Internally Balanced Spatial Elasticity tensor
DOI:
https://doi.org/10.63318/waujpasv3i2_11Keywords:
Principal stretches, Hyperelasticity, Internal balance, Spatial elasticity tensorAbstract
An ongoing research has applied arguments of calculus of variations to the portions of the deformation gradient multiplicative decomposition. This internally balanced treatment has a condensed material elasticity tensor that is formulated in terms of decomposed principal stretches. This work provides an explicit formulation to determine the condensed spatial elasticity tensor. The explicit formulation introduces an alternative procedure that is equivalent to pushing forward of the condensed material elasticity tensor. A demonstration is presented using an internal balance logarithmic constitutive model. A case study of simple shearing verifies the correctness of the new formulation.
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