Journal ArticleDOI
Convenient generation of stiffness matrices for the family of plane triangular elements
TLDR
A simple and convenient way to generate stiffness matrices in closed-form for all members of the family of plane triangular elements is presented in this article, where numerical integration is completely avoided.About:
This article is published in Computers & Structures.The article was published on 1982-01-01. It has received 23 citations till now. The article focuses on the topics: Plane (geometry) & Simple (abstract algebra).read more
Citations
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Analysis and behavior of grid structures
TL;DR: In this paper, a model of grid structure deformation and failure was developed and implemented in a computer code, and parametric studies were run on a variety of grid structures types and geometries.
Journal ArticleDOI
Symbolic computation in structural engineering
TL;DR: A picture emerges where areas of classical analysis––increasingly neglected since the advent of computers––now re-emerge as attractive computational options, as well as a more balanced view that no longer sees analytical techniques and numerical methods as incompatible opposites but combines their usage in a rational way.
Journal ArticleDOI
Closed-form stiffness matrices for the linear strain and quadratic strain tetrahedron finite elements
TL;DR: In this paper, the development of closed-form representations of element stiffness matrices and the equivalent nodal loads for the linear strain and quadratic strain straight edge tetrahedral elements are presented.
Journal ArticleDOI
Closed form stiffness matrices and error estimators for plane hierarchic triangular elements
TL;DR: In this paper, closed form expressions for the stiffness matrix and a simple error estimator and error indicator are derived for plane straight sided triangular finite elements in elasticity problems and evaluated using explicit formulations.
Journal ArticleDOI
Closed-form stiffness matrices for higher order tetrahedral finite elements
TL;DR: The development of closed-form stiffness matrices is extended to the next level of approximation, the subparametric p-level 4 element, and it is found that the compilers used could better optimize the code with closed form generated expressions for efficient execution when compared to the code for numerical integration.
References
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Journal ArticleDOI
Explicit stiffness matrix of the linearly varying strain triangular element
K. Moser,G. Swoboda +1 more
TL;DR: In this paper, an explicit stiffness matrix for a linearly varying strain triangular element is derived, and it is suggested that this new stiffness matrix is compotationaly efficient to use.
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