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A local regularity result for the relaxed micromorphic model based on inner variations

  • Published:2023-03 Issue:2 Volume:519 Page:126806
  • ISSN:0022-247X
  • Container-title:Journal of Mathematical Analysis and Applications
  • language:en
  • Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Knees Dorothee,Owczarek Sebastian,Neff Patrizio

Funder

Deutsche Forschungsgemeinschaft

Narodowe Centrum Nauki

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference31 articles.

1. Sobolev Spaces;Adams,2003

2. Local H1-regularity and H1/3−δ-regularity up to the boundary in time dependent viscoplasticity;Alber;Asymptot. Anal.,2009

3. Exploring wave propagation in heterogeneous metastructures using the relaxed micromorphic model;Alberdi;J. Mech. Phys. Solids,2021

4. Mathematical Elasticity;Ciarlet,1988

5. Theory of micropolar elasticity;Eringen,1968

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A global higher regularity result for the static relaxed micromorphic model on smooth domains;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2024-05-20

2. Green’s functions for the isotropic planar relaxed micromorphic model — Concentrated force and concentrated couple;International Journal of Solids and Structures;2024-04

3. Higher order Bernstein–Bézier and Nédélec finite elements for the relaxed micromorphic model;Journal of Computational and Applied Mathematics;2024-03

4. Novel H(symCurl)-conforming finite elements for the relaxed micromorphic sequence;Computer Methods in Applied Mechanics and Engineering;2024-01
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