QQ客服 官方微博 反馈留言

	A NUMERICAL STUDY ON CAVITATION IN NONLINEAR ELASTICITY - DEFECTS AND CONFIGURATIONAL FORCES
	Lian, Yijiang ; Li, Zhiping
	2011
关键词	Isoparametric finite element cavitation nonlinear elasticity energy minimization configurational force NON-LINEAR ELASTICITY SINGULAR MINIMIZERS COMPUTATION
英文摘要	An iso-parametric finite element method is introduced in this paper to study cavitations and configurational forces in nonlinear elasticity. The method is shown to be highly efficient in capturing the cavitation phenomenon, especially in dealing with multiple cavities of various sizes and shapes. Our numerical experiments verified and extended, for a class of nonlinear elasticity materials, the theory of Sivaloganathan and Spector on the configurational forces of cavities, as well as justified a crucial hypothesis of the theory on the cavities. Numerical experiments on configurational forces indicate that, in the case of a round reference configuration with radially symmetric stretch on the boundary, the cavitation centered at the origin is the unique energy minimizer. Numerical experiments also reveal an interesting size effect phenomenon: for macro-scale pre-existing-defects, the cavitation process is dominated by the relatively larger pre-existing-defects, and the cavitation tendency of much smaller pre-existing-defects is significantly suppressed.; Mathematics, Applied; SCI(E); EI; 4; ARTICLE; 12; 2551-2574; 21
语种	英语
出处	SCI ; EI
出版者	mathematical models methods in applied sciences
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/394095]
专题	数学科学学院
推荐引用方式 GB/T 7714	Lian, Yijiang,Li, Zhiping. A NUMERICAL STUDY ON CAVITATION IN NONLINEAR ELASTICITY - DEFECTS AND CONFIGURATIONAL FORCES. 2011-01-01.

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。