Internally Balanced Spatial Elasticity tensor

Authors

  • Ashraf Hadoush Mechanical Engineering Department, Faculty of Engineering and Technology, Palestine Technical University – Kadoorei, Tulkarm, Palestine Author https://orcid.org/0000-0002-4876-3459

DOI:

https://doi.org/10.63318/waujpasv3i2_11

Keywords:

Principal stretches, Hyperelasticity, Internal balance, Spatial elasticity tensor

Abstract

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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Published

2025-06-02

How to Cite

Hadoush, A. (2025). Internally Balanced Spatial Elasticity tensor. Wadi Alshatti University Journal of Pure and Applied Sciences, 3(2), 98-101. https://doi.org/10.63318/waujpasv3i2_11