Horizontal and Vertical Regularity of Elastic Wave Geometry Article Swipe
The elastic properties of a material are encoded in a stiffness tensor field and the propagation of elastic waves is modeled by the elastic wave equation. We characterize analytic and algebraic properties a general anisotropic stiffness tensor field has to satisfy in order for Finsler-geometric methods to be applicable in studying inverse problems related to imaging with elastic waves.
Related Topics
Concepts
Stiffness
Tensor (intrinsic definition)
Mathematical analysis
Wave propagation
Inverse problem
Field (mathematics)
Tensor field
Anisotropy
Geometry
Physics
Algebraic number
Classical mechanics
Elasticity (physics)
Mathematics
Inverse
Stiffness matrix
Linear elasticity
Hyperelastic material
Lamb waves
Tensor calculus
Order (exchange)
Displacement field
Rotation (mathematics)
Infinitesimal strain theory
Hooke's law
Mechanics
Metadata
- Type
- article
- Landing Page
- http://arxiv.org/abs/2511.16466
- https://arxiv.org/pdf/2511.16466
- OA Status
- green
- OpenAlex ID
- https://openalex.org/W7106476343
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W7106476343Canonical identifier for this work in OpenAlex
- Title
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Horizontal and Vertical Regularity of Elastic Wave GeometryWork title
- Type
-
articleOpenAlex work type
- Publication year
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2025Year of publication
- Publication date
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2025-11-20Full publication date if available
- Authors
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Ilmavirta, Joonas, Kirkkopelto, Pieti, Kykkänen, AnttiList of authors in order
- Landing page
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https://arxiv.org/abs/2511.16466Publisher landing page
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https://arxiv.org/pdf/2511.16466Direct link to full text PDF
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2511.16466Direct OA link when available
- Concepts
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Stiffness, Tensor (intrinsic definition), Mathematical analysis, Wave propagation, Inverse problem, Field (mathematics), Tensor field, Anisotropy, Geometry, Physics, Algebraic number, Classical mechanics, Elasticity (physics), Mathematics, Inverse, Stiffness matrix, Linear elasticity, Hyperelastic material, Lamb waves, Tensor calculus, Order (exchange), Displacement field, Rotation (mathematics), Infinitesimal strain theory, Hooke's law, MechanicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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