International Journal for Numerical Methods in Engineering
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Combined extended and superimposed finite element method for cracks
International Journal for Numerical Methods in Engineering - Tập 59 Số 8 - Trang 1119-1136 - 2004
#extended finite element #mesh superposition #crack
The mixed finite element method applied to two‐dimensional elastic contact problemsAbstract The application of the mixed finite element method to two‐dimensional elastic contact problems is investigated. Since in the mixed method, both displacements and stresses are retained as variables, it is found that all the contact conditions—displacement as well as stress—can be approximated directly. A significant novelty is that some of the displacement v... ... hiện toàn bộ
International Journal for Numerical Methods in Engineering - Tập 17 Số 7 - Trang 991-1014 - 1981
A return mapping algorithm for isotropic elastoplasticityAbstract A return mapping algorithm is presented for the numerical time integration of the constitutive equations for elastoplasticity with isotropic yield surfaces, constructed from all three invariants of the stress tensor. Based on the first‐order backward Euler difference formula (BDF), the governing equations for the stresses are solved in the space of the inva... ... hiện toàn bộ
International Journal for Numerical Methods in Engineering - Tập 37 Số 5 - Trang 813-826 - 1994
A method for multiple crack growth in brittle materials without remeshingAbstract A method for modelling the growth of multiple cracks in linear elastic media is presented. Both homogeneous and inhomogeneous materials are considered. The method uses the extended finite element method for arbitrary discontinuities and does not require remeshing as the cracks grow; the method also treats the junction of cracks. The crack geometries are arb... ... hiện toàn bộ
International Journal for Numerical Methods in Engineering - Tập 61 Số 10 - Trang 1741-1770 - 2004
A new crack tip element for the phantom‐node method with arbitrary cohesive cracksAbstract We have developed a new crack tip element for the phantom‐node method. In this method, a crack tip can be placed inside an element. Therefore, cracks can propagate almost independent of the finite element mesh. We developed two different formulations for the three‐node triangular element and four‐node quadrilateral element, respectively. Although this metho... ... hiện toàn bộ
International Journal for Numerical Methods in Engineering - Tập 75 Số 5 - Trang 577-599 - 2008
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichmentAbstract A methodology is developed for switching from a continuum to a discrete discontinuity where the governing partial differential equation loses hyperbolicity. The approach is limited to rate‐independent materials, so that the transition occurs on a set of measure zero. The discrete discontinuity is treated by the extended finite element method (XFEM) whereby ... ... hiện toàn bộ
International Journal for Numerical Methods in Engineering - Tập 58 Số 12 - Trang 1873-1905 - 2003
New crack‐tip elements for XFEM and applications to cohesive cracksAbstract An extended finite element method scheme for a static cohesive crack is developed with a new formulation for elements containing crack tips. This method can treat arbitrary cracks independent of the mesh and crack growth without remeshing. All cracked elements are enriched by the sign function so that no blending of the local partition of unity is required.... ... hiện toàn bộ
International Journal for Numerical Methods in Engineering - Tập 57 Số 15 - Trang 2221-2240 - 2003
Stress computation and consistent tangent operator using non‐linear kinematic hardening modelsAbstract One possibility of formulating the tinite element method is founded on the principle of virtual displacement, in which we want to include a rate‐independent elastoplastic constitutive model based on the assumption of a yield surface. The constitutive equations result from the assumptions of small deformations, Hooke's law for the elastic domain, the normali... ... hiện toàn bộ
International Journal for Numerical Methods in Engineering - Tập 36 Số 22 - Trang 3801-3814 - 1993
A return mapping algorithm for plane stress elastoplasticityAbstract An unconditionally stable algorithm for plane stress elastoplasticity is developed, based upon the notion of elastic predictor‐return mapping (plastic corrector). Enforcement of the consistency condition is shown to reduce to the solution of a simple nonlinear equation. Consistent elastoplastic tangent m... ... hiện toàn bộ
International Journal for Numerical Methods in Engineering - Tập 22 Số 3 - Trang 649-670 - 1986
A return map algorithm for general isotropic elasto/visco‐plastic materials in principal spaceAbstract We describe a methodology for solving the constitutive problem and evaluating the consistent tangent operator for isotropic elasto/visco‐plastic models whose yield function incorporates the third stress invariant . The developments presented are based upon original results, proved in the paper, concerning the derivatives of eigenvalues and eigenprojectors o... ... hiện toàn bộ
International Journal for Numerical Methods in Engineering - Tập 60 Số 2 - Trang 461-498 - 2004
Tổng số: 313
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