کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4646018 | 1342076 | 2009 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Robust numerical analysis of homogeneous and non-homogeneous deformations
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Robust numerical analysis of homogeneous and non-homogeneous deformations Robust numerical analysis of homogeneous and non-homogeneous deformations](/preview/png/4646018.png)
چکیده انگلیسی
The present paper is devoted to the modeling of finite deformations of hyperelastic bodies described by Ogden's model. For the finite element implementation, the explicit expressions of the tangent operator and the stress tensor are derived. If the eigenvalues of the right Cauchy–Green strain tensor are distinct, a simple and compact tensor formula, well adapted for numerical implementation, is proposed. A limiting technique is used to take into account the special case of coalescent eigenvalues in which non-differentiability occurs. Three test examples, including homogeneous and non-homogeneous deformations, are proposed to illustrate the developed formulation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 59, Issue 7, July 2009, Pages 1499-1514
Journal: Applied Numerical Mathematics - Volume 59, Issue 7, July 2009, Pages 1499-1514