کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
788177 1465383 2009 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Surface waves and surface stability for a pre-stretched, unconstrained, non-linearly elastic half-space
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Surface waves and surface stability for a pre-stretched, unconstrained, non-linearly elastic half-space
چکیده انگلیسی

An unconstrained, non-linearly elastic, semi-infinite solid is maintained in a state of large static plane strain. A power–law relation between the pre-stretches is assumed and it is shown that this assumption is well motivated physically and is likely to describe the state of pre-stretch for a wide class of materials. A general class of strain-energy functions consistent with this assumption is derived. For this class of materials, the secular equation for incremental surface waves and the bifurcation condition for surface instability are shown to reduce to an equation involving only ordinary derivatives of the strain-energy equation. A compressible neo-Hookean material is considered as an example and it is found that finite compressibility has little quantitative effect on the speed of a surface wave and on the critical ratio of compression for surface instability.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: International Journal of Non-Linear Mechanics - Volume 44, Issue 5, June 2009, Pages 545–551
نویسندگان
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