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Technical Brief

On Irreversibility and Dissipation in Hyperelasticity With Softening

[+] Author and Article Information
K. Y. Volokh

Department of Structural Engineering,
Ben-Gurion University of the Negev,
Beer-Sheva 8410501, Israel;
Faculty of Civil and Environmental Engineering,
Technion—Israel Institute of Technology,
Haifa 32000, Israel
e-mail: cvolokh@technion.ac.il

Manuscript received November 14, 2013; final manuscript received February 4, 2014; accepted manuscript posted February 17, 2014; published online March 7, 2014. Assoc. Editor: Glaucio H. Paulino.

J. Appl. Mech 81(7), 074501 (Mar 07, 2014) (3 pages) Paper No: JAM-13-1467; doi: 10.1115/1.4026853 History: Received November 14, 2013; Revised February 04, 2014; Accepted February 17, 2014

Bulk and interface material failures are often modeled via hyperelastic stored energy functions incorporating softening behavior. The softening is reversible due to the hyperelastic nature of the constitutive law and material can “heal” under unloading. To prevent this healing, special numerical procedures (like finite element deletion) are usually used in computer simulations. In the present work, we suggest an alternative: very simple analytical formulation, which makes failure irreversible when a critical stored energy is reached. This new notion is directly incorporated into the constitutive equations, consequently, relieving the need for preliminary discretization of the boundary-value problem.

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Figures

Grahic Jump Location
Fig. 1

Cauchy stress and switch parameter versus stretch in uniaxial tension

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