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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access September 27, 2012

Impact damage assessment by using peridynamic theory

Erkan Oterkus, Ibrahim Guven and Erdogan Madenci
From the journal Open Engineering

Abstract

This study presents an application of peridynamic theory for predicting residual strength of impact damaged building components by considering a reinforced panel subjected to multiple load paths. The validity of the approach is established first by simulating a controlled experiment resulting in mixed-mode fracture of concrete. The agreement between the PD prediction and the experimentally observed behavior is remarkable especially considering the simple material model used for the concrete. Subsequently, the PD simulation concerns damage assessment and residual strength of a reinforced panel under compression after impact due to a rigid penetrator.

[1] Klein P.A., Foulk J.W., Chen E.P., Wimmer S.A., et al. Physics-based modeling of brittle fracture: Cohesive formulations and the application of meshfree methods, Theor. Appl. Fract. Mech., Vol. 37, 2001, 99–166 http://dx.doi.org/10.1016/S0167-8442(01)00091-X10.1016/S0167-8442(01)00091-XSearch in Google Scholar

[2] Moes N., Dolbow J., Belytschko T., A finite element method for crack growth without remeshing, Int. J. Numer. Meth. Eng., Vol. 46, 1999, 131–150 http://dx.doi.org/10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-JSearch in Google Scholar

[3] Zi G., Rabczuk T., Wall W., Extended Meshfree Methods without Branch Enrichment for Cohesive Cracks, Comput. Mech., Vol. 40, 2007, 367–382 http://dx.doi.org/10.1007/s00466-006-0115-010.1007/s00466-006-0115-0Search in Google Scholar

[4] Silling, S.A., Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces, J. Mech. Phys. Solid, Vol. 48, 2000, 175–209 http://dx.doi.org/10.1016/S0022-5096(99)00029-010.1016/S0022-5096(99)00029-0Search in Google Scholar

[5] Silling S.A, Epton M., Weckner O., Xu J., et al., Peridynamics States and Constitutive Modeling, J. Elasticity, Vol. 88, 2007, 151–184 http://dx.doi.org/10.1007/s10659-007-9125-110.1007/s10659-007-9125-1Search in Google Scholar

[6] Kilic B., Peridynamic Theory for Progressive Failure Prediction in Homogeneous and Heterogeneous Materials, Ph.D. dissertation, Department of Aerospace and Mechanical Engineering, Univ. Arizona, Tucson, Arizona, 2008 Search in Google Scholar

[7] Silling S.A., Dynamic Fracture Modeling with a Meshfree Peridynamic Code, Second MIT Conference on Computational Fluid and Solid Mechanics, edited K.J. Bathe, Elsevier, Amsterdam, 2003, 641–644 10.1016/B978-008044046-0.50157-3Search in Google Scholar

[8] Silling S.A., Askari, E., Peridynamic Modeling of Impact Damage, PVP, Vol. 489, edited by F.J. Moody, American Society of Mechanical Engineers, 2004, 197–205 10.1115/PVP2004-3049Search in Google Scholar

[9] Silling S.A., Askari, E., A Meshfree Method Based on the Peridynamic Model of Solid Mechanics, Computers and Structures, Vol. 83, 2005, 1526–1535 http://dx.doi.org/10.1016/j.compstruc.2004.11.02610.1016/j.compstruc.2004.11.026Search in Google Scholar

[10] Gerstle W., Sau N., Silling S., Peridynamic modeling of concrete structures, Nucl. Eng. Des., Vol. 237,Issues 12–13, July 2007, 1250–1258 http://dx.doi.org/10.1016/j.nucengdes.2006.10.00210.1016/j.nucengdes.2006.10.002Search in Google Scholar

[11] Silling S.A., Bobaru F., Peridynamic Modeling of Membranes and Fibers, Int. J. Non. Lin. Mech., Vol. 40, 2005, 395–409 http://dx.doi.org/10.1016/j.ijnonlinmec.2004.08.00410.1016/j.ijnonlinmec.2004.08.004Search in Google Scholar

[12] Askari E., Xu J., Silling S., Peridynamic Analysis of Damage and Failure in Composites, 44th AIAA/ASME/ASCE/AHS/ASC Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 2006, AIAA 2006-88 10.2514/6.2006-88Search in Google Scholar

[13] Colavito K.W., Kilic B., Celik E., Madenci E., Effect of Void Content on Stiffness and Strength of Composites by a Peridynamic Analysis and Static Indentation Test, 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Honolulu, Hawaii, 2007, Paper No. 2007-2251 10.2514/6.2007-2251Search in Google Scholar

[14] Xu J., Askari A., Weckner O., Razi H., Silling S., Damage and Failure Analysis of Composite Laminates under Biaxial Loads, 48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Honolulu, Hawaii, 2007, AIAA 2007-2315 10.2514/6.2007-2315Search in Google Scholar

[15] Warren T.L., Silling S.A., Askari A., Weckner O., et al., A Non-ordinary State-based Peridynamic Method to Model Solid Material Deformation and Fracture, Int. J. Solid Struct., Vol. 46, 2009, 1186–1195 http://dx.doi.org/10.1016/j.ijsolstr.2008.10.02910.1016/j.ijsolstr.2008.10.029Search in Google Scholar

[16] Foster J.T., Silling S.A., Chen W.W., Viscoplasticity Using Peridynamics, Sandia Report, SAND2008-7835, 2008 Search in Google Scholar

[17] Kilic B., Agwai A., Madenci E., Peridynamic Theory for Progressive Damage Prediction in Centre-Cracked Composite Laminates, Compos. Struct., Vol. 90,Issue 2, 2009, 141–151 http://dx.doi.org/10.1016/j.compstruct.2009.02.01510.1016/j.compstruct.2009.02.015Search in Google Scholar

[18] Kilic B., Madenci E., Structural Stability and Failure Analysis Using Peridynamic Theory, Int. J. Non. Lin. Mech., Vol. 44,Issue 8, 2009, 845–854 http://dx.doi.org/10.1016/j.ijnonlinmec.2009.05.00710.1016/j.ijnonlinmec.2009.05.007Search in Google Scholar

[19] Gálvez J.C., Elices M., Guinea G.V., Planas J., Mixed mode fracture of concrete under proportional and nonproportional loading, Int. J. Fract., 94: 267–284, 1998 http://dx.doi.org/10.1023/A:100757881407010.1023/A:1007578814070Search in Google Scholar

[20] EMU website, http://www.sandia.gov/emu/emu.htm Search in Google Scholar

[21] Ha Y.D., Bobaru F., Characteristics of dynamic brittle fracture captured with peridynamics, Eng. Fract. Mech., Vol. 78, 2011, 1156–1168 http://dx.doi.org/10.1016/j.engfracmech.2010.11.02010.1016/j.engfracmech.2010.11.020Search in Google Scholar

[22] Demmie P.N., Silling S.A., An approach to modeling extreme loading of structures using peridynamics, J. Mech. Mater. Struct., Vol. 2, 2007, 1921–1945 http://dx.doi.org/10.2140/jomms.2007.2.192110.2140/jomms.2007.2.1921Search in Google Scholar

Published Online: 2012-9-27
Published in Print: 2012-12-1

© 2012 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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