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2015 | OriginalPaper | Chapter

1. Some Basic Issues of Isotropic and Anisotropic Continuum Damage Mechanics

Authors : George Z. Voyiadjis, Peter I. Kattan, Mohammed A. Yousef

Published in: Handbook of Damage Mechanics

Publisher: Springer New York

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Abstract

This chapter includes two main topics in isotropic and anisotropic damage mechanics. In the first topic, various new proposed damage variables are introduced, examined, and compared. The scalar case pertaining to isotropic damage is investigated, and several types of new damage variables are proposed. The damage variables introduced in this part can be applied to elastic materials including homogeneous materials like metals and heterogeneous materials like composite laminates. Moreover, higher-order strain energy forms are proposed. These higher-order strain energy forms along with some of the proposed damage variables are used in trying to lay the theoretical groundwork for the design of undamageable materials, i.e., materials that cannot be damaged where the value of the damage variable remains zero throughout the deformation process.

The second topic presents a new concept of anisotropic damage that is examined within the framework of continuum damage mechanics. New proposed damage tensors are studied in order to investigate the damage effect variables in the mechanical behavior of materials. In addition, new hybrid damage tensors are proposed and defined in terms of the damage effect tensor and the new proposed damage tensors. Accordingly, this study demonstrates that most of the new proposed damage tensors are verified within the framework of continuum damage mechanics.

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Title: Some Basic Issues of Isotropic and Anisotropic Continuum Damage Mechanics
Authors: George Z. Voyiadjis
Peter I. Kattan
Mohammed A. Yousef
Publisher: Springer New York
Book: Handbook of Damage Mechanics
Print ISBN: 978-1-4614-5588-2

Electronic ISBN: 978-1-4614-5589-9

Copyright Year: 2015
DOI: https://doi.org/10.1007/978-1-4614-5589-9_1

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