Rashid K. Abu Al-Rub

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	1.	Voyiadjis, G.Z., Abu Al-Rub, R.K., Nonlocal Continuum Damage and Plasticity: Theory and Computation, World Scientific Publishing Co Pte Ltd., UK, 2008.
		This is a text book for graduate students and scientists interested in multi-scale theoretical and computational modeling of strain localization of damage and plasticity and modeling the problem of size effects at the micron, submicron, and nano scales.
	2.	Voyiadjis, G.Z. and Abu Al-Rub R.K., “Length Scales in Gradient Plasticity,” Solid Mechanics and its Applications: IUTAM Symposium on Multiscale Modeling and Characterization of Elastic-Inelastic Behavior of Engineering Materials, Edited by S. Ahzi, M. Cherkaoui, M. A. Khaleel, H. M. Zbib, M. A. Zikry, and B. LaMatina, Kluwer Academic Publishers, pp. 167-174, 2004.
	3.	Voyiadjis, G.Z., Venson, A.R., Abu Al-Rub, R.K. “Damage quantification in metal matrix composites,” Recent Advances in Experimental Mechanics, E.E. Gdoutos (ed.), Kluwer press, pp.109-120, 2002.



	21.	Abu Al-Rub, R.K., Voyiadjis, G.Z., Aifantis, E.C. “On the thermodynamics of higher-order gradient plasticity for size-effects at the micron and submicron length scales,” International Journal of Materials and Product Technology (in press).
	20.	Abu Al-Rub, R.K. “Thermodynamic framework for coupling of elasto-viscoplasticity and nonlocal anisotropic damage for microelectronics solder alloys,” International Journal of Materials and Structural Integrity, Vol. 2, No. 1/2, pp. 106-137, 2008.PDF
	19.	Abu Al-Rub, R.K., "Interfacial gradient plasticity governs scale-dependent yield strength and strain hardening rates in micro/nano structured metals,” International Journal of Plasticity, Vol. 24, No. 8, pp. 1277-1306, 2008.PDF
	18.	Abu Al-Rub, R.K., "Modeling the interfacial effect on the yield strength and flow stress of thin metal films on substrates,” Mechanics Research Communications, Vol. 35, No. 1-2, pp. 65-72, 2008. PDF
	17.	Voyiadjis, G.Z., Abu Al-Rub, R.K., Palazotto, A.N. “Constitutive modeling and simulation of perforation of steel plates by blunt projectile,” AIAA Journal, Vol. 46, No. 2, pp. 304-316, 2008. PDF
	16.	Voyiadjis, G.Z., Abu Al-Rub, R.K., "Nonlocal gradient-dependent thermodynamics for modeling scale dependent plasticity," International Journal for Multiscale Computational Engineering, Vol. 5, No. 3-4, pp. 295-323, 2007.PDF
	15.	Cicekli, U., Voyiadjis, G.Z., Abu Al-Rub, R.K., “A plasticity and anisotropic damage model for plain concrete,” International Journal of Plasticity, Vol. 23, No. 10-11, pp. 1874-1900, 2007.PDF
	14.	Abu Al-Rub, R.K. “Prediction of micro- and nano indentation size effect from conical or pyramidal indentation,” Mechanics of Materials, Vol. 39, No. 8, pp. 787-802, 2007. PDF
	13.	Abu Al-Rub, R.K., Voyiadjis, G.Z., and Bammann, D.J., “A thermodynamic based higher-order gradient theory for size dependent plasticity,” International Journal of Solids and Structures, Vol. 44, No. 9, pp. 2888–2923, 2007.PDF
	12.	Voyiadjis, G.Z., Abu Al-Rub, R.K., Palazotto, A.N. "On the small and finite deformation thermo-elasto-viscoplasticity theory: algorithmic and computational aspects," European Journal of Computational Mechanics (Revue Européenne de Mécanique Numérique), Vol. 15, No. 7-8, pp. 945-987, 2006.PDF
