Computer implementation of damage models by finite element and meshfree methods

[1]  R. Hill,et al.  XLVI. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. , 1951 .

[2]  D. M. Tracey,et al.  On the ductile enlargement of voids in triaxial stress fields , 1969 .

[3]  Alan Needleman,et al.  A numerical study of necking in circular cylindrical bar , 1972 .

[4]  J. Knott,et al.  Fundamentals of Fracture Mechanics , 2008 .

[5]  J. Rice,et al.  CONDITIONS FOR THE LOCALIZATION OF DEFORMATION IN PRESSURE-SENSITIVE DILATANT MATERIALS , 1975 .

[6]  J. Hancock,et al.  On the mechanisms of ductile failure in high-strength steels subjected to multi-axial stress-states , 1976 .

[7]  D. François,et al.  Variation of fracture toughness of a 7075 aluminium alloy with hydrostatic pressure and relationship with tensile ductility , 1977, International Journal of Fracture.

[8]  A. Gurson.  Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media , 1977 .

[9]  T. Hughes,et al.  Finite rotation effects in numerical integration of rate constitutive equations arising in large‐deformation analysis , 1980 .

[10]  A. Needleman,et al.  Void Nucleation Effects in Biaxially Stretched Sheets , 1980 .

[11]  V. Tvergaard.  Influence of voids on shear band instabilities under plane strain conditions , 1981 .

[12]  A. Needleman,et al.  Analysis of the cup-cone fracture in a round tensile bar , 1984 .

[13]  John W. Hutchinson,et al.  Constitutive potentials for dilutely voided nonlinear materials , 1984 .

[14]  Michael Ortiz,et al.  A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equations , 1985 .

[15]  Michael Ortiz,et al.  An analysis of a new class of integration algorithms for elastoplastic constitutive relations , 1986 .

[16]  Viggo Tvergaard,et al.  An analysis of ductile rupture modes at a crack tip , 1987 .

[17]  Alan Needleman,et al.  Void growth and coalescence in porous plastic solids , 1988 .

[18]  R. Becker,et al.  The effect of void shape on void growth and ductility in axisymmetric tension tests , 1989 .

[19]  Viggo Tvergaard,et al.  Cavitation instabilities in elastic-plastic solids , 1991 .

[20]  Yan Zhang,et al.  Multiple scale finite element methods , 1991 .

[21]  Pierre Suquet,et al.  The constitutive law of nonlinear viscous and porous materials , 1992 .

[22]  Ted Belytschko,et al.  A stochastic damage model for the rupture prediction of a multi-phase solid , 1992 .

[23]  Ted Belytschko,et al.  A stochastic damage model for the rupture prediction of a multi-phase solid , 1992 .

[24]  Ted Belytschko,et al.  Elastic interactions of a fatigue crack with a micro-defect by the mixed boundary integral equation method , 1993 .

[25]  Wing Kam Liu,et al.  Reproducing kernel and wavelet particle methods , 1993 .

[26]  R. A. Uras,et al.  Multiresolution reproducing kernel particle methods in acoustic problems , 1995 .

[27]  C. Shih,et al.  Ductile crack growth-I. A numerical study using computational cells with microstructurally-based length scales , 1995 .

[28]  R. A. Uras,et al.  Enrichment of the Finite Element Method With the Reproducing Kernel Particle Method , 1995 .

[29]  Wing Kam Liu,et al.  Reproducing kernel particle methods , 1995 .

[30]  Wing Kam Liu,et al.  Wavelet and multiple scale reproducing kernel methods , 1995 .

[31]  Wing Kam Liu,et al.  Reproducing kernel particle methods for structural dynamics , 1995 .

[32]  Ted Belytschko,et al.  Overview and applications of the reproducing Kernel Particle methods , 1996 .

[33]  Wing Kam Liu,et al.  Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures , 1996 .

[34]  R. A. Uras,et al.  Generalized multiple scale reproducing kernel particle methods , 1996 .

[35]  Mark A Fleming,et al.  Meshless methods: An overview and recent developments , 1996 .

[36]  Claudio Ruggieri,et al.  Numerical modeling of ductile crack growth in 3-D using computational cell elements , 1996 .

[37]  Ted Belytschko,et al.  Advances in multiple scale kernel particle methods , 1996 .

[38]  Wing Kam Liu,et al.  Moving least-square reproducing kernel method Part II: Fourier analysis , 1996 .

[39]  Jonas Faleskog,et al.  Micromechanics of coalescence—I. Synergistic effects of elasticity, plastic yielding and multi-size-scale voids , 1997 .

[40]  W. Brocks,et al.  The Gurson-Tvergaard-Needleman-model for rate and temperature-dependent materials with isotropic and kinematic hardening , 1997 .

[41]  R. A. Uras,et al.  Multiresolution reproducing kernel particle methods in acoustics , 1996 .

[42]  Li,et al.  Moving least-square reproducing kernel methods (I) Methodology and convergence , 1997 .

[43]  Ted Belytschko,et al.  Explicit Reproducing Kernel Particle Methods for large deformation problems , 1998 .

[44]  S. Li,et al.  Synchronized reproducing kernel interpolant via multiple wavelet expansion , 1998 .

[45]  Wing Kam Liu,et al.  Implementation of boundary conditions for meshless methods , 1998 .

[46]  Shaofan Li,et al.  Reproducing kernel hierarchical partition of unity, Part I—formulation and theory , 1999 .

[47]  Shaofan Li,et al.  Reproducing kernel hierarchical partition of unity, Part II—applications , 1999 .