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Verification of Continuum Mechanics Predictions with Experimental Mechanics

Sciammarella, Cesar A ; Lamberti, Luciano ; Sciammarella, Federico M

Materials, 2019-12, Vol.13 (1), p.77 [Periódico revisado por pares]

Switzerland: MDPI AG

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Título:
Verification of Continuum Mechanics Predictions with Experimental Mechanics
Autor: Sciammarella, Cesar A ; Lamberti, Luciano ; Sciammarella, Federico M
Assuntos: al–sic composite material ; Composite materials ; Constitutive models ; Continuum mechanics ; Deformation ; derivatives of displacements ; Homogenization ; kinematical variables ; Kinematics ; large deformations ; Mathematical analysis ; Mechanics ; Multiscale analysis ; Random variables ; representative volume element (rve) ; Scalars ; Tensors ; urethane rubber ; Verification
É parte de: Materials, 2019-12, Vol.13 (1), p.77
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição: The general goal of the study is to connect theoretical predictions of continuum mechanics with actual experimental observations that support these predictions. The representative volume element (RVE) bridges the theoretical concept of continuum with the actual discontinuous structure of matter. This paper presents an experimental verification of the RVE concept. Foundations of continuum kinematics as well as mathematical functions relating displacement vectorial fields to the recording of these fields by a light sensor in the form of gray-level scalar fields are reviewed. The Eulerian derivative field tensors are related to the deformation of the continuum: the Euler-Almansi tensor is extracted, and its properties are discussed. The compatibility between the Euler-Almansi tensor and the Cauchy stress tensor is analyzed. In order to verify the concept of the RVE, a multiscale analysis of an Al-SiC composite material is carried out. Furthermore, it is proven that the Euler-Almansi strain tensor and the Cauchy stress tensor are conjugate in the Hill-Mandel sense by solving an identification problem of the constitutive model of urethane rubber.
Editor: Switzerland: MDPI AG
Idioma: Inglês

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Verification of Continuum Mechanics Predictions with Experimental Mechanics

Sciammarella, Cesar A ; Lamberti, Luciano ; Sciammarella, Federico M

Switzerland: MDPI AG

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