Consistent linearization of micromorphic continuum theories

We outline the procedure of consistent linearization and apply it to the micromorphic, microstretch, and micropolar theories of continua. This yields tractable linear theories for nonlinearly elastic microstructured materials undergoing finite deformations. The results may be readily utilized in computational mechanics, stability and bifurcation analyses, and small-deformation problems in the context of these types of continua. Our results generalize those existing in current literature and facilitate their recovery upon incorporating appropriate kinematic and constitutive assumptions.

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Publication Details

Journal
Mathematics and Mechanics of Solids
Published
2024-11-20
DOI
https://doi.org/10.1177/10812865241280280
Citations
9
Primary Topic
Nonlocal and gradient elasticity in micro/nano structures
Type
article
Field-Weighted Citation Impact
1.05

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article

Consistent linearization of micromorphic continuum theories

Ryan C. McAvoy
9 citations
Mathematics and Mechanics of Solids
Nonlocal and gradient elasticity in micro/nano structures
1.05
article

Consistent linearization of micromorphic continuum theories

Ryan C. McAvoy
article en
9 citations

Abstract

We outline the procedure of consistent linearization and apply it to the micromorphic, microstretch, and micropolar theories of continua. This yields tractable linear theories for nonlinearly elastic microstructured materials undergoing finite deformations. The results may be readily utilized in computational mechanics, stability and bifurcation analyses, and small-deformation problems in the context of these types of continua. Our results generalize those existing in current literature and facilitate their recovery upon incorporating appropriate kinematic and constitutive assumptions.

Mathematics and Mechanics of SolidsVol. 30(6)
Stanford University (US)
National Nuclear Security Administration
Sustainable cities and communities
Openalex Percentile: Top 20%
Nonlocal and gradient elasticity in micro/nano structures
1.05
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