Continuum Mechanics

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5 domain-specific abstractions whose origin domain is Continuum Mechanics.

• Cauchy elastic material — A simple elastic material whose current stress depends only on the current local deformation, not on its history or rate.
• Polynomial hyperelastic model — A phenomenological finite-strain material model expressing strain-energy density as a polynomial in invariants of the isochoric deformation tensor plus an optional volumetric term.
• Stress space — Represent a symmetric stress tensor by its three principal stresses in Haigh–Westergaard coordinates, turning rotationally invariant yield criteria into surfaces decomposed by hydrostatic pressure, deviatoric radius, and Lode angle.
• Stress triaxiality — The dimensionless ratio of mean hydrostatic stress to von Mises equivalent stress, characterizing the pressure-like component of a multiaxial stress state.
• Two-point tensor — A tensor-like linear map whose indices transform in two different vector spaces, commonly connecting a material reference configuration with a current spatial configuration.