A fading memory hypothesis which suffices for chain rules
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Publication:2531918
DOI10.1007/BF00251728zbMath0171.47201OpenAlexW2093193496MaRDI QIDQ2531918
Publication date: 1966
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00251728
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A note about differentiability of maps defined on convex subsets of Banach spaces that may be nowhere dense ⋮ Thermoelectroelasticity theory for materials with memory ⋮ On uniqueness and bifurcation in nonlinear viscoelasticity ⋮ Thermodynamic restriction on the initial slope of the stress-relaxation function ⋮ On thermo-electro-mechanical simple materials with fading memory. Restrictions of the constitutive equations in a Green-Naghdi type theory ⋮ Global Equivalence for Heat-Conducting Bodies with Fading Memory ⋮ Remarks on the foundations of linear viscoelasticity ⋮ On fading memory spaces and hereditary integral equations ⋮ Acceleration waves in a mixture of chemically reacting materials with memory ⋮ A thermodynamic theory of one-dimensional metals ⋮ On uniqueness and wave propagation in nonlinear heat conductors with memory ⋮ Inhomogeneous materially uniform higher order gross bodies ⋮ Complex bodies with memory: Linearized setting ⋮ On the entropy inequality ⋮ On the time derivatives of equilibrated response functions ⋮ On fading memory in materials of evolutionary type ⋮ On the geometric structures of simple bodies, a mathematical foundation for the theory of continuous distributions of dislocations ⋮ On the thermodynamics of materials with memory ⋮ On the thermodynamics of materials with memory ⋮ Thermodynamic restrictions on the constitutive equations of electromagnetic theory ⋮ On second sound in materials with memory ⋮ A uniqueness theorem for the general theory of heat conduction with finite wave speeds
Cites Work
- Thermodynamics and the possibility of spatial interaction in elastic materials
- Norms and semi-groups in the theory of fading memory
- On the thermodynamics of non-linear materials with quasi-elastic response
- Waves in materials with memory. II: On the growth and decay of one- dimensional acceleration waves
- Waves in materials with memory. III: Thermodynamic influences on the growth and decay of acceleration waves
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