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Titlebook: Handbook of Damage Mechanics; Nano to Macro Scale George Z. Voyiadjis Reference work 2022Latest edition The Editor(s) (if applicable) and

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https://doi.org/10.1007/978-3-658-25606-7obeam. Euler–Lagrange equation and the kinematic boundary conditions are obtained with the help of first variation of cracked microbeam. The accuracy, efficiency, and generality of the proposed approach are fully verified and demonstrated through numerical examples involving different values of the crack location.
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Vibration Analysis of Cracked Microbeams by Using Finite Element Methodobeam. Euler–Lagrange equation and the kinematic boundary conditions are obtained with the help of first variation of cracked microbeam. The accuracy, efficiency, and generality of the proposed approach are fully verified and demonstrated through numerical examples involving different values of the crack location.
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Unified Representation of Automata,sses the healing process in detail in a logical/mathematical manner. These novel and basic ideas are intended to open the way for new, consistent, and comprehensive paths in damage mechanics and material characterization research.
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George Z. VoyiadjisAdds new topics including damage in granular materials, biological tissue, crashworthiness, and evaluation with DIC.Provides a range of information on basic principles, numerical issues, and computati
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https://doi.org/10.1007/978-3-030-60242-0Constitutive Modeling; Continuum Damage; Damage Model; Discrete Modeling; Healing Mechanics; Nonlocal Dam
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