Strength of Materials
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In this chapter, we apply the finite-element method to problems in the strength of materials. The main aim is to counter as far as possible a certain state of confusion that often arises in the minds of MSc and engineering students. Indeed, experience shows that the finite-element method often looks radically different when presented as part of a standard numerical analysis course or when introduced in a course on the mechanics of materials, frequently causing unjustified confusion in the minds of otherwise diligent students. So the motivation behind the following account is to eliminate once and for all any doubt that might remain among newcomers to this area, by showing that all applications of the finite-element method have the same foundation and the same form, especially since the method itself takes its roots in the mechanics of deformable media.
KeywordsNumerical Analysis Courses Approximating Minimization Problems Global Matrix Hermite Finite Element Continuous Problem (CP)
- 1.H. Brézis, Analyse Fonctionnelle, Théorie et Applications (Masson, Paris, 1983)Google Scholar