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Titlebook: Engineering Elasticity; Elasticity with less Humphrey Hardy Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive

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书目名称Engineering Elasticity
副标题Elasticity with less
编辑Humphrey Hardy
视频video
概述Explains ably simulation of materials undergoing large deformations.Illustrates a simpler mathematical base to build thermodynamic and viscoelastic theories.Describes how experimenters can make better
图书封面Titlebook: Engineering Elasticity; Elasticity with less Humphrey Hardy Textbook 2022 The Editor(s) (if applicable) and The Author(s), under exclusive
描述This textbook aimed at upper-level undergraduate and graduate engineering students who need to describe the large deformation of elastic materials like soft plastics, rubber, and biological materials.  The classical approaches to finite deformations of elastic materials describe a dozen or more measures of stress and strain.  These classical approaches require an in-depth knowledge of tensor analysis and provide little instruction as to how to relate the derived equations to the materials to be described.  This text, by contrast, introduces only one strain measure and one stress measure.  No tensor analysis is required.  The theory is applied by showing how to measure material properties and to perform computer simulations for both isotropic and anisotropic materials.  The theory can be covered in one chapter for students familiar with Euler-Lagrange techniques, but is also introduced more slowly in several chapters for students not familiar with these techniques.  The connection to linear elasticity is provided along with a comparison of this approach to classical elasticity.
出版日期Textbook 2022
关键词Finite Elasticity; Non-Linear Solid Mechanics; Continuum Mechanics; Rubber Elasticity; Finite Deformatio
版次1
doihttps://doi.org/10.1007/978-3-031-09157-5
isbn_softcover978-3-031-09159-9
isbn_ebook978-3-031-09157-5
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Plot Deformation, Displacements, and Forces,en with examples. For linear elastic stress and strain, the major and minor axes of an ellipse are sufficient, but for finite deformations an additional orientation of the axes of an ellipse to each other is needed.
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Classical Finite Elasticity,n used in this text are compared to the many definitions of stress and strain used in classical finite elasticity. The invariants in this text are compared to the invariants defined in classical finite elasticity. The equation of motion in this text is compared to the equations of motion found in cl
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https://doi.org/10.1007/978-1-4757-0040-4he equations of motion. The applications are as follows: A single tetrahedron study of how different energy functions produce different force-deformation results; a cylindrical compression test to verify that the multi-grid simulations give the same results as the single tetrahedron study; a "real c
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