Original Formulation of the Finite Element Method
Following a brief summary of the 1952 state of the art of structural analysis, the paper describes the circumstances that led to the formulation of the finite element method by members...
Major Advances in Finite Element Model Technology
The evolution of finite elements is traced from the viewpoint of finite element shape functions and element-related techniques. Particular emphasis is placed on the isoparametric element,...
Numerical Methods for Solution of Finite Element Systems
A personal summary of solution methods for the static and dynamic analysis of finite element systems, which have been developed during the past 30 years, will be given. Numerical techniques...
Structural Computing in Engineering Practice
Since its emergence some thirty years ago, finite element technology has penetrated a significant part of the structural engineering profession. It serves as a most graphic illustration...
Extensions of Finite Element Technology for Automated Design
The finite element method, by itself, is an efficient analysis tool with which we can judge the quality of a proposed design. However, by coupling finite element analysis with numerical...
Getting Finite Element Programs to Reason About Their Analysis Assumptions
Despite the spectacular improvements of finite element analysis programs, there has been no corresponding progress in the development of physical modeling and interpretation aids. The...
Representation of Strategic Choices in Structural Modeling
A major concern in structural modeling is the proper choice of tools to achieve stated objectives. Problem statements in structural analysis and design are usually made in fairly abstract...
Object-Oriented Design of Finite Element Programs
This paper describes an implementation of the finite element method based on computational abstractions of both mathematical and engineering concepts. In contrast with conventional approaches,...
A Family of Concurrent Algorithms for Transient Finite Element Solutions
We derive a family of methods for solving the equations of motion arising in structural dynamics which makes effective use of the architecture of concurrent computers. The algorithm is...
A Portable Parallel Equation Solver for Finite-Element Based Structural Analysis-Synthesis Codes
Substructuring formulation using adjoint variable approach has been developed for design sensitivity analysis and optimizations of large scale structures. In this paper, a global-local...
Computational Strategies for Finite Element Simulations on Supercomputers with 4 to 65,536 Processors
We present a general approach to the design of next generation finite element software. We describe several parallel computational strategies for both implicit and explicit computations,...
Finite Element Computations on a Linear Systolic Array
This paper describes a linear systolic architecture designed specifically for finite element computations. Examples of various sparse matrix and vector operations are given. Applications...
Parallel Computations for Automated Finite Element Modeling
This paper discusses initial efforts to combine an automatic mesh generator and element by element solution approaches to produce efficient parallel computational procedures on adaptively,...
Nonlinear Structural Analysis by Complementary Energy Minimization
New analysis methods for truss and continuous beam considering material nonlinearity are developed on the basis of the principle of minimum complementary energy and mathematical programming...
Shape Optimization of Joints of Steel-Framed Diaphragm Wall
Shape optimization system of the joints of the steel-framed diaphragm wall (abbreviated as steel diaphragm wall) is discussed. The optimization problem is formulated as the minimum cost...
Modeling of Plate and Shell Structures with
Finite element models for the analysis of plates and shells, based on the concept of hp-extension are presented. A methodology for the control and analysis of the error of the finite element...
Plates and Shells with Crack-Like Flaws
The formulation of new hierarchial finite elements for the analysis of laminated plates and shells in the presence of flaws are discussed. The performance of the elements is evaluated...
p-Version of FEM and Shape Optimal Design
This paper presents some research results obtained recently in using the p-version of the finite element method (FEM) for shape optimal design. It is shown that the p-version 2-D elastic...
Stress Computations for Nearly Incompressible Materials
Computation of stresses by the finite element method (FEM) in the case of nearly incompressible isotropic elastic materials is discussed. It is shown that for moderately high Poisson's...
Experience with the p-Version Program PROBE
The conventional approach in the FEM is known as the h-version, in which the solution accuracy depends on the size h of elements. The alternative approach is the p-version, in which the...
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