Transient Dynamic Response of Elastoplastic Thick Plates Resting on Winkler-Type Foundation

A direct domain/boundary element method (D/BEM) for the dynamicanalysis of elastoplastic thick plates resting on Winkler-typefoundation is presented. The formulation presented includes the effectsof shear deformation and rotatory inertia following Reissner–Mindlin'sdeformation theory assumption. The method employs the elastostaticfundamental solution of the problem resulting in both boundary anddomain integrals due to inertia, plasticity and foundation pressureterms. By discretizing the integral equations and integrating theresulting matrix equation of motion by an explicit time integrationscheme the history of the plate dynamic response can be obtained.Applications are shown for impacted elastoplastic Reissner–Mindlinplates with smooth boundaries on several different foundations.     

Creep analysis of V-notched metallic plates: boundary element method

Application of the domain boundary element method is made to the creep analysis of two-dimensional viscoplastic structures containing V-notches under plane stress. Stress and strain distributions are obtained for tensile specimens with a single edge notch. The formulation assumes small-strain and small-rotation for a viscoplastic medium. The combined creep-plasticity constitutive model of Hart is used. Numerical examples are solved for different load histories.     

Boundary element approach to creep deformation of edge notched and cracked specimens

A direct formulation of the boundary element method using a complex variable numerical approach is presented for the time-dependent inelastic stresses in edge notched and cracked creeping metallic structural components subject to high temperature gradients. Particular attention is focused on the numerical evaluation of energy rate contour integrals in single edge cracked specimens in tension. The constitutive models used in the numerical calculation are internal state variable creep–plasticity or elastic power law creep model. Numerical results are compared with solution obtained from other methods for different loading rates.