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Time-independent Models (*)

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Nonlinear Dynamics of Structures
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Abstract

Some basic concepts of the theory of elasticity and its mechanical variables are reviewed in this chapter. Particularly, a brief summary of the classic plasticity theory is presented as well as its modification in order to make it more general. Moreover, a brief presentation of the continuous damage theory will be offered. All this will be carried out within the kinematic system with small displacements that hypothetically introduce small deformations. Basic knowledge of the mechanics of continuous media, , is recommended. Answers will be found to analyze the subject in depth. It is important, however, to set the criteria, hypothesis and notations and also to remember the most important concepts of the subject addressed in this work.

Note: this chapter is a summary of chapters 6, 9 and 10 of the book: S. Oller (2001). Fractura mecánica – Un enfoque global. CIMNE – Ediciones UPC. Barcelona.

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Notes

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Oller, S. (2014). Time-independent Models (*) . In: Nonlinear Dynamics of Structures. Lecture Notes on Numerical Methods in Engineering and Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-05194-9_5

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  • DOI: https://doi.org/10.1007/978-3-319-05194-9_5

  • Publisher Name: Springer, Cham

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