A two-scale model for predicting the multiple crack growth in viscoelastic solids due to an impact is presented. The cracks are considered only at the local scale through the use of a micromechanical viscoelastic cohesive zone model. The multiscale model has been implemented in a finite-element code. In order to minimize the computation time, the local finite-element meshes are solved in parallel by multiple processors. An example problem is given in order to demonstrate the capabilities of the model.
Similar content being viewed by others
References
J. D. Eshelby, “The determination of the elastic field of an ellipsoidal inclusion and related problems,” Proc. Roy. Soc., Ser. A, 241, 376–396 (1957).
R. Hill, “Elastic properties of reinforced solids: some theoretical principles,” J. Mech. Phys. Sol ids, 11, 357–372 (1963).
Z. Hashin, “Theory of mechanical behavior of heterogeneous media,” Appl. Mech. Rev., 17, 1–9 (1964).
R. Hill, “A self-con sis tent mechanics of composite materials,” J. Mech. Phys. Solids, 13, 213–222 (1965).
R. Hill, “Continuum micro-mechanics of elastoplastic polycrystals,” J. Mech. Phys. Solids, 13, 89–101 (1965).
D. H. Allen and C. Yoon, “Homogenization techniques for thermoviscoelastic solids containing cracks,” Int. J. Solids Struct., 35, 4035–4053 (1998).
J. Fish, K. Shek, M. Pandheeradi, and M. S. Shephard, “Computational plasticity for composite structures based on mathematical homogenization: theory and practice,” Comput. Meth. Appl. Mech. Eng., 148, 53–73 (1997).
F. Feyel, “Multiscale FE2 elastoviscoplastic analysis of composite structures,” Comput. Ma ter. Sci., 16, 344–354 (1999).
F. Feyel and J.-L. Chaboche, “FE2 multiscale approach for modelling the elastoviscoplastic behavior of long fibre SiC/Ti composite materials,” Comput. Meth. Appl. Mech. Eng., 183, 309–330 (2000).
S. Ghosh, K. Lee, and P. Raghavan, “A multi-level computational model for multi-scale damage analysis in composite and porous materials,” Int. J. Solids Struct., 38, 2335–2385 (2001).
D. H. Allen and C. R. Searcy, “A model for predicting the evolution of multiple cracks on multiple length scales in viscoelastic composites,” J. Mater. Sci., 41, 6510–6519 (2006).
F. V. Souza, D. H. Allen, and Y.-R. Kim, “Multiscale model for predicting damage evolution in composites due to impact loading,” Compos. Sci. Technol. (2007) (in press).
D. H. Allen and C. R. Searcy, “A micromechanical model for a viscoelastic cohesive zone,” Int. J. Fract., 107, 159–176 (2001).
D. H. Allen and C. R. Searcy, “A micromechanically-based model for predicting damage evolution in ductile polymers,” Mech. Mater., 33, 177–184 (2001).
C. Yoon and D. H. Allen, “Damage dependent constitutive behavior and energy release rate for a cohesive zone in a thermoviscoelastic solid,” Int. J. Fract., 96, 56–74 (1999).
F. V. Souza and D. H. Allen, “Modeling failure of heterogeneous viscoelastic solids under dynamic/impact loading due to multiple evolving cracks using a multiscale model,” Submitted to Mech. Time-Depend. Mater. (2007).
E. Gabriel, G. E. Fagg, G. Bosilca, T. Angskun, J. J. Dongarra, J. M. Squyres, V. Sahay, P. Kambadur, B. Barrett, A. Lumsdaine, R. H. Castain, D. J. Daniel, R. L. Graham, and T. S. Woodall, “Open MPI: goals, concept, and design of a next generation MPI implementation,” in: Proc. 11th Eur. PVM/MPI Users’ Group Meet., Budapest, Hungary (2004).
Author information
Authors and Affiliations
Additional information
Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 45, No. 2, pp. 211–222, March–April, 2009.
Rights and permissions
About this article
Cite this article
Souza, F.V., Allen, D.H. A model for predicting the multiscale crack growth due to an impact in heterogeneous viscoelastic solids. Mech Compos Mater 45, 145–152 (2009). https://doi.org/10.1007/s11029-009-9077-6
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11029-009-9077-6