Frictional contact analysis of multiple cracks by incremental displacement and resultant traction boundary integral equations

Chen, Jeremy Tsung-Chieh; Chen, Wen‐Hwa

doi:10.1016/s0955-7997(98)00022-8

Cited by 12 publications

(9 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When an unbounded domain is considered and is subjected to uniform remote stress ij , Equation (16) reduces to the following system:…”

Section: Cracks In Unbounded Domainsmentioning

confidence: 99%

“…Thus far, FEM [13], BEM using an integral equation for the resultant forces along a crack [14][15][16], multi-domain BEM [17], dual BEM [18] and displacement discontinuity method (DDM) [19][20][21][22] are numerical methods that have been employed for crack friction problems. Note that DDM is a BEM technique based on the analytical solution to the problem of a constant discontinuity in displacement over a single crack in unbounded domain.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Symmetric‐Galerkin BEM simulation of fracture with frictional contact

Phan

Napier²,

Gray

et al. 2003

Numerical Meth Engineering

View full text Add to dashboard Cite

SUMMARYA symmetric-Galerkin boundary element framework for fracture analysis with frictional contact (crack friction) on the crack surfaces is presented. The algorithm employs a continuous interpolation on the crack surface (utilizing quadratic boundary elements) and enables the determination of two important quantities for the problem, namely the local normal tractions and sliding displacements on the crack surfaces. An e ective iterative scheme for solving this non-linear boundary value problem is proposed. The results of test examples are compared with available analytical solutions or with those obtained from the displacement discontinuity method (DDM) using linear elements and internal collocation. The results demonstrate that the method works well for di cult kinked=junction crack problems.

show abstract

“…When an unbounded domain is considered and is subjected to uniform remote stress ij , Equation (16) reduces to the following system:…”

Section: Cracks In Unbounded Domainsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Symmetric‐Galerkin BEM simulation of fracture with frictional contact

Phan

Napier²,

Gray

et al. 2003

Numerical Meth Engineering

View full text Add to dashboard Cite

show abstract

“…It should be mentioned that the BEM has been successfully applied for contact problems since many years (e.g. [1,3,22,23,25,28,42]) and has been proven to be generally very efficient and accurate for non-linear boundary conditions. Beside the mechanical crack-face boundary conditions, several electrical crack-face boundary conditions are proposed in the literature.…”

Section: Introductionmentioning

confidence: 99%

Dynamic crack analysis in piezoelectric solids with non-linear electrical and mechanical boundary conditions by a time-domain BEM

Wünsche

Zhang

García-Sánchez

et al. 2011

Computer Methods in Applied Mechanics and Engineering

View full text Add to dashboard Cite

“…The sub-region technique was also used by Man [8] and Aliabadi [9] for analysis of several types of contact problems, where linear and quadratic boundary elements were adopted. Coulomb's criterion was considered to model friction contact between cylindrical surfaces and crack lips by Gonzalez and Abascal [10] and Chen and Chen [11], respectively.…”

Section: Introductionmentioning

confidence: 99%