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A Complementary Work Bounding Principle for Forward Integration Along the Path of Loading for Elasto-Plastic Bodies
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The paper presents an extension of the complementary work bounding principle of Hodge (1966) for integration along the path of loading for a statically loaded elastic-plastic body. Using an ...
A Note on the Uniqueness of Solutions for Dynamically Loaded Rigid-Plastic and Rigid-Viscoplastic Continua
Publisher: The American Society of Mechanical Engineers (ASME)
A Note on the Determination of an Upper Bound on Displacement Rates for Steady Creep Problems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A method is described whereby the displacement rate at any point on the surface of a body undergoing steady creep may be bounded from above. The method is restricted to n-power stress-strain ...
A Displacement Bound Principle for Inelastic Continua Subjected to Certain Classes of Dynamic Loading
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The paper presents an inequality relating statically admissible stress fields and kinematically admissible displacement fields for continua composed of inelastic materials which obey a postulated ...
Work Bounding Functions for Plastic Materials
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The minimum work and maximum complementary work potentials for both time-independent and time-dependent plasticity are reconsidered from the viewpoint of internal variable theories. It is shown ...
Deformation Bounds for Bodies in a State of Creep
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Bounds on the energy dissipation and surface displacements are found for bodies undergoing nonlinear creep as a result of step loading. Elastic effects are included in a simple manner, and it ...
Approximate Solutions for Impulsively Loaded Elastic-Plastic Beams
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A unified method of approximating the response of rigid-plastic and elastic, perfectly plastic beams subjected to impulsive loading is described. The method is based on the uniqueness proof for ...
Internal Variable Formulations of Problems in Elastoplasticity: Constitutive and Algorithmic Aspects
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This work surveys a broad range of related issues in quasistatic elastoplasticity, beginning with a development of an internal variable constitutive theory. The initial-boundary value problem is ...