An isogeometric method for linear nearly-incompressible elasticity with local stress projection

被引：11

作者：

Antolin, Pablo ^{[1
]}

Bressan, Andrea ^{[2
]}

Buffa, Annalisa ^{[2
,3
]}

Sangalli, Giancarlo ^{[1
,2
]}

机构：

[1] Univ Pavia, Dipartimento Matemat, Via Ferrata 5, I-27100 Pavia, Italy

[2] CNR, Ist Matemat Applicata & Tecnol Informat E Magenes, Via Ferrata 1, I-27100 Pavia, Italy

[3] Ecole Polytech Fed Lausanne, Math Inst Computat Sci & Engn, CH-1015 Lausanne, Switzerland

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2017年 / 316卷

基金：

欧洲研究理事会;

关键词：

Nearly-incompressible elasticity; Inf-sup stability; Isogeometric analysis; B-method; Splines and NURBS; FINITE-ELEMENT METHODS; NURBS; APPROXIMATION; SPLINES;

D O I：

10.1016/j.cma.2016.09.033

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we propose an isogeometric method for solving the linear nearly-incompressible elasticity problem. The method is similar to the (B) over bar formulation where the volumetric strain is projected on a lower degree spline space in order to prevent volumetric locking. In our method, we adopt a local projection on a coarser mesh, chosen in order to guarantee optimal convergence. Moreover the locality of the projector allows to maintain the sparsity of the stiffness matrix, that is, the efficiency of the method. The analysis of the method is based on the inf-sup stability of the associated mixed formulation via a macro-element technique for spline functions. The numerical tests confirm the theory of the method. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：694 / 719

页数：26

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