The scattering of harmonic waves by two collinear symmetric cracks is studied using the non-local theory. A one-dimensional non-local kernel was used to replace a two-dimensional one for the dynamic problem to obtain ...
Bifurcations of one kind of reaction_diffusion equations, u″+μ(u-u k)=0(μ is a parameter,4≤k∈Z +), with boundary value condition u(0)=u(π)=0 are discussed. By means of singularity theory based on the method of...
Field equations of the non-local elasticity are solved to determine the state of stress in a plate with a Griffith crack subject to uniform tension. Then a set of dual-integral equations is solved using a new method, ...