Towards a virtual functionally graded foam: Defining the large strain constitutive response of an isotropic closed cell polymeric cellular solid

International Journal of Engineering Science

Volumn 48, Issue 11, 2010, Pages 1373-1386

  Kiernan, Stephen ^a   Gilchrist, Michael D ^a,b  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

^b UNIVERSITY OF OTTAWA   (Canada)

Author keywords

ABAQUS; Cellular; Constitutive; Density; Finite element; Foam

Indexed keywords

CELL SIZE; CELLULAR; CELLULAR SOLIDS; CLOSED CELL FOAMS; CLOSED CELLS; COMPRESSIVE RESPONSE; CONSTITUTIVE; CONSTITUTIVE PROPERTIES; DENSITY; DYNAMIC CONDITION; ENGINEERED MATERIALS; EPS FOAMS; EXPANDED POLYSTYRENE FOAMS; EXPERIMENTAL DATA; FINITE ELEMENT; FOAM MATERIAL; FUNCTIONALLY GRADED; HARDENING LAWS; LARGE STRAINS; LAYERED FINITE ELEMENTS; MICRO-STRUCTURAL; MICROSTRUCTURAL FEATURES; MODELLING APPROACHES; NON-UNIFORM DISTRIBUTION; POTENTIAL BENEFITS; REINFORCEMENT PHASE; YOUNG'S MODULUS;

ABAQUS; FINITE ELEMENT METHOD; FUNCTIONAL POLYMERS; MICROSTRUCTURAL EVOLUTION; POLYSTYRENES;

FUNCTIONALLY GRADED MATERIALS;

EID: 78649636362     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2010.09.004     Document Type: Article

References (28)

1. T. Hirai Functionally Gradient Materials 1996 VCH Verlagsgesellschaft mbH Publishers
2. L. Cui, S. Kiernan, and M.D. Gilchrist Designing the energy absorbing capacity of functionally graded foam materials Materials Science and Engineering A 507 2009 215 225
3. S. Kiernan, L. Cui, and M.D. Gilchrist Propagation of a stress wave through a functionally graded foam International Journal of Non-Linear Mechanics 44 2009 456 468
4. K.C. Rusch Load-compression behaviour of flexible foams Journal of Polymer Science 13 1969 2297 2311
5. E.A. Meinecke, and D.M. Schwaber Energy absorption in polymeric foams. I. Prediction of impact behavior from Instron data for foams with rate-independent modulus Journal of Applied Polymer Science 14 1970 2239 2248
6. A. Nagy, W.L. Ko, and U.S. Lindholm Mechanical behavior of foamed materials under dynamic compression Journal of Cellular Plastics 10 1974 127 134
7. J.A. Sherwood, and C.C. Frost Constitutive modeling and simulation of energy absorbing polyurethane foam under impact loading Polymer Engineering Science 32 1992 1138 1146
8. L.J. Gibson, and M.F. Ashby Cellular Solids: Structures and Properties second ed. 1997 Cambridge University Press
9. V.S. Despande, and N.A. Fleck Isotropic constitutive models for metallic foams Journal of the Mechanics and Physics of Solids 48 2000 1253 1283
10. V.S. Despande, and N.A. Fleck Multi-axial yield behavior of polymer foams Acta Materialia 49 2001 1859 1866
11. S. Shahbeyk, N. Petrinic, and A. Vafai Numerical modelling of dynamically loaded metal foam-filled square columns International Journal of Impact Engineering 34 2007 573 586
12. A. Reyes, O.S. Hopperstad, T. Berstad, A.G. Hanssen, and M. Langseth Constitutive modeling of aluminum foam including fracture and statistical variation of density European Journal of Mechanics - A/Solids 22 2003 815 835
13. A.G. Hanssen, O.S. Hopperstad, M. Langseth, and H. Ilstad Validation of constitutive models applicable to aluminium foams International Journal of Mechanical Sciences 44 2002 359 406
14. R. Bouix, P. Viot, and J.L. Lataillade Polypropylene foam behaviour under dynamic loadings: strain rate, density and microstructure effects International Journal of Impact Engineering 36 2009 329 342
15. Q. Liu, and G. Subhash A phenomenological constitutive model for foams under large deformations Polymer Engineering Science 44 2004 463 473
16. M.H. Santare, and J. Lambros Use of graded finite elements to model the behavior of nonhomogeneous materials Journal of Applied Mechanics 67 2000 819 822
17. J.H. Kim, and G.H. Paulino Isoparametric graded finite elements for nonhomogeneous isotropic and orthotropic materials Journal of Applied Mechanics 69 2002 502 514
18. Z. Zhang, and G.H. Paulino Wave propagation and dynamic analysis of smoothly graded heterogeneous continua using graded finite elements International Journal of Solids and Structures 44 2007 3601 3626
19. J. Zhang, N. Kikuchi, V. Li, A. Yee, and G. Nusholtz Constitutive modeling of polymeric foam material subjected to dynamic crash loading International Journal of Impact Enginering 21 1998 369 386
20. M.W. Schraad, and F.H. Harlow A stochastic constitutive model for disordered cellular materials: finite-strain uni-axial compression International Journal of Solids and Structures 43 2006 3542 3568
21. ABAQUS User Manual v6.7., Dassault Systémes, 2007.
22. S. Kiernan, L. Cui, and M.D. Gilchrist A numerical investigation of the dynamic behaviour of functionally graded Foams B. Dattaguru, IUTAM Symposium on Multi-Functional Material Structures & Systems 2010 Springer 15 24
23. H.L. Schreyer, Q.H. Zuo, and A.K. Maji Anisotropic plasticity model for foams and honeycombs Journal of Mechanical Engineering 120 1994 13 31
24. IS. EN 1384: 1996 Specification for helmets for equestrian activities, Dublin, National Standards Authority of Ireland, 1996.
25. IS. EN 14572:2005: High performance helmets for equestrian activities, Dublin, National Standards Authority of Ireland, 2005.
26. M.A. Forero Rueda, L. Cui, and M.D. Gilchrist Optimisation of energy absorbing liner for equestrian helmets. Part I: Layered foam liner Journal of Materials and Design 30 2009 3405 3413
27. L. Cui, M.A. Forero Rueda, and M.D. Gilchrist Optimisation of energy absorbing liner for equestrian helmets. Part II: Functionally graded foam liner Journal of Materials and Design 30 2009 3414 3419
28. W.Y. Jung, A.M. Kraynik, and S. Kyriakides On the microstructure of open-cell foams and its effect on elastic properties International Journal of Solids and Structures 45 2008 1845 1875