A general finite element approach for contact stress analysis

This paper presents a general finite element approach for the treatment of contact stress problems. Stanctard shape function routines are used for the detection of contact between previously separate meshes and for the application of displacement constraints where contact has been identified. The mesh contact routines are installed in an incremental approach whereby the contact constraints are imposed by using either penalty functions or Lagrange multipliers.

[1]  David J. Benson,et al.  Sliding interfaces with contact-impact in large-scale Lagrangian computations , 1985 .

[2]  Noboru Kikuchi,et al.  A smoothing technique for reduced integration penalty methods in contact problems , 1982 .

[3]  A. Curnier,et al.  A finite element method for a class of contact-impact problems , 1976 .

[4]  J. Oden,et al.  A numerical analysis of a class of contact problems with friction in elastostatics , 1982 .

[5]  W. Ostachowicz,et al.  Mixed finite element method for contact problems , 1984 .

[6]  Genki Yagawa,et al.  A dynamic contact buckling analysis by the penalty finite element method , 1990 .

[7]  K. Johnson.  One Hundred Years of Hertz Contact , 1982 .

[8]  N. Kikuchi,et al.  An Incremental Constitutive Relation of Unilateral Contact Friction for Large Deformation Analysis , 1985 .

[9]  Peter Wriggers,et al.  Finite deformation post‐buckling analysis involving inelasticity and contact constraints , 1986 .

[10]  J. Oden,et al.  Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods , 1987 .

[11]  John E. Mottershead,et al.  Two new finite element contact algorithms , 1989 .

[13]  K. Bathe,et al.  A four‐node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation , 1985 .

[14]  Francisco M. Guerra,et al.  Comparison of two slideline methods using ADINA , 1983 .

[15]  Genki Yagawa,et al.  A finite element method for contact problems related to fracture mechanics , 1984 .

[16]  J. Mottershead,et al.  Linear elastic contact problems using curved elements and including dynamic friction , 1988 .

[17]  H. Hertz.  Ueber die Berührung fester elastischer Körper. , 1882 .

[18]  Anil Chaudhary,et al.  A solution method for static and dynamic analysis of three-dimensional contact problems with friction , 1986 .

[19]  Marek Mazurkiewicz,et al.  Theory of finite element method for elastic contact problems of solid bodies , 1983 .

[20]  J. Oden,et al.  Nonlocal and Nonlinear Friction Laws and Variational Principles for Contact Problems in Elasticity , 1983 .

[21]  J. T. Oden,et al.  Numerical analysis of certain contact problems in elasticity with non-classical friction laws , 1983 .

[22]  C.Joseph Wong,et al.  Applications of nonlinear finite element method to contact problems and paper handling problems , 1984 .

[23]  J. T. Stadter,et al.  Analysis of contact through finite element gaps , 1979 .

[24]  Masaru Nakazawa,et al.  Finite element incremental contact analysis with various frictional conditions , 1979 .

[25]  Joseph Padovan,et al.  Pantographing self adaptive gap elements , 1985 .

[26]  J. T. Oden,et al.  A numerical analysis of contact and limit-point behavior in a class of problems of finite elastic deformation , 1984 .