A global model reduction approach for 3D fatigue crack growth with confined plasticity
暂无分享,去创建一个
Anthony Gravouil | Michel Rochette | Florent Galland | E. Malvesin | A. Gravouil | M. Rochette | F. Galland | E. Malvesin
[1] Ahmed K. Noor,et al. Reduced Basis Technique for Nonlinear Analysis of Structures , 1980 .
[2] Thomas W. Sederberg,et al. Free-form deformation of solid geometric models , 1986, SIGGRAPH.
[3] Sylvie Pommier,et al. Incremental model for fatigue crack growth based on a displacement partitioning hypothesis of mode I elastic–plastic displacement fields , 2007 .
[4] T. Rado. The problem of the least area and the problem of Plateau , 1930 .
[5] A. Combescure,et al. A mixed augmented Lagrangian‐extended finite element method for modelling elastic–plastic fatigue crack growth with unilateral contact , 2007 .
[6] J. Chaboche,et al. Mechanics of Solid Materials , 1990 .
[7] Mark Meyer,et al. Intrinsic Parameterizations of Surface Meshes , 2002, Comput. Graph. Forum.
[8] Elías Cueto,et al. On thea priori model reduction: Overview and recent developments , 2006 .
[9] Karen Paula L. Veroy,et al. Reduced-basis methods applied to problems in elasticity : analysis and applications , 2003 .
[10] Ted Belytschko,et al. A finite element method for crack growth without remeshing , 1999 .
[11] D. Chopp,et al. Three‐dimensional non‐planar crack growth by a coupled extended finite element and fast marching method , 2008 .
[12] Ted Belytschko,et al. THE ELEMENT FREE GALERKIN METHOD FOR DYNAMIC PROPAGATION OF ARBITRARY 3-D CRACKS , 1999 .
[13] Brian Moran,et al. Crack tip and associated domain integrals from momentum and energy balance , 1987 .
[14] Ulrich Pinkall,et al. Computing Discrete Minimal Surfaces and Their Conjugates , 1993, Exp. Math..
[15] Yalin Wang,et al. Volumetric Harmonic Map , 2003, Commun. Inf. Syst..
[16] Marie-Christine Baietto,et al. A two-scale extended finite element method for modelling 3D crack growth with interfacial contact , 2010 .
[17] F. Blom. Considerations on the spring analogy , 2000 .
[18] C Bathias,et al. LA FATIGUE DES MATERIAUX ET DES STRUCTURES , 1980 .
[19] Anthony T. Patera,et al. Reduced basis approximation and a posteriori error estimation for stress intensity factors , 2007 .
[20] Marc Bonnet,et al. Computation of energy release rate using material differentiation of elastic BIE for 3-D elastic fracture , 1995 .
[21] O. E. Wheeler. Spectrum Loading and Crack Growth , 1972 .
[22] James C. Newman. FASTRAN-2: A fatigue crack growth structural analysis program , 1992 .
[23] J. Marsden,et al. Dimensional model reduction in non‐linear finite element dynamics of solids and structures , 2001 .
[24] James C. Newman,et al. The Merging of Fatigue and Fracture Mechanics Concepts: A Historical Perspective , 1998 .
[25] T. Belytschko,et al. Non‐planar 3D crack growth by the extended finite element and level sets—Part I: Mechanical model , 2002 .
[26] Marc Alexa,et al. Recent Advances in Mesh Morphing , 2002, Comput. Graph. Forum.
[27] M. H. Aliabadi,et al. THREE-DIMENSIONAL CRACK GROWTH SIMULATION USING BEM , 1994 .
[28] J. C. Simo,et al. An augmented lagrangian treatment of contact problems involving friction , 1992 .
[29] Stéphane Roux,et al. Three dimensional experimental and numerical multiscale analysis of a fatigue crack , 2010 .
[30] D. Ryckelynck,et al. A priori hyperreduction method: an adaptive approach , 2005 .
[31] T. Belytschko,et al. Element‐free Galerkin methods , 1994 .
[32] B. Moran,et al. An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions , 2002 .
[33] P. Ladevèze,et al. The LATIN multiscale computational method and the Proper Generalized Decomposition , 2010 .
[34] Johann Rannou,et al. A local multigrid X‐FEM strategy for 3‐D crack propagation , 2009 .
[35] Sylvie Pommier,et al. Variable amplitude fatigue crack growth, experimental results and modeling , 2007 .
[36] J. Douglas. Solution of the problem of Plateau , 1931 .
[37] Charbel Farhat,et al. A three-dimensional torsional spring analogy method for unstructured dynamic meshes , 2002 .
[38] Sylvie Pommier,et al. Time-derivative equations for fatigue crack growth in metals , 2005 .
[39] Anthony T. Patera,et al. A Priori Convergence Theory for Reduced-Basis Approximations of Single-Parameter Elliptic Partial Differential Equations , 2002, J. Sci. Comput..
[40] R. Barsoum. Triangular quarter‐point elements as elastic and perfectly‐plastic crack tip elements , 1977 .
[41] D. S. Dugdale. Yielding of steel sheets containing slits , 1960 .
[42] J. Willenborg,et al. A Crack Growth Retardation Model Using an Effective Stress Concept , 1971 .
[43] Nicolas Moës,et al. A stable Lagrange multiplier space for stiff interface conditions within the extended finite element method , 2009 .
[44] F. Chinesta,et al. An efficient ‘a priori’ model reduction for boundary element models , 2005 .
[45] I. Babuska,et al. The generalized finite element method , 2001 .
[46] David Ryckelynck. Hyper‐reduction of mechanical models involving internal variables , 2009 .
[47] G. Reddien,et al. On the reduced basis method , 1995 .