Abstract
The microstructure of chain-mail (CM) armor consists of a network of small links that are connected together to form a sheet. A network-type model, amenable to straightforward numerical simulation, is formulated, where the links are modeled as supporting only axial (tensile) loading, and where the interconnections are idealized as three-dimensional frictionless pin-joints. Because of its use as a ballistic shield, the strain-rate dependent thermo-mechanical (viscoplastic) response is important, due to thermal softening. The philosophy behind the proposed direct modeling approach is to harness the dramatic increases in readily available scientific computing to simulate realistic responses of structural CM, by starting directly at the microscale, where relatively simple description of the material is possible. By employing enough of these simple structural elements, one can build an entire macroscale sheet of CM. The deformation of the CM is dictated by solving a (“link-coupled”) system of differential equations for the motion of the interconnected masses. Large-scale simulations, illustrating the thermomechanical response of chain-mail material armor, undergoing impact with a rigid indenter, are presented to illustrate the potential of the approach in delivering realistic responses, involving dynamic rupture and penetration of structural CM.
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References
Zohdi T.I.: Modeling and simulation of progressive penetration of multilayered ballistic fabric shielding. Computational Mechanics 29, 61–67 (2002)
Zohdi T.I., Powell D.: Multiscale construction and large-scale simulation of structural fabric undergoing ballistic impact. Comput. Methods Appls. Mech. Engrg 195, 94–109 (2006)
Shim V. P. W., Tan V. B. C., and Tay T. E. Modelling deformation and damage characteristics of woven fabric under small projectile impact. International Journal of Impact Engineering, 16(4):585–605, August 1995.
Cheeseman B. A. and Bogetti T. A. Ballistic impact into fabric and compliant composite laminates. Composite Structures, 61(1-2):161 – 173, 2003. Impact on Composites 2002.
Duan Y., Keefe M., Bogetti T.A., Cheeseman B.A.: Modeling the role of friction during ballistic impact of a high-strength plain-weave fabric. Composite Structures 68(3), 331–337 (2005)
Duan Y., Keefe M., Bogetti T.A., Cheeseman B.A.: Modeling friction effects on the ballistic impact behavior of a single-ply high-strength fabric. International Journal of Impact Engineering 31(8), 996–1012 (2005)
Duan Y., Keefe M., Bogetti T.A., Powers B.: Finite element modeling of transverse impact on a ballistic fabric. International Journal of Mechanical Sciences 48(1), 33–43 (2006)
Tan V.B.C., Shim V.P.W., and Zeng X. Modelling crimp in woven fabrics subjected to ballistic impact. International Journal of Impact Engineering, 32(1-4):561 – 574, 2005. Fifth International Symposium on Impact Engineering.
Tabiei A., Nilakantan G.: Ballistic impact of dry woven fabric composites: A review. Applied Mechanics Reviews 61(1), 010801 (2008)
Buchholdt H. A., Davies M., Hussey M.J.L.: The analysis of cable nets. J.Inst. Maths. Applics 4, 339–358 (1968)
Atai A.A., Steigmann D.J.: On the nonlinear mechanics of discrete networks. Arch. Appl. Mech 67, 303–319 (1997)
Atai A.A., Steigmann D.J.: Coupled deformations of elastic curves and surfaces. Int. J. Solids Struct 35, 1915–1952 (1998)
Zohdi T.I.: A computational framework for network modeling of fibrous biological tissue deformation and rupture. Computer Methods in Applied Mechanics and Engineering 196, 2972–2980 (2007)
Park K. C. and Felippa C. A. Partitioned analysis of coupled systems in: Chapter 3 of Computational Methods for Transient Analysis, ed. by T. Belytschko and T. J. R. Hughes, pages 821–840. North Holland, Amsterdam, 1983.
Zienkiewicz O. C. Numerical methods in coupled systems, ed. by R. W. Lewis, P. Bettess and E. Hinton, chapter Coupled problems and their numerical solution, pages 35–48. Wiley, London, 1984.
Zohdi T. I. and Wriggers P. An Introduction to Computational Micromechanics, volume 20. Springer, 2nd edition, 2005.
Zohdi T.I.: High-speed impact with electromagnetically sensitive fabric and induced projectile spin. Computational Mechanics 46, 399–415 (2010)
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Mseis, G.N., Zohdi, T.I. Micromechanical Modeling and Numerical Simulation of Chain-Mail Armor. Int J Fract 170, 183–190 (2011). https://doi.org/10.1007/s10704-011-9608-8
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DOI: https://doi.org/10.1007/s10704-011-9608-8