Energy release rate and stress intensity factor in antiplane elasticity
Tài liệu tham khảo
Bourdin, 2008, The variational approach to fracture, J. Elasticity, 91, 5, 10.1007/s10659-007-9107-3
Brokate, 2004, On crack propagation shapes in elastic bodies, Z. Angew. Math. Phys., 55, 318, 10.1007/s00033-003-3026-3
Bucur, 2002, A duality approach for the boundary variation of Neumann problems, SIAM J. Math. Anal., 34, 460, 10.1137/S0036141002389579
Chambolle, 2010, Revisiting energy release rates in brittle fracture, J. Nonlinear Sci., 20, 395, 10.1007/s00332-010-9061-2
Dal Maso, 2002, A model for the quasi-static growth of brittle fractures: existence and approximation results, Arch. Ration. Mech. Anal., 162, 101, 10.1007/s002050100187
Destuynder, 1981, Sur une interprétation mathématique de lʼintégrale de Rice en théorie de la rupture fragile, Math. Methods Appl. Sci., 3, 70, 10.1002/mma.1670030106
Giaquinta, 1996, Calculus of Variations, vol. I: The Lagrangian Formalism, vol. 310
Griffith, 1920, The phenomena of rupture and flow in solids, Philos. Trans. Roy. Soc. London Ser. A, 221, 163, 10.1098/rsta.1921.0006
Grisvard, 1985, Elliptic Problems in Nonsmooth Domains, vol. 24
Grisvard, 1992, Singularities in Boundary Value Problems, vol. 22
Irwin, 1957, Analysis of stresses and strains near the end of a crack transversing a plate, Trans. ASME J. Appl. Mech., 24, 361, 10.1115/1.4011547
Kato, 1995, Perturbation Theory for Linear Operators, 10.1007/978-3-642-66282-9
Knees, 2008, On the inviscid limit of a model for crack propagation, Math. Models Methods Appl. Sci., 18, 1529, 10.1142/S0218202508003121
Kovtunenko, 2003, Shape sensitivity of curvilinear cracks on interface to non-linear perturbations, Z. Angew. Math. Phys., 54, 410, 10.1007/s00033-003-0143-y
G. Lazzaroni, R. Toader, A model for crack propagation based on viscous approximation, Math. Models Methods Appl. Sci., in press.
Mielke, 2005, Evolution of rate-independent systems, 461
Mumford, 1989, Optimal approximations by piecewise smooth functions and associated variational problems, Comm. Pure Appl. Math., 42, 577, 10.1002/cpa.3160420503