Suggests a general method based on the general solutions of the governing equations for the linear elastic medium to solve unilateral interface problems in terms of functional equations and discusses the supersonic wa...Suggests a general method based on the general solutions of the governing equations for the linear elastic medium to solve unilateral interface problems in terms of functional equations and discusses the supersonic wave field in detail for the two half planes problems, gives its analytical solutions and concludes that the solving procedures shown here can completely be applied to subsonic and transonic wave fields and other analogous problems.展开更多
A 2D time domain boundary element method(BEM)is developed to solve the transient scattering of plane waves by a unilaterally frictionally constrained inclusion.Coulomb friction is assumed along the contact interface.T...A 2D time domain boundary element method(BEM)is developed to solve the transient scattering of plane waves by a unilaterally frictionally constrained inclusion.Coulomb friction is assumed along the contact interface.The incident wave is assumed strong enough so that localized slip and separation take place along the interface.The present problem is in effect a nonlinear boundary value problem since the mixed boundary conditions involve unknown intervals (slip,separation and stick regions).In order to determine the unknown intervals,an iterative technique is developed.As an example,we consider the scattering of a circular cylinder embedded in an infinite solid.展开更多
文摘Suggests a general method based on the general solutions of the governing equations for the linear elastic medium to solve unilateral interface problems in terms of functional equations and discusses the supersonic wave field in detail for the two half planes problems, gives its analytical solutions and concludes that the solving procedures shown here can completely be applied to subsonic and transonic wave fields and other analogous problems.
基金Project supported by the National Natural Science Foundation of China(Nos.19872001 and 59878004)the National Natural Science Foundation for Distinguished Young Scholars(No.10025211).
文摘A 2D time domain boundary element method(BEM)is developed to solve the transient scattering of plane waves by a unilaterally frictionally constrained inclusion.Coulomb friction is assumed along the contact interface.The incident wave is assumed strong enough so that localized slip and separation take place along the interface.The present problem is in effect a nonlinear boundary value problem since the mixed boundary conditions involve unknown intervals (slip,separation and stick regions).In order to determine the unknown intervals,an iterative technique is developed.As an example,we consider the scattering of a circular cylinder embedded in an infinite solid.
