Elastic, perfectly plastic hollow sphere problem: a finite strain solution and energetic analysis

• Autorzy: Zambelli S. , Hild F. , Trumel H. , Roy G. , Pellegrini Y. -P.
• Języki publikacji: EN

Abstrakty

EN

The growth of a void in a sphere of an elastic perfectly plastic material subjected to an external hydrostatic loading is modeled in the framework of irrotational finite strains. It is shown that, for small initial void volume fractions, the infinitesimal plastic strain hypothesis leads to a gross overestimation of the void growth kinetics. This assumption is relaxed in the present work, and the analytical results compare exactly with numerical simulations carried out with the commercial finite element code ABAQUS. A thermodynamic analysis is then performed, and will be considered as a basis for investigating thermal softening and micro-inertia effects on the damage process.

Słowa kluczowe

EN

ductile damage; hollow sphere; finite plastic strain; energy analysis

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Foundations of Civil and Environmental Engineering
• Rocznik: 2010
• Tom: No. 13
• Strony: 117--127
• Opis fizyczny: Bibliogr. 14 poz., rys.

Twórcy

autor

Zambelli S.

• LMT-Cachan (ENS Cachan/CNRS/Université Paris 6/PRES UniverSud Paris) 61, av. du Président Wilson, F-94230 Cachan Cedex, France
• CEA, DAM, VALDUC, F-21120 Is Sur Tille, France

autor

Hild F.

• LMT-Cachan (ENS Cachan/CNRS/Université Paris 6/PRES UniverSud Paris) 61, av. du Président Wilson, F-94230 Cachan Cedex, France

autor

Trumel H.

• CEA, DAM, LE RIPAULT, F-37260 Monts, France

autor

Roy G.

• CEA, DAM, VALDUC, F-21120 Is Sur Tille, France

autor

Pellegrini Y. -P.

• CEA, DAM, DIF, F-91297 Arpajon, France

Bibliografia

• 1. Ball J. M.: Discontinuous equilibrium solutions and cavitation in nonlinear elasticity, Phil. Trans. R. Soc. London, 306, 1496 (1982) 557-611.
• 2. Carroll M. M., Holt A. C.: Static and dynamic pore collapse relations for ductile porous materials, J. Appl. Phys., 43, 4 (1972) 1626-1636.
• 3. Czarnota C., Mercier S., Molinari A.: Modeling of nucleation and void growth in dynamic pressure loading, application to spall test on tantalum, Int. J. Fracture, 141, 1-2 (2006) 177-194.
• 4. Denoual C., Diani J.-M.: Cavitation in compressible visco-plastic materials, in: Shock compression in condensed Matter, Proc. APS, 2002, 495-498.
• 5. Grady D. E.: The spall strength of condensed matter, J. Mech. Phys. Solids, 36,3(1988) 353-384.
• 6. Hou H.-S., Abeyaratne R.: Cavitation in elastic and elastic-plastic solids, J. Mech. Phys. Solids, 40, 3 (1992) 571-592.
• 7. Johnson J. N.: Dynamic fracture and spallation in ductile solids, J. Appl. Phys., 52,4 (1981) 2812-2825.
• 8. Molinari A., Mercier S.: Micromechanical modeling of porous materials under dynamic loading, J. Mech. Phys. Solids, 49, 7 (2001) 1497-1516.
• 9. Ortiz M., Molinari A.: Effect of strain hardening and rate sensitivity on the dynamic growth of a void in a plastic material, J. Appl. Mech., 59, 1 (1992) 48-53.
• 10. Trumel H., Hild F., Roy G., Pellegrini Y.-P., Denoual C.: On probabilistic aspects in the dynamic degradation of ductile materials, J. Mech. Phys. Solids, 57, 12(2009) 1980-1998.
• 11. Vivier G., Trumel H., Hild F.: On the stored and dissipated energies in heterogeneous rate-independent systems: theory and simple examples, Continuum Mechanics and Thermodynamics, 20, 7 (2009) 411-427.
• 12. Wang Z.-P., Jiang Q.: A yield criterion for porous ductile media at high strain rate, J. Appl. Mech., 64, 3 (1997) 503-509.
• 13. Wu X. Y., Ramesh K. T., Wright T. W.: The dynamic growth of a single void in a viscoplastic material under transient hydrostatic loading, J. Mech. Phys. Solids, 51, 1 (2003) 1-26.
• 14. Wu X. Y., Ramesh K. T., Wright T. W.: The effects of thermal softening and heat conduction on the dynamic growth of voids, Int. J. Solids Struct., 40, 17 (2003) 4461-4478.