Titlebook: Hyperelasticity Primer; Robert M. Hackett Textbook 2018Latest edition Springer International Publishing AG, part of Springer Nature 2018 1

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Incrementation: Part One, algorithms wherewith solutions to increments of the solution variables, i.e., deformation gradient, strain and stress, are obtained. Typically, at each point in time where the incremental values are obtained, they are added to the previously accumulated values of the corresponding variables, thus y

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Incrementation: Part Two,ad to results that differ very much from exact solutions. Incremental formulations for both Green-Lagrange and Almansi strain are given, based upon their corresponding rate equations. Incremental Green-Lagrange and Almansi deviatoric strain expressions are determined, also based upon their correspon

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Incrementation: Part Three,or and the right and left stretches are given. From this, the expression for the incremental deformation gradient, in terms of the rotation tensor and the right stretch tensor, and their respective increments, is obtained. Since the obtained expression is approximate, correct to the first order, a c

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Objectivity, should be invariant to observers in different frames of reference. For example, if frame one is fixed, while frame two is rotating with respect to frame one, the stress response obtained in both frames using the same constitutive equation should obey the transformation that rotates frame one to the

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Finite Viscoelasticity,train linear viscoelasticity to finite strains is directly accomplished when the generalized Maxwell model is chosen as the underlying analogous viscoelastic material structure. The rheological elements in parallel preserve the linear structure of the formulation even at finite strains. This formula

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Finite Element Implementation,. Embedded in any finite element computational model is a material model. The solution of a set of nonlinear equilibrium equations in the finite element analysis of finite deformations is typically achieved through the employment of a Newton-Raphson iteration procedure. This requires the linearizati

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Robert M. Hackettual for newcomers to this area, as well as an invaluable addition to the laboratories and offices of the most practiced researchers..978-1-61779-749-1978-1-59745-524-4Series ISSN 1064-3745 Series E-ISSN 1940-6029