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Article
Sparse algorithms for indefinite system of linear equations
Sparse LDLT algorithms, based upon mixed forward-backward factorization strategies, are developed for direct solution of indefinite system of linear equations. A simple rotation matrix is also introduced and inc...
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Article
An object-oriented database management system for computer-aided design of tall buildings
An effective database and database management system is the key to the success of an integrated approach to software engineering applications in general, and Computer-Aided Design (CAD) for structural applicat...
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Chapter and Conference Paper
Parallel Non-linear Analysis of Laminated Rubber Structures
General purpose finite element codes have been widely used for both linear and non-linear structural problems. Many of the real-world problems in structural applications are large in size, and require extensiv...
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Chapter and Conference Paper
Nonlinear Deformation Responses of Rubber Components by Finite Element Analysis
Typically, rubber under the influence of mechanical loads exhibits strong nonlinear behavior due to both material and geometrical nonlinearities. Structural analysis of such material via finite element method ...
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Article
On symbolic manipulation and code generation of a hybrid three-dimensional solid element
A symbolic procedure is utilized to derive the analytical expressions of the component matrices resulting to the closed-form integration of a stiffness matrix of a hybrid finite element. In order to alleviate ...
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Article
Large strain analysis of rubber-like materials based on a perturbed Lagrangian variational principle
A mixed finite element method is presented for the large strain analysis of rubber-like materials, which are considered to be nearly incompressible. Two types of constitutive relations are included: generalize...
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Chapter and Conference Paper
Code generation and optimization for finite element analysis
The design and implementation of a software system for automatically generating code for finite element analysis are described. Exact symbolic computational techniques are employed to derive strain-displacemen...