Finite element solution of surface nonlinearities in structural mechanics with special emphasis to contact and fracture mechanics problems

Fredriksson, Billy

doi:10.1016/0045-7949(76)90003-1

Cited by 156 publications

(24 citation statements)

References 6 publications

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“…The frictional contact constitutive law is related to nonclassical Coulomb law analogous to the theory of plasticity [8][9][10]. The increment of relative tangential motion is assumed to have the following decomposition…”

Section: Constitutive Relation On Contact Interfacementioning

confidence: 99%

Finite element simulation of multi-point sheet forming process based on implicit scheme

Cai

2005

Journal of Materials Processing Technology

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Section: Constitutive Relation On Contact Interfacementioning

confidence: 99%

Finite element simulation of multi-point sheet forming process based on implicit scheme

Cai

2005

Journal of Materials Processing Technology

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“…The first numerical algorithm, known as node-to-node (NTN), imposes contact constraints between pairs of nodes. This algorithm can be found in Francavilla and Zienkiewicz [4] and Fredriksson [5] for finite element method (FEM) and in Andersson et al [6] and París and Garrido [7] for boundary element method (BEM).…”

Section: Introductionmentioning

confidence: 99%

A surface-to-surface scheme for 3D contact problems by boundary face method

Shu

Zhang

Han

et al. 2016

Engineering Analysis with Boundary Elements

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a b s t r a c tThe surface-to-surface contact algorithm has been proposed to overcome the drawbacks of node-tosurface algorithm in finite element method implementations. In the surface-to-surface algorithm, contact constraints are imposed between sub-elements rather than between nodes, and an auxiliary plane for each element is introduced to perform overlapping area detection. This work presents a combination of the surface-to-surface algorithm and the boundary face method (BFM) for solving contact problems in three dimensions. The BFM is based on boundary integral equation and is a truly isogeometric method, as it makes direct use of the geometric information of the bounding surface of a body. Apparently, the BFM is more suitable for solving contact problems. In our implementation, the auxiliary plane is no more necessary, but replaced by the boundary faces themselves which already exist in the BFM data structure. Our implementation is natural and can more precisely match the contact conditions between faces, and therefore, higher level of accuracy can be expected. Numerical examples presented have demonstrated the advantages of the combined method.

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“…In particular, the sliding velocity has been formulated by a rigid perfectly plastic constitutive equation adopting the plastic flow rule by Seguchi et al (1974), Fredriksson (1976), and Michalowski and Mroz (1978). This has been extended by Curnier (1984), Cheng and Kikuchi (1985), Wriggers et al (1990), and Peric and Owen (1992) to be described by an elastic perfectly plastic constitutive equation, which incorporates the penalty parameters representing fictitious springs between contact surfaces.…”

Section: Introductionmentioning

confidence: 99%