搜索结果: 1-5 共查到“数学 crack”相关记录5条 . 查询时间(0.078 秒)
Existence of solutions for a higher order non-local equation appearing in crack dynamics
Hydraulic fractures Higher order equation Non-local equation Thin film equation Non-negative solutions periodic Hilbert transform
2015/10/15
In this paper, we prove the existence of non-negative solutions for a non-local higher order degenerate parabolic equation arising in the modeling of hydraulic fractures. The equation is similar to th...
Solution of Singular Integrals in Mathematical Model of Mode I Crack near Strength Mismatched Interface
Crack Opening Displacement Singular Integrals Strength Mismatch Weld Interface Cauchy’s Principal Value Theorem
2013/1/30
Characteristics of Mode I crack near the interface of elasticity matched but plasticity and strength mismatched materials differ from those of the crack in a homogenous body. Interface body of differe...
The paper presents a model of a dynamic crack with a wavy surface. So far, theoretical analysis of crack front waves has been performed only for in-plane perturbations of the crack front. In the prese...
Study of three-dimensional crack fronts under plane stress using a phase field model
Materials Science (cond-mat.mtrl-sci) Other Condensed Matter (cond-mat.other) Pattern Formation and Solitons (nlin.PS)
2010/11/11
The shape of a crack front propagating through a thin sample is studied using a phase field model. The model is shown to have a well defined sharp interface limit. The crack front is found to be an el...
Some dynamic propagation problems concerning mode III crack
complex functions mode Ⅲ crack
2010/9/17
By the methods of the theory of complex functions, dynamic propagation problems concerning mode Ⅲ crack were investigated. Analytical solutions can be obtained by the approaches of self-similar functi...