Non-Conventional Thermodynamics and Models of Gradient Elasticity
AbstractWe consider material bodies exhibiting a response function for free energy, which depends on both the strain and its gradient. Toupin–Mindlin’s gradient elasticity is characterized by Cauchy stress tensors, which are given by space-like Euler–Lagrange derivative of the free energy with respect to the strain. The present paper aims at developing a first version of gradient elasticity of non-Toupin–Mindlin’s type, i.e., a theory employing Cauchy stress tensors, which are not necessarily expressed as Euler–Lagrange derivatives. This is accomplished in the framework of non-conventional thermodynamics. A one-dimensional boundary value problem is solved in detail in order to illustrate the differences of the present theory with Toupin–Mindlin’s gradient elasticity theory. View Full-Text
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Alber, H.-D.; Broese, C.; Tsakmakis, C.; Beskos, D.E. Non-Conventional Thermodynamics and Models of Gradient Elasticity. Entropy 2018, 20, 179.
Alber H-D, Broese C, Tsakmakis C, Beskos DE. Non-Conventional Thermodynamics and Models of Gradient Elasticity. Entropy. 2018; 20(3):179.Chicago/Turabian Style
Alber, Hans-Dieter; Broese, Carsten; Tsakmakis, Charalampos; Beskos, Dimitri E. 2018. "Non-Conventional Thermodynamics and Models of Gradient Elasticity." Entropy 20, no. 3: 179.
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