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Strain energy functions for a Poisson power law function in simple tension of compressible hyperelastic materials. (English) Zbl 1001.74013
Summary: Using a generalized Blatz-Ko approach, we derive the most general strain energy function that yields a power law relationship between the principal stretches in simple tension of nonlinear, elastic, homogeneous, compressible, isotropic materials. The strain energy function obtained depends on the choice of two stretch invariants. The forms of strain energy function are given for a number of such choices. Finally, we discuss some consequences of the choice of strain energy function on the stress-strain relationship for uniaxial tension.

74B20 Nonlinear elasticity
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