Transient elastodynamics around cracks including contact and friction

In this paper, some numerical investigations of fast transient elastodynamic problems are presented, which consider especially the interaction of elastic waves with cracks, including contact and friction. For this purpose, a boundary element formulation in the time domain is coupled with contact mechanics models previously proposed and tested by the authors in the framework of elastostatic contact problems. In the numerical examples, qualitative and quantitative effects of the interaction between elastic waves and non-classical, unilateral cracks are briefly discussed.

[1]  P. Panagiotopoulos,et al.  A new class of multilevel decomposition algorithms for non monotone problems based on the quasidifferentiability concept , 1994 .

[2]  P. Panagiotopoulos,et al.  Delamination of composites as a substationarity problem: Numerical approximation and algorithms , 1993 .

[3]  Z. Zhong Finite Element Procedures for Contact-Impact Problems , 1993 .

[4]  P. Panagiotopoulos,et al.  Hard and Soft Fingered Robot Grippers. The Linear Complementarity Approach , 1991 .

[5]  D. P. Rooke,et al.  BEM frictional contact analysis: modelling considerations , 1993 .

[6]  P. D. Panagiotopoulos,et al.  The Boundary Integral Approach to Static and Dynamic Contact Problems: Equality and Inequality Methods , 1992 .

[7]  H. Antes,et al.  Dynamic Contact of Elastic Bodies with Equality and Inequality B.E.M. , 1997 .

[8]  A. Klarbring,et al.  A mathematical programming approach to contact problems with friction and varying contact surface , 1988 .

[9]  Heinz Antes,et al.  Anwendungen der Methode der Randelemente in der Elastodynamik und der Fluiddynamik , 1988 .

[10]  J. Moreau,et al.  Unilateral Contact and Dry Friction in Finite Freedom Dynamics , 1988 .

[11]  Zhen-Xiang Gong,et al.  Review of:“Computational Methods for Free and Moving Boundary Problems in Heat Transfer and Fluid Flow”Editor: L.C. Wrobel and C.A. Brebbia Computational Mechanics Publications Southampton Boston Elsevier Applied Science London New York , 1994 .

[12]  Georgios E. Stavroulakis,et al.  Neural crack identification in steady state elastodynamics , 1998 .

[13]  Friedrich Pfeiffer,et al.  Multibody Dynamics with Unilateral Contacts , 1996 .

[14]  P. Panagiotopoulos Inequality problems in mechanics and applications , 1985 .

[15]  S. Hirose,et al.  2-D scattering by a crack with contact-boundary conditions , 1994 .

[16]  Heinz Antes,et al.  Recent developments in dynamic stress analyses by time domain BEM , 1991 .

[17]  Christoph Glocker,et al.  The Principles of d'Alembert, Jourdain, and Gauss in Nonsmooth Dynamics Part I: Scleronomic Multibody Systems , 1998 .

[18]  P. Panagiotopoulos,et al.  Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics , 1996 .

[19]  Panagiotis D. Panagiotopoulos,et al.  On the approximation of nonmonotone multivalued problems by monotone subproblems , 1994 .

[20]  J. Domínguez Boundary elements in dynamics , 1993 .

[21]  Panagiotis D. Panagiotopoulos,et al.  Hemivariational Inequalities: Applications in Mechanics and Engineering , 1993 .

[22]  G. Stavroulakis,et al.  Nondestructive elastostatic identification of unilateral cracks through BEM and neural networks , 1997 .

[23]  G. Stavroulakis,et al.  Nonconvex Optimization in Mechanics: Algorithms, Heuristics and Engineering Applications , 1997 .

[24]  B. Kwak,et al.  A complementarity problem formulation for two-dimensional frictional contact problems , 1988 .

[25]  D. Beskos,et al.  Boundary Element Methods in Elastodynamics , 1988 .

[26]  ON STRESS SINGULARITIES INDUCED BY THE DISCRETIZATION IN CURVED RECEDING CONTACT SURFACES: A BEM ANALYSIS , 1997 .

[27]  P. Panagiotopoulos,et al.  A nonlinear programming approach to the unilateral contact-, and friction-boundary value problem in the theory of elasticity , 1975 .