] Univ Roma Tor Vergata, Dept Civil Engn & Comp Sci, I-00133 Rome, Italy

来源：

COMPUTATIONAL MECHANICS | 2014年 / 54卷 / 03期

关键词：

Flat triangular shell element; Corotational formulation; Large strains; Soft biological tissues; GEOMETRICALLY NONLINEAR-ANALYSIS; FINITE-ELEMENT; REDUCED INTEGRATION; SOLID ELEMENT; FORMULATION; DEFORMATION; MECHANICS; IMPLEMENTATION; FRAMEWORK;

D O I：

10.1007/s00466-014-1038-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A flat triangular element for the nonlinear analysis of thin shells is presented. The formulation relies on (i) a polar decomposition based corotational framework and (ii) a core-element kinematic description adopting the multiplicative superposition of membrane and bending actions. The resulting element is a refined yet simple three-node displacement-based triangle accounting for thickness extensibility and initial shell curvature, and equipped with a fully consistent tangent stiffness. Numerical tests involving shell structures made of rubber-like materials or fibred biological tissues show the effectiveness of the proposed element and its suitability to problems characterized by large displacements, large rotations, large membrane strains and bending. A Matlab toolkit implementing the present formulation is provided as supplementary material.

引用

页码：847 / 864

页数：18

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