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Variational Formulation, Discrete Conservation Laws, and Path-Domain Independent Integrals for Elasto-Viscoplasticity
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A discrete variational formulation of plasticity and viscoplasticity is developed based on the principle of maximum plastic dissipation. It is shown that the Euler-Lagrange equations (spatial ...
On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part I
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The dynamic response of a flexible beam subject to large overall motions is traditionally formulated relative to a floating frame, sometimes referred to as the shadow beam . This type of ...
On the Dynamics of Flexible Beams Under Large Overall Motions—The Plane Case: Part II
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The numerical treatment of the methodology proposed in Part I of this paper is considered in detail. Unlike traditional approaches, a Galerkin spatial discretization of the equations of motion, ...
On the Variational Foundations of Assumed Strain Methods
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: So-called assumed strain methods are based on the a-priori assumption of an interpolation for the discrete gradient operator, not necessarily derivable from the displacement interpolation. It is ...
The Analysis of Multilayer Elastomeric Bearings
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: When a multilayer elastomeric bearing is sheared by end loads, the top and bottom surfaces of a typical plate are subjected to a shear stress distribution which causes bending of the plate. ...