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Continuum Damage Mechanics pp 141–200Cite as

Elastic-Plastic Damage

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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 185))

Abstract

The preceding chapters were concerned with the notion and the fundamental theories of continuum damage mechanics (CDM). Hereafter we will discuss the application of CDM to damage and fracture phenomena encountered in wide range of engineering problems. The present chapter starts with the modeling of elastic-plastic damage and its application. In Section 6.1, we summarized the constitutive and the evolution equations of elastic-plastic isotropic damage of materials developed in Chapter 4, and discuss their application to the problems of ductile damage, brittle damage and quasi-brittle damage. Section 6.2, on the other hand, is concerned with the detailed discussion of ductile damage process, i.e., the discussion of physical and mechanical aspects of ductile damage, their mechanical modeling and its analysis.

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Notes

  1. 1.

    We should note that the variable Y thus defined, strictly speaking, has not the thermodynamically associated relation with the damage variable D of Eq. (6.110).

  2. 2.

    In the argument of this subsection, the symbol R will be reserved to signify the average radius of spherical voids. Hence to avoid the repeated use of the symbol, the isotropic hardening variable R and its associated internal variable r will be replaced here by different symbols P and p.

  3. 3.

    A parameter \(\mu = (2\sigma_2 - \sigma_1 - \sigma_3)/(\sigma_1 - \sigma_3)\) is called Lode (stress) parameter, where \(\sigma_1 \geq \sigma_2 \geq \sigma_3\) are principal stresses.

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  1. Nagoya University, 3-63-3 Hinata-cho, Mizuho-ku, 467-0047, Nagoya, Japan

    Sumio Murakami (Professor Emeritus)

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Murakami, S. (2012). Elastic-Plastic Damage. In: Continuum Damage Mechanics. Solid Mechanics and Its Applications, vol 185. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-2666-6_6

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  • DOI: https://doi.org/10.1007/978-94-007-2666-6_6

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