کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
785995 1465406 2007 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some exact solutions for a class of compressible non-linearly elastic materials
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Some exact solutions for a class of compressible non-linearly elastic materials
چکیده انگلیسی

In this paper we consider exact solutions for plane and axisymmetric deformations for a class of compressible elastic materials we call coharmonic. The coharmonic materials are derived from the harmonic materials by using Shield's inverse deformation theorem. The governing equations for the coharmonic material show the same kind of simplification associated with the harmonic materials. The equations reduce to first-order linear equations depending on an arbitrary harmonic function. They are intractable in general, so various ansätze are investigated. Boundary value problems for the coharmonic materials are compared with the same problems for harmonic materials. For certain boundary value problems, the harmonic materials exhibit well-known problematic behaviour which limits their use as models of material behaviour. The corresponding solutions for the coharmonic materials do not display these non-physical features.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 42, Issue 2, March 2007, Pages 321–329
نویسندگان
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