Perfect plasticity and hyperelastic models for isotropic materials

Kluth, Gilles; Després, Bruno
August 2008
Continuum Mechanics & Thermodynamics;Aug2008, Vol. 20 Issue 3, p173
Academic Journal
We study the introduction of multi-dimensional plasticity in hyperelastic models. We construct a potential (the internal energy) which models the isotropic elastic and perfectly plastic behavior of materials. We apply this method to the analysis of the flyer-plate experiment. The mathematical analysis exhibits a strong similarity with phase transition issues. Numerical experiments confirm the theoretical analysis.


Related Articles

  • Calculating the elastic constants of a highly porous cellular plastic with an oriented structure. Lagzdins, A.; Zilaucs, A.; Beverte, I.; Andersons, J. // Mechanics of Composite Materials;May2013, Vol. 49 Issue 2, p121 

    A method for calculating the elastic constants of high-porosity cellular materials is proposed on the assumption that their oriented structure can be considered as a linear transform of some random structure. A simplified procedure to take into account the effect of gas pressure in closed-cell...

  • Understanding the changes in mechanical properties due to the crystalline-to-amorphization transition in SiC. Xue, Kun; Niu, Li-Sha // Journal of Applied Physics;Oct2009, Vol. 106 Issue 8, p083505-1 

    Atomic-scale simulations of tensile testing are performed on a series of silicon carbide (SiC) with varying chemical disorder to investigate the changes in mechanical properties due to the accumulation of irradiation damage. The accumulation of chemical disorder, which drives the...

  • Elastic-Plastic Transition in MBE-Grown GaSb Semiconducting Crystal Examined by Nanoindentation. MAJTYKA, A.; TREBALAA, M.; TUKIAINEN, A.; CHROBAK, D.; BORGIEŁA, W.; RÄISÄNENE, J.; NOWAK, R. // Acta Physica Polonica, A.;2016, Vol. 130 Issue 4, p1131 

    The present paper concerns the elastic-plastic nanodeformation of Te-doped GaSb crystals grown by molecular beam epitaxy on the n-type of GaSb substrate. The conventional analysis of nanoindentation data obtained with sharp triangular (Berkovich) and spherical tip revealed the elastic modulus (E...

  • Plasticity of iron in the course of polymorphic α-γ transformation. Éstrin, É. // Doklady Physics;Apr2006, Vol. 51 Issue 4, p204 

    The article analyzes high-temperature phase transformation of iron and the anomalous plasticity occurring within it. Anomalies in mechanical characteristics of a material arise due to phase transformation occurring under the action of an applied force field. The author reports that the anomalous...

  • Modification of Sr on 4004 Aluminum Alloy. Guo, Erjun; Cao, Guojian; Feng, Yicheng; Wang, Liping; Wang, Guojun; Lv, Xinyu // JOM: The Journal of The Minerals, Metals & Materials Society (TM;May2013, Vol. 65 Issue 5, p613 

    As a brazing foil, 4004 Al alloy has good welding performance. However, the high Si content decreases the plasticity of the alloy. To improve the plasticity of 4004 Al alloy and subsequently improve the productivity of 4004 Al foil or 434 composite foil, 4004 Al alloy was modified by Al-10%Sr...

  • Effects of Local Solute Ordering and Plasticity on the Delta to Alpha Transformation in Gallium-Stabilized Plutonium Alloys. Krenn, C. R.; Sadigh, B.; Schwartz, A. J.; Wolfer, W. G. // AIP Conference Proceedings;2003, Vol. 673 Issue 1, p87 

    The delta-to-alpha transformation in Ga-stabilized plutonium alloys has many unusual features. It is a thermally activated martensitic transformation with double-c transformation kinetics. The alpha product has an approximately 20% smaller volume than delta, but its volume can change an...

  • Transformation-Induced Diffraction Peak Broadening During Bainitic and Martensitic Transformations Under Small External Loads in a Quenched and Tempered High Strength Steel. Dutta, R.; Huizenga, R.; Amirthalingam, M.; Hermans, M.; King, A.; Richardson, I. // Metallurgical & Materials Transactions. Part A;Sep2013, Vol. 44 Issue 9, p4011 

    In situ phase transformation behavior of a high strength S690QL1 steel during continuous cooling under different mechanical loading conditions has been used to investigate the effect of small external loads on the transformation-induced plasticity during bainitic and martensitic transformations....

  • Plasticization and antiplasticization of polymer melts diluted by low molar mass species. Stukalin, Evgeny B.; Douglas, Jack F.; Freed, Karl F. // Journal of Chemical Physics;Feb2010, Vol. 132 Issue 8, p084504 

    An analysis of glass formation for polymer melts that are diluted by structured molecular additives is derived by using the generalized entropy theory, which involves a combination of the Adam–Gibbs model and the direct computation of the configurational entropy based on a lattice model...

  • Internal friction in alloys due to plasticity of the diffusion phase transformation. Arzhavitin, V. // Technical Physics;Jun2007, Vol. 52 Issue 6, p721 

    An analytic expression is obtained for the time dependence Q −1( t) of internal friction associated with plasticity of a phase transformation. Time dependences Q −1( t) of internal friction of the Pb-62Sn and Pb-1.9Sn alloys (wt.%) alloys were studied in the regime of continuous...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics