کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
788275 901244 2008 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Scenarios for the quasistatic growth of a slightly curved and kinked crack
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Scenarios for the quasistatic growth of a slightly curved and kinked crack
چکیده انگلیسی

A variational-asymptotic model of the Griffith criterion for the development of a crack is constructed for a complex stress-strain state. It is assumed that the shear loads are much smaller than the breaking loads but the longitudinal loading of the crack is taken into account. Using asymptotic analysis, the problem of finding the minimum of the total energy of a body with a crack reduces to a sequence of algebraic equations, the solutions of which determine the form of the branch of the crack and its length as a function of a time-like dimensionless parameter. The absence of solutions is treated as a conversion of the fracture process to a dynamic stage and the impossibility of a quasistatic formulation of the problem. In particular, the application of shear and longitudinal loads just leads to an avalanche-type growth of the crack.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Applied Mathematics and Mechanics - Volume 72, Issue 3, October 2008, Pages 347–359
نویسندگان
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