# Applied elasticity: matrix and tensor analysis of elastic continua

 Downloads 11495 File size 601.45 Kb. Date added 2016-11-13 Price Free (Registration required) Author J D Renton Language English ISBN 9780857099587 0857099582 Genre Electronic books Available formats PDF, fb2, ePub, mobi, RTF, Doc, txt, LRF, AZW, DJVU

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Elasticity and Continuum Mechanics Texts in Rutgers Libraries last updated Jan 2011 (A.J. Nagy/ A. N. Norris [email protected] Elasticity texts: General 1. Mathematical theory of elasticity, I. S. Sokolnikoff, New York, McGraw-Hill, 1956.

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### Applications to Continuum Mechanics | …

Abstract. The deformation gradient F represents an invertible second-order tensor generally permitting a unique polar decomposition by $$\mathbf{F} = \mathbf{R}\mathbf{U} = \mathbf{v}\mathbf{R},$$ where R is an orthogonal tensor while U and v are symmetric tensors. In continuum mechanics, R is called rotation tensor while U and v are referred to as the right and left stretch tensor, respectively.

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Applied Elasticity : Matrix and Tensor Analysis of Elastic Continua. Also Titled. ProQuest Ebook Central. Author. Renton, J D. Edition. 2nd ed. Published. Cambridge : Elsevier Science, 2002. Medium [electronic resource] Physical Description. 1 online resource (212 p.) Series. Woodhead Publishing Series in Civil and Structural Engineering.

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This book provides comprehensive reviews of recent progress in matrix variate and tensor variate data analysis from applied points of view. Matrix and tensor approaches for data analysis are known to be extremely useful for recently emerging complex and high-dimensional data in various applied fields.

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There is a large gap between engineering courses in tensor algebra on one hand, and the treatment of linear transformations within classical linear algebra on the other. This book addresses primarily engineering students with some initial knowledge of matrix algebra. Thereby, mathematical formalism is applied as far as it is absolutely necessary.

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Applied elasticity : matrix and tensor analysis of elastic continua. J.D. Renton （Ellis Horwood series in mechanical engineering） E. Horwood , Halsted Press, 1987

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Applied elasticity : matrix and tensor analysis of elastic continua / J.D. Renton ... 1 図書 Applied matrix and tensor analysis. Eisele, John A., Mason, Robert M. ... 10 図書 Elastizität und Plastizität = Elasticity and plasticity. Flügge, Siegfried. Springer-Verlag. 5 ...

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### Introduction to Elasticity/Tensors - Wikiversity

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A second order tensor is a linear operator that sends vectors to vectors. According to Simmonds, "the name tensor comes from elasticity theory where in a loaded elastic body the stress tensor acting on a unit vector normal to a plane through a point delivers the tension (i.e., the force per unit area) acting across the plane at that point."