Linear theory of micropolar media with internal nonlocal potential interactions

DOI10.1002/zamm.202300099OpenAlexW4379010612MaRDI QIDQ6148855

Holm Altenbach, Vladimir S. Shorkin, Elena N. Vilchevskaya

Publication date: 8 February 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.202300099

zbMATH Keywords

deformable solidsplane acoustic wavesmicropolar elastic mediumpolarized electric field

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Linear elasticity with initial stresses (74B10) Micromechanics of solids (74M25) Polar materials (74A35) Hydro- and aero-acoustics (76Q05) Linear waves in solid mechanics (74J05) Waves and radiation in optics and electromagnetic theory (78A40) Hypersonic flows (76K05) PDEs in connection with mechanics of deformable solids (35Q74) Bounds for solutions of equilibrium problems in solid mechanics (74G45)

Cites Work

• Foundations of micropolar mechanics
• Basic equations of Kelvin's medium and analogy with ferromagnets
• Anti-plane inclusion problem in the second gradient electroelasticity theory
• Micropolar continuum in spatial description
• Theories of elasticity with couple-stress
• Microcontinuum balance equations revisited: The mesoscopic approach
• Polarization gradient in elastic dielectrics
• Variant of the relationship between the mechanical and adhesive properties of solid materials
• Nonlocal Continuum Field Theories
• Dielectric anisotropy in polar solvents under external fields
• The plane problem in the theory of nonsymmetrical elasticity
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