✦ LIBER ✦

A fuzzy arithmetical approach to the solution of finite element problems with uncertain parameters

✍ Scribed by Michael Hanss; Kai Willner

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 710 KB
Volume: 27
Category: Article
ISSN: 0093-6413
DOI: 10.1016/s0093-6413(00)00091-4

No coin nor oath required. For personal study only.

✦ Synopsis

ntroduction Tim finite element method [2] is a well-known and time-tested technique for dew?loping approximate solutions to static or dynamic problems in stress analysis. Using this method, regions with rather complex geometries are discretized into a number of small units, called finite elements. For each of these elements the mathematical equations expressing their slatic or dynamic behavior can be obtained by evaluating some basic mechanical principles, e.g. the d'Alembert's principle. Finally, the combination of the equations for the assembly of the elements leads to a more or less extended system of linear equations that can be solved by traditional techniques.

📜 SIMILAR VOLUMES

A new approach for the stochastic analys

A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters

✍ G. Falsone; N. Impollonia 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 679 KB

A method for evaluating the static response of uncertain finite element (FE) discretised structures is presented. The method is comparable with the perturbation procedures from a computational point of view, but it overcomes the drawbacks related to these procedures. In fact the present method gives

A direct approach to the finite element

A direct approach to the finite element solution of elliptic optimal control problems

✍ Dan Givoli 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 384 KB 👁 3 views

A general framework is developed for the finite element solution of optimal control problems governed by elliptic nonlinear partial differential equations. Typical applications are steady-state problems in nonlinear continuum mechanics, where a certain property of the solution (a function of displac

A linear finite element approach to the

A linear finite element approach to the solution of the variational inequalities arising in contact problems of structural dynamics

✍ D. Talaslidis; P. D. Panagiotopoulos 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 783 KB

## Abstract The present paper deals with the theoretical and numerical treatment of dynamic unilateral problems. The governing equations are formulated as an equivalent variational inequality expressing D' Alembert's principle in its inequality form. The discretization with respect to time and spac

Algebraic approach to the solution of th

Algebraic approach to the solution of the relaxation problem with a non-conserved order parameter

✍ A.F. Izmailov; K. Levon; A. Margolina 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 309 KB

Erratum to “A new approach for the stoch

Erratum to “A new approach for the stochastic analysis of finite element modelled structures with uncertain parameters” [Comput. Methods Appl. Mech. Engrg. 191 (2002) 5067–5085]

✍ G. Falsone; N. Impollonia 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 62 KB

A VELOCITY BASED APPROACH INCLUDING ACCE

A VELOCITY BASED APPROACH INCLUDING ACCELERATION TO THE FINITE ELEMENT COMPUTATION OF VISCOPLASTIC PROBLEMS

✍ N. MOLE; J. L. CHENOT; L. FOURMENT 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 845 KB

We present a velocity based approach including acceleration to the finite element computation of metal forming problems, based on the viscoplastic Norton-Hoff law. In order to reduce computational cost, we suggest substituting the classical solution procedure based on standard Newton-Raphson method