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December 1, 1965Journal of Applied Mechanics1,907 citationsOpen Access

Mechanics of Incremental Deformation

MBM. A. BiotDDD. C. Drucker

Key Points

  • Synthesize foundational continuum mechanics governing nonlinear elasticity, viscoelastic behavior, and stability under initial stress using irreversible thermodynamics.
  • Extended and synthesized theoretical mechanics frameworks originally formulated between 1934 and 1940 regarding continuous media under prestress.
  • Integrated mathematical models of mechanical stability with the thermodynamics of linear irreversible processes.
  • Formulated a unified mathematical treatment for incremental deformation applicable to both purely elastic and viscoelastic solid media.
  • Derived stability criteria and thermodynamic formulations that govern how prestressed materials respond to small perturbations.

Abstract

THIS extremely interes ting and valuable book on nonlinear elasticity and viscoelasl icily is an exten.ion and.ynthesis of I he author's pioneering work of 1934-1940 and his recent papers on stability and on the thermodynamics of linear irreversi ble processes.

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Cite This Study

Biot et al. (1965) studied this question.

synapsesocial.com/papers/6a0b9ced29a6fde3ef95d42chttps://doi.org/10.1115/1.3627365
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