Topology optimization with incompressible materials under small and finite deformations using mixed u/p elements

被引:14
作者
Zhang, Guodong [1 ]
Alberdi, Ryan [1 ]
Khandelwal, Kapil [1 ]
机构
[1] Univ Notre Dame, Dept Civil & Environm Engn & Earth Sci, 156 Fitzpatrick Hall, Notre Dame, IN 46556 USA
基金
美国国家科学基金会;
关键词
finite deformation; incompressible materials; material interpolation; mixed u/p elements; topology optimization; GEOMETRICALLY NONLINEAR STRUCTURES; ISOTROPIC ELASTICITY; INCOMPATIBLE MODES; DESIGN; ENERGY; FORMULATION; STABILITY; ALGORITHM; TISSUES; FILTERS;
D O I
10.1002/nme.5834
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper focuses on topology optimization utilizing incompressible materials under both small- and finite-deformation kinematics. To avoid the volumetric locking that accompanies incompressibility, linear and nonlinear mixed displacement/pressure (u/p) elements are utilized. A number of material interpolation schemes are compared, and a new scheme interpolating both Young's modulus and Poisson's ratio (E-nu interpolation) is proposed. The efficacy of this proposed scheme is demonstrated on a number of examples under both small- and finite-deformation kinematics. Excessive mesh distortions that may occur under finite deformations are dealt with by extending a linear energy interpolation approach to the nonlinear u/p formulation and utilizing an adaptive update strategy. The proposed optimization framework is demonstrated to be effective through a number of representative examples.
引用
收藏
页码:1015 / 1052
页数:38
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