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Titlebook: Computational Homogenization of Heterogeneous Materials with Finite Elements; Julien Yvonnet Book 2019 Springer Nature Switzerland AG 2019

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Piezoelectricity,oth problems depend on the solution of each other. After presenting the localization problem defined over the RVE, the different effective operators are defined and the FEM procedure for their numerical calculation is provided. Finally, a numerical validation example is provided for fibrous piezoelectric composites.
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When Scales Cannot Be Separated: Direct Solving of Heterogeneous Structures with an Advanced Multision even the global response. More precisely, lack of scale separation occurs when the wavelength associated with the strain and stress fields at the microscale is of the same order of magnitude as the wavelength of the prescribed loads or the characteristic dimensions of the structure [.].
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Availability Analysis of Complex Systems,ves to this method due to its simplicity, even though other approaches have been proposed based on Laplace–Carson transform. A literature review about the different available methods and their drawbacks/advantages can be found in [.].
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Linear Viscoelastic Materials,ves to this method due to its simplicity, even though other approaches have been proposed based on Laplace–Carson transform. A literature review about the different available methods and their drawbacks/advantages can be found in [.].
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Conduction Properties,fective conductivity of a heterogeneous medium in steady-state regime. First, the notion of RVE is introduced. Then, the localization problems and the effective quantities are defined, and the numerical procedures using FEM to compute the effective conductivity tensor are presented.
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