Modelling of interface problems by the finite element method with considerable displacements

Abstract The method proposed here is intended for modelling interface problems where there is considerable displacement by using the finite element method. This method is different from standard formulations (contact elements or others) in that it takes into account special conditions for ensuring contact between any of the nodes of the interface (condition of non-interpenetration of areas and condition of equilibrium of the forces on either side of the slip line). This method is of particular interest in the case of considerable displacement when the contact areas deform a great deal and where the relative displacement between these areas is great. Numerous applications are possible since the modelling can be applied to all flexible and deformable structures where there are preferential slip planes (soil-structure contact and soil-reinforcement interface in the case of reinforced structures).

[1]  Musharraf Zaman,et al.  Thin‐layer element for interfaces and joints , 1984 .

[2]  Zhi-Qiang Feng,et al.  Analyses bi- et tridimensionnelle de problèmes de contact avec frottement par une méthode mixte des éléments finis , 1992 .

[3]  R Frank,et al.  UTILISATION DE LA METHODE DES ELEMENTS FINIS EN MECANIQUE DES SOLS DANS LE DOMAINE DE L'ELASTOPLASTICITE , 1982 .

[4]  Michael G. Katona,et al.  A simple contact–friction interface element with applications to buried culverts , 1983 .

[5]  C. Ramakrishnan,et al.  A finite element solution for the two‐dimensional elastic contact problems with friction , 1981 .

[6]  O. Zienkiewicz.  The Finite Element Method In Engineering Science , 1971 .

[7]  S. Ohte,et al.  Finite Element Analysis of Elastic Contact Problems , 1972 .

[8]  K. S. Miller.  Performance of reinforced soil structures , 1993 .

[9]  Jamshid Ghaboussi,et al.  Finite element for rock joints and interfaces , 1973 .

[10]  A. Gens,et al.  AN INTERFACE ELEMENT FORMULATION FOR THE ANALYSIS OF SOIL-REINFORCEMENT INTERACTION , 1989 .

[11]  Richard E. Goodman,et al.  CLOSURE ON A MODEL FOR THE MECHANICS OF JOINTED ROCK , 1968 .

[12]  K. G. Sharma,et al.  On joint/interface elements and associated problems of numerical ill‐conditioning , 1979 .

[13]  O. C. Zienkiewicz,et al.  A note on numerical computation of elastic contact problems , 1975 .

[14]  Cancela Rey,et al.  FIFTH INTERNATIONAL CONFERENCE ON GEOTEXTILES, GEOMEMBRANES AND RELATED PRODUCTS , 1995 .

[15]  David M. Potts,et al.  Zero thickness interface elements—numerical stability and application , 1994 .

[16]  G. Dhatt,et al.  Une présentation de la méthode des éléments finis , 1984 .

[17]  S. Chan,et al.  A finite element method for contact problems of solid bodies—Part I. Theory and validation , 1971 .