Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids
From MaRDI portal
Publication:5041586
DOI10.1177/10812865211049468OpenAlexW3206419217WikidataQ115242149 ScholiaQ115242149MaRDI QIDQ5041586
Publication date: 14 October 2022
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/10812865211049468
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Finsler geometry and applications in mechanics: review and new perspectives
- On the curvature of warped product Finsler spaces and the Laplacian of the Sasaki-Finsler metrics
- Finsler geometry of nonlinear elastic solids with internal structure
- On fibre bundle approach to a damage analysis
- A phase field model of deformation twinning: nonlinear theory and numerical simulations
- Nonlinear mechanics of crystals
- The variation formulas of Finsler submanifolds
- Charge oscillations in superconducting nanodevices coupled to external environments
- Output entanglement and squeezing of two-mode fields generated by a single atom
- A phase-field description of dynamic brittle fracture
- Foundations of micropolar mechanics
- Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
- On finite strain micromorphic elastoplasticity
- Energy storage and geo-massif fracture
- Metrical Finsler structures and metrical Finsler connections
- A view of the relation between the continuum theory of lattice defects and non-Euclidean geometry in the linear approximation
- Differential geometry of spacetime tangent bundle
- A divergence theorem for Finsler metrics
- Structure presque tangente et connexions. II. Errata
- The differential geometry of fracture
- Geometrical theory of uniform Cosserat media
- On the role of the Finsler geometry in the theory of elasto-plasticity
- Nonlinear continuum theory of dislocations
- Analysis of shock compression of strong single crystals with logarithmic thermoelastic-plastic theory
- Continuum modeling of twinning, amorphization, and fracture: theory and numerical simulations
- Rate theory of nonlocal gradient damage-gradient viscoinelasticity.
- Non-contraction of heat flow on Minkowski spaces
- Geometrical foundations of continuum mechanics. An application to first- and second-order elasticity and elasto-plasticity
- Generalized Finsler geometric continuum physics with applications in fracture and phase transformations
- Theories of elasticity with couple-stress
- Non-metric connection and metric anomalies in materially uniform elastic solids
- Non-Riemannian and Finslerian approaches to the theory of yielding
- On the analytical and physical foundations of the theory of dislocations and yielding by the differential geometry of continua
- Materially uniform simple bodies with inhomogeneities
- On the stress relation in non-linear thermoelasticity
- On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations
- Structure presque tangente et connexions. I
- Micro-structure in linear elasticity
- On the proper formulation of Maxwellian electrodynamics for continuum mechanics
- On the connection in Finsler space as an induced connection
- Geometry of Pseudo-Finsler Submanifolds
- The connections of pseudo-Finsler spaces
- Differential Geometry and Kinematics of Continua
- The geometry of discombinations and its applications to semi-inverse problems in anelasticity
- Differential geometry of viscoelastic models with fractional-order derivatives
- Defects in nonlinear elastic crystals: differential geometry, finite kinematics, and second‐order analytical solutions
- Finsler geometry of seismic ray path in anisotropic media
- On the conservation laws in the theory of fields in Finsler spaces
- On the theory of fields in Finsler spaces
- On the covariant differential of spin direction in the Finslerian deformation theory of ferromagnetic substances
- On H. Hencky’s Approximate Strain-Energy Function for Moderate Deformations
- Finslerian structures: The Cartan–Clifton method of the moving frame
- The Diffuse Interface Approach in Materials Science
- Generalized pseudo-Finsler geometry applied to the nonlinear mechanics of torsion of crystalline solids
- A Generalized Model of Oriented Continuum with Defects
- On anholonomic deformation, geometry, and differentiation
- Non-local elasto-viscoplastic models with dislocations in finite elasto-plasticity. Part I: Constitutive framework
- Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids
- The Geometrical Language of Continuum Mechanics
- Continuous distributions of dislocations VI. Non-metric connexions
- Ricci-Calculus
- Finsler Spaces as Non-Holonomic Subspaces of Riemannian Spaces
- Continua with microstructure modelled by the geometry of higher-order contact
- Connection Structures of Topological Singularity in Micromechanics from a Viewpoint of Generalized Finsler Space
This page was built for publication: Finsler differential geometry in continuum mechanics: Fundamental concepts, history, and renewed application to ferromagnetic solids
