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Structural analysis with the finite element method. Linear statics. Volume 1: Basis and solids. (English) Zbl 1168.74003
Lecture Notes on Numerical Methods in Engineering and Sciences 1. Dordrecht: Springer; Barcelona: International Center for Numerical Methods in Engineering (CIMNE) (ISBN 978-1-4020-8732-5/hbk; 978-90-481-7971-8/pbk; 978-1-4020-8733-2/ebook). xxvi, 472 p. (2009).
This two-volume book presents the results of the author’s experience in teaching and research on the finite element method (FEM). The content of the book develops the theory and practical implementation of the FEM for application to linear structural problems. In the first volume, the FEM is described to solve linear elastic problems for solids. The second volume extends the method to solve beam, plate and shell structures. The style of presentation allows the reader to fully comprehend the fundamental steps in a finite element solution process. The book starts with one-dimensional problems and builds systematically through two- and three-dimensional applications for solids. The first nine chapters present in detail the theory, including the required steps to approximate element variables by isoparametric shape functions. The first volume concludes with a chapter on mesh generation and visualization, and a chapter on programming the FEM.

MSC:
74-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids
74S05 Finite element methods applied to problems in solid mechanics
Software:
MAT-fem
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