کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4604690 1337462 2010 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A relaxation process for bifunctionals of displacement-Young measure state variables: A model of multi-material with micro-structured strong interface
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
A relaxation process for bifunctionals of displacement-Young measure state variables: A model of multi-material with micro-structured strong interface
چکیده انگلیسی

The gradient displacement field of a micro-structured strong interface of a three-dimensional multi-material is regarded as a gradient-Young measure so that the stored strain energy of the material is defined as a bifunctional of displacement-Young measure state variables. We propose a new model by computing a suitable variational limit of this bifunctional when the thickness and the stiffness of the strong material are of order ε and respectively. The stored strain energy functional associated with the model in pure displacements living in a Sobolev space is obtained as the marginal map of the limit bifunctional. We also obtain a new asymptotic formulation in terms of Young measure state variable when considering the other marginal map.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 27, Issue 2, March–April 2010, Pages 447-469