	11.	Voyiadjis, G.Z., Abu Al-Rub, R.K. “A finite strain plastic-damage model for high velocity impacts using combined viscosity and gradient localization limiters, Part II: Numerical aspects and simulations,” International Journal of Damage Mechanics, Vol. 15, No. 4, pp. 335–373, 2006.PDF
	10.	Abu Al-Rub, R.K., Voyiadjis, G.Z. “A finite strain plastic-damage model for high velocity impacts using combined viscosity and gradient localization limiters, Part I: Theoretical formulation,” International Journal of Damage Mechanics, Vol. 15, No. 4, pp. 293–334, 2006.PDF
	9.	Abu Al-Rub, R.K., Voyiadjis, G.Z. “A physically based gradient plasticity theory,” International Journal of Plasticity, Vol. 22, No. 4, pp. 654-684, 2006.PDF
	8.	Abu Al-Rub, R.K., Voyiadjis, G.Z. “A direct finite element implementation of the gradient plasticity theory,” International Journal for Numerical Methods in Engineering, Vol. 63, No. 4, pp. 603–629, 2005.PDF
	7.	Voyiadjis, G.Z., Abu Al-Rub, R.K. “Gradient plasticity theory with a variable length scale parameter,” International Journal of Solids and Structures, Vol. 42, No. 14, pp. 3998-4029, 2005.PDF
	6.	Abu Al-Rub, R.K., Voyiadjis, G.Z. “Determination of the material intrinsic length scale of gradient plasticity theory,” International Journal for Multiscale Computational Engineering, Vol. 2, No. 3, pp. 377-400, 2004.PDF
	5.	Abu Al-Rub, R.K., Voyiadjis, G.Z. “Analytical and experimental determination of the material intrinsic length scale of strain gradient plasticity theory from micro- and nano-indentation experiments,” International Journal of Plasticity, Vol. 20, No. 6, pp. 1139-1182, 2004.PDF
	4.	Voyiadjis, G.Z., Abu Al-Rub, R.K., Palazotto, A.N. “Thermodynamic formulations for non-local coupling of viscoplasticity and anisotropic viscodamage for dynamic localization problems using gradient theory,” International Journal of Plasticity, Vol. 20, No. 6, pp. 981-1038, 2004.PDF
	3.	Voyiadjis, G.Z., Abu Al-Rub, R.K. “Thermodynamic based model for the evolution equation of the backstress in cyclic plasticity,” International Journal of Plasticity, Vol. 19, No. 12, pp. 2121-2147, 2003.PDF
	2.	Abu Al-Rub, R.K., Voyiadjis, G.Z. “On the coupling of anisotropic damage and plasticity models for ductile materials,” International Journal of Solids and Structures, Vol. 40, No. 11, pp. 2611-2643, 2003.PDF
	1.	Voyiadjis, G.Z., Abu Al-Rub, R.K., Palazotto, A.N. “Non-local coupling of viscoplasticity and anisotropic viscodamage for impact problems using the gradient theory,” Archives of Mechanics, Vol. 55, No. 1, pp. 39-89, 2003.PDF



	29.	Abu Al-Rub, R.K., Kim, S.-M., “Multi-scale constitutive and computational modeling of hypervelocity impact damage of steel targets,” In. Collection of Technical Papers- AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, AIAA-2008-1743, 5 pages.
	28.	Abu Al-Rub, R.K., “Surface/interfacial effects on size dependent strength of micro/nano systems,” In. Collection of Technical Papers- AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, AIAA-2008-1946, 5 pages.
	27.	Abu Al-Rub, R.K., Voyiadjis, G.Z., “Modeling the size and interface effects in thin metal film-substrate systems using the strain gradient plasticity,” In. Proceedings of the ASME Applied Mechanics Division, 2007, 7 pages.
	26.	Abu Al-Rub, R.K., Voyiadjis, G.Z., Palazotto, A.N., “Micro-damage constitutive modeling and numerical simulation of targets by projectiles,” In. Proceedings of the ASME Applied Mechanics Division, 2007, 8 pages.
