MODELLING OF LARGE STRAINS. MESSAGE 5. THERMOELASTICITY
DOI:
https://doi.org/10.20535/2305-9001.2015.73.39410Keywords:
large strains, multiplicative decomposition, thermoelasticityAbstract
It was considered in previous articles (reports 1,2,3 and 4) how the idea of Lee's multiplicative decomposition of the elastic-plastic Cauchy-Green deformation gradient can be implemented to a generalized decomposition of thermal, elastic, plastic and creep deformation gradient and the admissible forms of the constitutive state equations were established. The objective of the 5-th report is to determine which type of the reference configuration 'unloaded' or 'initial' is more suitable in case of thermal-elasticity with respect to general hyper-elastic postulates.
Group properties of reflection operators, the idea of multiplicative decomposition, Second Thermodynamics Law and principle of construction of a functional for a unit elastic free energy as well as a principle of elastic strain determination were used.
It was established that in case of thermal-elasticity the 'unloaded' reference configuration satisfies the general postulates of hyper-elasticity for elastic deformations. However, the 'initial' configuration can be used for calculations because definite transition between two states exists.
Consideration of presented study will help avoid mistakes during calculations of thermal-elastic processes occurring with big deformations.
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