A variational multiscale method with linear tetrahedral elements for multiplicative viscoelasticity

被引：8

作者：

Abboud, Nabil ^{[1
]}

Scovazzi, Guglielmo ^{[1
]}

机构：

[1] Duke Univ, Dept Civil & Environm Engn, Durham, NC 27708 USA

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2021年 / 112卷

关键词：

Viscoelasticity; Linear tetrahedral elements; Finite element method; Stabilized method; Variational multiscale method; Nonlinear mechanics; 1ST-ORDER HYPERBOLIC FRAMEWORK; PETROV-GALERKIN FORMULATION; FINITE-ELEMENT; INCOMPRESSIBLE ELASTICITY; CONSERVATION-LAWS; VISCOPLASTIC FLOW; EQUAL ORDER; TRIANGLES; DISPLACEMENT; ALGORITHM;

D O I：

10.1016/j.mechrescom.2020.103610

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We present a computational approach to solve problems in multiplicative nonlinear viscoelasticity using piecewise linear finite elements on triangular and tetrahedral grids, which are very versatile for simulations in complex geometry. Our strategy is based on (1) formulating the equations of mechanics as a mixed first-order system, in which a rate form of the pressure equation is utilized in place of the standard constitutive relationship, and (2) utilizing the variational multiscale approach, in which the stabilization parameter is scaled with the viscous energy dissipation. (c) 2020 Elsevier Ltd. All rights reserved.

引用

页数：16

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