	25.	Abu Al-Rub, R.K., Voyiadjis, G.Z., “Modeling and simulation of the micromechanics of localized damage and fracture in inelastic solids at high speed impacts,” In. 18th ASCE Engineering Mechanics Division Conference, (EMD2007), Blacksburg, Virginia, 2007.
	24.	Abu Al-Rub, R.K., Voyiadjis, G.Z., “Surface/interface effects on size dependent plasticity in micro and nano systems,” In. 18th ASCE Engineering Mechanics Division Conference, (EMD2007), Blacksburg, Virginia, 2007.
	23.	Voyiadjis, G.Z., Abu Al-Rub, R.K., “The effect of surface or interface energy on size dependent plasticity at the micron and submicron length scales,” In. Materials Processing and Manufacturing Division Symposium: Mechanics and Materials Modeling and Materials Design Methodologies, in the Honor of Dr. Craig Hartley’s 40 years of Contributions to the Field of Mechanics and Materials Science, 2007 TMS Annual Meeting & Exhibition, 2007.
	22.	Voyiadjis, G.Z., Abu Al-Rub, R.K., “On the modeling of size dependent plasticity at the micron and submicron length scales,” In. PLASTICITY 2006, Halifax, Nova Scotia (Canada), July 17-22, 2006.
	21.	Voyiadjis, G.Z., Abu Al-Rub, R.K., Palazotto, A.N. “Modeling and simulation of perforation of steel plates by blunt projectile,” In. Collection of Technical Papers- AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, AIAA 2006-2089, Vol. 8, pp. 5928-5931, 2006.
	20.	Abu Al-Rub, R.K., Voyiadjis, G.Z., Palazotto, A.N. “A micro-damage model for high velocity impact using combined viscosity and gradient localization limiters,” In. Proceedings of the ASME Applied Mechanics Division, Vol. 256, pp. 123-130, 2005.
	19.	Abu Al-Rub, R.K., Voyiadjis, G.Z. “A dislocation based gradient plasticity theory with applications to size effects,” In. Proceedings of the ASME Applied Mechanics Division, Vol. 256, pp. 69-77, 2005.
	18.	Voyiadjis, G.Z., Abu Al-Rub, R.K., “Comparison of the strain localization approaches: Viscoplasticity theory and gradient dependent theory,” In. Proceedings of the ASME Applied Mechanics Division, Vol. 256, pp. 79-87, 2005.
	17.	Voyiadjis, G.Z., Abu Al-Rub, R.K., “Modeling plasticity in nanostructured materials,” In. Proceedings of the IEEE International Symposium on Intelligent Control, 2005 IEEE International Symposium on Intelligent Control and 13th Mediterranean Conference on Control and Automation, Vol. 1, pp. 119-124, 2005.
	16.	Abu Al-Rub, R.K., Voyiadjis, G.Z., Palazotto, A.N. “A micro-damage model for high velocity impacts using nonlocal theory,” In. Collection of Technical Papers- AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, AIAA 2005-2357, Vol. 10, pp. 6704-6708, 2005.
	15.	Voyiadjis, G.Z., Abu Al-Rub, R.K., “Theoretical framework for coupling of non-local damage and viscoplasticity for dynamic localization problems,” In. 11th International Conference on Fracture, Turin, Italy, March 2005.
	14.	Abu Al-Rub, R.K., Voyiadjis, G.Z. “Finite element implementation of a thermoviscoplastic model for ratcheting,” In. Proceedings of the ASME Applied Mechanics Division, Vol. 255, pp. 37-45, 2004.
	13.	Voyiadjis, G.Z., Abu Al-Rub, R.K. “A modified gradient plasticity theory for micro-bending and micro-torsion size effects,” In. Proceedings of the ASME, Micro-Electro Mechanical Systems Division (MEMS), pp. 233-242, 2004.
	12.	Voyiadjis, G.Z., Abu Al-Rub, R.K. “Multi-scale computational modeling of localization problems,” In. 6th World Congress on Computational Mechanics, September 2004, China, Tsinghua University Press & