The authors cover the fundamentals of linear theory of finite elements from both the mathematical and physical viewpoint, with an emphasis on error estimation and adaptive methods for reducing error estimations for better reliability. The p and hp versions used by aerospace companies, and now becoming common throughout industry in all stress analysis programs, are also described.
Mathematical Models and Engineering Decisions.
Generalized Solutions Based on the Principle of Virtual Work.
Finite Element Discretizations in One Dimension.
Extensions and Their Convergence Rates in One Dimension.
Two-Dimensional Linear Elastostatic Problems.
Element-Level Basis Functions in Two Dimensions.
Computation of Stiffness Matrices and Load Vectors for Two Dimensional Elastostatic Problems.
Potential Flow Problems.
Assembly, Constraint Enforcement, and Solution.
Extensions and Their Convergence Rates in Two Dimensions.
Computation of Displacements, Stresses and Stress Resultants.
Computation of the Coefficients of Asymptotic Expansions.
Three-Dimensional Linear Elastostatic Problems.
Models for Plates and Shells.
Estimation and Control of Errors of Discretization.
Series: Wiley Series in Computational Mechanics
Number Of Pages: 384
Published: 12th April 1991
Publisher: John Wiley & Sons Inc
Country of Publication: US
Dimensions (cm): 24.1 x 16.1
Edition Number: 1