Author | Cohen, Harley. author |
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Title | The Theory of Pseudo-rigid Bodies [electronic resource] / by Harley Cohen, Robert G. Muncaster |
Imprint | New York, NY : Springer New York, 1988 |
Connect to | http://dx.doi.org/10.1007/978-1-4613-9589-8 |
Descript | X, 183 p. online resource |
1 Prolegomena to the Theory -- (i) Historical Perspectives -- (ii) Toward the Rational Mechanics of Pseudo-rigid Bodies -- (iii) Toward the Study of Cross-theory Comparison -- 2 Foundations of the Theory of Pseudo-rigid Bodies -- (i) Event Worlds and Body Manifolds -- (ii) Kinematics -- (iii) Equations of Balance -- (iv) Forces and Force-moments -- (v) Rigid-body Mechanics: The Principle of Balance of Angular Momentum -- (vi) Changes of Frame -- (vii) Constitutive Relations -- 3 Consistency with Other Continuum Theories -- (i) The General Notion of Consistency -- (ii) Elasticity Theory. Subtheories -- (iii) The Subtheory of Pseudo-rigid Motions -- (iv) Symmetry. Uniqueness -- (v) Approximation of the Coarsifier -- 4 Explicit Motions of Pseudo-rigid Bodies -- (i) Rigid Motions -- (ii) Roto-deformations -- (iii) Pure Stretch Motions -- (iv) Shearing Motions -- (v) Plane Motions -- 5 Variational Formulation of the Theory -- (i) Lagrangian and Hamiltonian Formulations -- (ii) Symmetry and Conserved Quantities -- (iii) The Stability of Steady Motions: A Special Case -- (iv) Ignorable Coordinates: Remarks on the General Analysis of Stability -- 6 Approximations for Almost-rigid Bodies -- (i) The Problem of Transition to Rigidity -- (ii) Derivation of the Asymptotic Expansion -- (iii) Proof of the Spectral Theorem -- (iv) Special Results for Axially Symmetric Bodies -- (v) Gyroscopic Motions -- References