applied mathematics
超弹性本构关系
Hyperelastic constitutive representationA mathematical framework describing the nonlinear stress-strain behavior of elastic materials undergoing large deformations. / 描述大变形弹性材料非线性应力-应变行为的数学框架。
- Knowledge type
- 自然理论
- First proposed or discovered
- Proposer
- Turkey Farm member
- Creator
- 农场主
- Last updated
- 2026-10-27 16:01:01
Sub-knowledge points
Finite strain elasticityStress-strain relationshipMaterial nonlinearity
Higher-order knowledge points
Continuum mechanicsSolid mechanicsComputational mechanics
Main parameters and performance indicators
Deformation gradient: Describes the spatial change in shape and orientation of a material element.Strain energy density function: A scalar function representing the elastic energy stored per unit volume.Material parameters: Coefficients defining the specific hyperelastic model (e.g., Mooney-Rivlin, Ogden).
Open problems
Generalizing to anisotropic and incompressible materials.Robustness in identifying parameters from noisy experimental data.
Related literature
ranked by community starsLearning shared hyperelastic constitutive representation from heterogeneous full-field experiments across multiple materialsOpen source
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1 recordsRecord title: Hyperelastic constitutive representation.
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