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RISAn Upper Bound on the Small Displacements of Elastic, Perfectly Plastic Structures
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An inequality is described which allows the evaluation of upper bounds to the displacement of an elastic/perfectly plastic structure subject to variable loading. Simple examples indicate that ...
Deformation, Displacement, and Work Bounds for Structures in a State of Creep and Subject to Variable Loading
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: General bounds on the deformation of a structure in a state of creep are derived for an elastic/perfectly plastic/time-hardening creep material, and subject to an arbitrary history of loading. ...
Deformation Bounds for the Bailey-Orowan Theory of Creep
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In two recent papers [1, 2] constitutive relationships were described which were based upon a theory of creep originally postulated by Bailey [3] and Orowan [4] and which has been subjected ...
On the Stress Analysis of Creeping Structures Subject to Variable Loading
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In earlier papers [13, 14] displacement and deformation bounds were derived for a structure composed of an elastic, perfectly plastic, time-hardening viscous material. Here the upper and lower ...
General Bounding Theorems for the Quasi-Static Deformation of a Body of Inelastic Material, With Applications to Metallic Creep
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: General displacement and work bounds are derived for the small-deflection quasi-static deformation of a body composed of a material which exhibits both elastic and inelastic strains. The bounds ...
Constitutive Relationships for the Time-Dependent Deformation of Metals
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The paper discusses the constitutive relations for the inelastic deformation of a polycrystalline metal at high temperature. Commencing from a description of a dislocation structure in terms of ...
A Theoretical and Experimental Investigation of Creep Problems With Variable Temperature
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Rapid cycling solutions are presented for a simple two-bar structure subjected to variable temperature. Three constitutive relationships are considered, nonlinear viscous, strain-hardening and ...
Deformation Bounds for Bodies Which Creep in the Plastic Range
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Previous results on bounding the energy dissipation of bodies which creep have been extended to include plastic deformations. The theorems, which are derived, show that previous results can be ...
An Extended Shakedown Theory for Structures That Suffer Cyclic Thermal Loading, Part 2: Applications
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In an accompanying paper an extended shakedown theory was described for structures subjected to constant mechanical loads and cyclically varying thermal loads, a circumstance of interest in Fast ...
An Extended Shakedown Theory for Structures That Suffer Cyclic Thermal Loading, Part 1: Theory
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The paper describes an extension of classical shakedown theory for structural problems involving constant mechanical loads and cyclic variations in temperature. The objective of the theory is to ...