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Equivalence of Finite Elements for Nearly Incompressible Elasticity
Publisher: The American Society of Mechanical Engineers (ASME)
Finite Elements Based Upon Mindlin Plate Theory With Particular Reference to the Four-Node Bilinear Isoparametric Element
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Concepts useful for the development of Mindlin plate elements are explored. Interpolatory schemes and nodal patterns which are ideal according to the proposed criteria are found to be somewhat ...
Finite-Element Solution of Elastic-Plastic Boundary-Value Problems
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: It is demonstrated that elastic-plastic failure states may be captured in finite-element models by employing (1) the elastic-plastic material stiffness to form the global stiffness, (2) reduced/selective ...
Implicit-Explicit Finite Elements in Transient Analysis: Stability Theory
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A stability analysis is carried out for a new family of implicit-explicit finite-element algorithms. The analysis shows that unconditional stability may be achieved for the implicit finite elements ...
Implicit-Explicit Finite Elements in Transient Analysis: Implementation and Numerical Examples
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Computer implementation aspects and numerical evaluation of a new family of implicit-explicit finite element, transient algorithms are presented. It is shown that the new methods are easily coded, ...
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 ...
Finite-Element Methods for Nonlinear Elastodynamics Which Conserve Energy
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A modification of the trapezoidal rule is presented which results in physically appropriate energy growth characteristics for nonlinear transient analysis. In particular, when external forces are ...
Numerical Methods in Laminar and Turbulent Flows
Publisher: The American Society of Mechanical Engineers (ASME)