Titlebook: Handbook of Damage Mechanics; Nano to Macro Scale George Z. Voyiadjis Reference work 20151st edition Springer Science+Business Media New Y

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Fractals and Mechanics of Fracturee underlying physical meaning or lack thereof. A customary practice to deal with the singularity problem is to exclude a small region near the singular point, for which a different constitutive law – usually nonelastic – is postulated. This approach is adequate provided that the stress field outside

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Two-Dimensional Discrete Damage Models: Lattice and Rational Modelseproduce with continuum-based models. “Among these complex phenomena is damage evolution with nucleation, propagation, interaction, and coalescence of cracks that can result in a plethora of macroscale deformation forms.” Discontinua-based models are computational methods that represent material as

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Ductile Damage Behavior in Low-Cycle Fatigue for Polycrystalline Metallic Materialshavior will be demonstrated leading to exceed the scope of this chapter. So, it is convenient to present, discuss, and analyze these subjects. Understanding some physical phenomena related to plasticity and damage is important in modeling. Hence, the main objective is to describe accurately the over

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From Single Crystal to Polycrystal Plasticity: Overview of Main Approachestals or individual grains in polycrystalline metallic materials. The crucial role that physics-based crystal plasticity approaches may play in understanding the mechanisms of damage initiation and growth is addressed. This includes a discussion of the main strain gradient constitutive approaches use

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Micromechanics for Heterogeneous Material Property Estimationmental estimation; a heterogeneous material includes a partially damaged or plastically deformed material. These two theories, namely, the average field theory and the homogenization theory, are explained in this article. The average field theory is based on physical treatment of the heterogeneous m

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Numerical Applications in Damage Induced Anisotropy in Low-Cycle Fatigue Modeling for Metals The model deals with the plastic strain and local damage variables. In fact, they are examined at the crystallographic slip scale for FCC metallic polycrystals. The elastic behavior is initially assumed to be compressible and isotropic determined at the macroscopic scale. Due to the activation/deac