Simple zero thickness kinematically consistent interface elements

Abstract Interface finite elements have been used in many geotechnical and engineering applications. Essentially, these elements must allow relative displacements between two bodies in contact, or separated by a thin material layer. Frequently, interface elements behave as linear elastic bodies up to a limiting stress state. This linear behavior of interfaces is very important, because it will establish when the slip and/or separation occurs, causing stress redistribution over the mesh. In this paper, the mechanical behavior of interface elements is discussed. It is shown that the kinematic inconsistency pointed by Kaliakin and Li [Comp. Geotech. 17 (1995) 225] for the element proposed by Goodman et al. [ASCE J. Soil Mech. Fdns. Div. 99 (1968) 637] also occurs for other interface models, and new interface elements for 2D and 3D analyses without kinematic inconsistencies are proposed.

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

[2]  A. Coutinho,et al.  Edge‐based finite element techniques for non‐linear solid mechanics problems , 2001 .

[3]  D. A. Karabatakis,et al.  Analysis of creep behaviour using interface elements , 2002 .

[4]  Victor N. Kaliakin,et al.  Insight into deficiencies associated with commonly used zero-thickness interface elements , 1995 .

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

[6]  F. Ulm,et al.  Use of neural networks for fitting of FE probabilistic scaling model parameters , 1999 .

[7]  D. Ngo,et al.  Finite Element Analysis of Reinforced Concrete Beams , 1967 .

[8]  Eduardo Alonso,et al.  A New Joint Element, For The Analysis Of Fractured Rock , 1983 .

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

[10]  I. Carol,et al.  Micromechanical analysis of quasi‐brittle materials using fracture‐based interface elements , 2001 .

[11]  L. Herrmann Finite Element Analysis of Contact Problems , 1978 .

[12]  de R René Borst,et al.  On the numerical integration of interface elements , 1993 .

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

[14]  N. Shimizu,et al.  Practical equivalent continuum characterization of jointed rock masses , 2001 .

[15]  G. Gudehus,et al.  Finite Elements in Geomechanics , 1978 .

[16]  P.C.F. Ng,et al.  Assessment of three interface elements and modification of the interface element in CRISP90 , 1997 .

[17]  D. V. Griffiths Numerical studies of soil–structure interaction using a simple interface model , 1988 .

[18]  Roger Frank,et al.  Numerical analysis of contacts in geomechanics , 1982 .

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

[20]  Giuseppe Giambanco,et al.  Numerical analysis of masonry structures via interface models , 2001 .

[21]  G. Bfer,et al.  An isoparametric joint/interface element for finite element analysis , 1985 .