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Nonlinear strain gradient and micromorphic one-dimensional elastic continua: Comparison through strong ellipticity conditions

  • Published:2022-09 Issue: Volume:124 Page:103909
  • ISSN:0093-6413
  • Container-title:Mechanics Research Communications
  • language:en
  • Short-container-title:Mechanics Research Communications

Author:

Eremeyev Victor A.ORCID,Reccia Emanuele

Funder

Russian Science Foundation

Russian Academy of Sciences

Publisher

Elsevier BV

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science,Civil and Structural Engineering

Reference44 articles.

1. Homogenization of a Cauchy continuum towards a micromorphic continuum;Hütter;J. Mech. Phys. Solids,2017

2. A micromorphic computational homogenization framework for heterogeneous materials;Biswas;J. Mech. Phys. Solids,2017

3. Construction of micromorphic continua by homogenization based on variational principles;Alavi;J. Mech. Phys. Solids,2021

4. Discrete and Continuum Models for Complex Metamaterials;dell’Isola,2020

5. Identification of a geometrically nonlinear micromorphic continuum via granular micromechanics;Misra;ZAMP,2021

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1. Ellipticity of gradient poroelasticity;International Journal of Engineering Science;2023-09

2. On the Ellipticity of Static Equations of Strain Gradient Elasticity and Infinitesimal Stability;Vestnik St. Petersburg University, Mathematics;2023-03

3. Deformation mode in 3-point flexure on pantographic block;International Journal of Solids and Structures;2023-03

4. Strong Ellipticity and Infinitesimal Stability within Nth-Order Gradient Elasticity;Mathematics;2023-02-17

5. On well‐posedness of the first boundary‐value problem within linear isotropic Toupin–Mindlin strain gradient elasticity and constraints for elastic moduli;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2023-01-07
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