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Static and dynamic analysis of plates using finite element and boundary element techniques: a bibliography (1992–1994)

Jaroslav Mackerle
- 01 Jun 1995 - 
- Vol. 20, Iss: 2, pp 139-154
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This article is published in Finite Elements in Analysis and Design.The article was published on 1995-06-01. It has received 8 citations till now. The article focuses on the topics: Boundary knot method & Extended finite element method.

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T-elements: State of the art and future trends

TL;DR: Trefftz-type elements as discussed by the authors are finite elements the internal field of which fulfils the governing differential equations of the problema priori whereas the interelement continuity and the boundary conditions are enforced in an integral weighted residual sense or pointwise.
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An unsymmetric stress formulation for reissner-mindlin plates: a simple and locking-free rectangular element

TL;DR: A mixed-hybrid element derived from a modified Reissner functional and standard bilinear (isoparametric) interpolation for displacement and rotations is assumed whereas local stresses (rather than stress resultants and moments) are explicitly modelled.
Journal ArticleDOI

Finite element linear and nonlinear, static and dynamic analysis of structural elements: a bibliography (1992‐1995)

TL;DR: A bibliographical review of the finite element methods applied for the linear and nonlinear, static and dynamic analyses of basic structural elements from the theoretical as well as practical points of view is given.
Journal ArticleDOI

Free vibration analysis of plate assemblies using the dynamic stiffness method based on the higher order shear deformation theory

TL;DR: In this paper, the free vibration analysis of isotropic plate assemblies using the dynamic stiffness method (DSM) based on the Reddy's higher-order shear deformation theory (HSDT) is presented.
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The R-function method for the free vibration analysis of thin orthotropic plates of arbitrary shape

TL;DR: In this article, free flexural vibrations of homogeneous, thin, orthotropic plates of an arbitrary shape with mixed boundary conditions are studied using the R-function method, which allows one to seek a solution in a form of some formulas called a solution structure.
References
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Book

Vibration of plates

TL;DR: The fundamental equation of classical plate theory can be found in this article, where anisotropic and variable-thickness versions of the classical plates are considered, as well as other considerations.
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EAS‐elements for two‐dimensional, three‐dimensional, plate and shell structures and their equivalence to HR‐elements

TL;DR: The equivalence of certain EAS-elements with Hellinger-Reissner (HR) elements is discussed in this article, where four-node membrane, plate and shell elements and eight-node solid elements are introduced.
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Asymptotic-numerical methods and pade approximants for non-linear elastic structures

TL;DR: In this article, the non-linear branches are sought in the form of asymptotic expansions, and they are determined by solving numerically (FEM) several linear problems with a single stiffness matrix.
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