کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639840 1341252 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A dual-parametric finite element method for cavitation in nonlinear elasticity
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A dual-parametric finite element method for cavitation in nonlinear elasticity
چکیده انگلیسی

A dual-parametric finite element method is introduced in this paper for the computation of singular minimizers in the 2D cavitation problem in nonlinear elasticity. The method overcomes the difficulties, such as the mesh entanglement and material interpenetration, generally encountered in the finite element approximation of problems with extremely large expansionary deformation. Numerical experiments show that the method is highly efficient in the computation of cavitation problems. Numerical experiments are also conducted on discrete problems without the radial symmetry to show the validity of the method to more general settings and the potential of its application to the study of mechanism of cavity nucleation in nonlinear elastic materials.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 236, Issue 5, 1 October 2011, Pages 834–842
نویسندگان
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