Numerical computation of dynamic stress intensity factors by a Lagrangian finite-difference method (the HEMP code)

Westergaard, 1939, Bearing pressures and cracks, J. Appl. Mech., Trans. ASME, 61, A Sneddon, 1946, The distribution of stress in the neighborhood of a crack in an elastic solid, 189, 229 Irwin, 1957, Analysis of stresses and strains near the end of a crack traversing a plate, J. appl. Mech., Trans. ASME, 24, 361, 10.1115/1.4011547 Williams, 1957, On the stress distribution at the base of a stationary crack, J. appl. Mech., Trans. ASME, 24, 109, 10.1115/1.4011454 Kostrov, 1964, Motion of a rigid strip-mass soldered into an elastic medium, excited by a plane wave, J. Appl. Math. Mech., 28, 113, 10.1016/0021-8928(64)90136-4 Loeber, 1968, Diffraction of antiplane shear waves by a finite crack, J. Acoust. Soc. Amer., 44, 90, 10.1121/1.1911091 Sih, 1969, Wave propagation in an elastic solid with a line of discontinuity or finite crack, Q. Appl. Math., 27, 193, 10.1090/qam/99830 Eshelby, 1969, The elastic field of a crack extending nonuniformly under general anti-plane loading, J. Mech. Phys. Solids, 17, 177, 10.1016/0022-5096(69)90032-5 Achenbach, 1970, Crack propagation generated by a horizontally polarized shear wave, J. Mech. Phys. Solids, 18, 245, 10.1016/0022-5096(70)90006-2 Achenbach, 1970, Brittle and ductile extension of a finite crack by a horizontally polarized shear wave, Int. J. Engng Sci., 8, 947, 10.1016/0020-7225(70)90078-9 Mal, 1970, Interaction of elastic waves with a penny-shaped crack, Int. J. Engng Sci., 8, 381, 10.1016/0020-7225(70)90075-3 Mal, 1970, Interaction of elastic waves with a Griffith crack, Int. J. Engng Sci., 8, 763, 10.1016/0020-7225(70)90003-0 Thau, 1971, Transient stress intensity factors for a finite crack in an elastic solid caused by a dilatational wave, Int. J. Solids Structures, 7, 731, 10.1016/0020-7683(71)90090-4 Embley, 1971, Response of a penny shaped crack to impact waves Sih, 1972, Impact response of a finite crack in plane extension, Int. J. Solids Structures, 8, 977, 10.1016/0020-7683(72)90010-8 Kobayashi, 1969, Application of finite element analysis method to two-dimensional problems in fracture mechanics, ASME Paper No. 69-WA/PVP-12 Chan, 1970, On the finite element method in linear fracture mechanics, Engng Fracture Mech., 2, 1, 10.1016/0013-7944(70)90026-3 Marcal, 1972, Three-dimensional finite element analysis for fracture mechanics Hilton, 1973, Application of the finite element method to the calculation of stress intensity factors, 426 Wilson, 1973, Finite element methods for elastic bodies containing cracks, 484 Wu, 1971, Finite element analysis of large elastic-plastic transient deformations of simple structures, AIAA J., 9, 1719, 10.2514/3.6421 McNamara, 1971, Incremental stiffness method for finite element analysis of the nonlinear dynamic problem Hartzman, 1972, Nonlinear dynamics of solids by the finite element methods, Comp. Struct., 2, 47, 10.1016/0045-7949(72)90022-3 Richtmyer, 1967 Wilkins, 1964, Calculation of elastic-plastic flow, Vol. 3, 211 Wilkins, 1969, Calculation of Elastic-Plastic Flow, 1 1969, 408 Wilkins, 1971, Finite difference scheme for calculating problems in three space dimensions and time, Vol. 8, 30, 10.1007/3-540-05407-3_4 Wilkins, 1974, A Method for Computer Simulation of Problems in Solid Mechanics and Gas Dynamics in Three Dimensions and Time, 10.2172/4276327 Fung, 1965 Cruse, 1972, Numerical evaluation of elastic stress intensity factors by the boundary-integral equation method Kobayashi, 1964, A numerical procedure for estimating the stress intensity factor of a crack in a finite plate, J. Bas. Engng, Trans. ASME, Ser. D, 86, 681, 10.1115/1.3655920 Baker, 1962, Dynamic stresses created by a moving crack, J. appl. Mech., 29, 449, 10.1115/1.3640588 Benthem, 1973, Asymptotic approximations of crack problems, 131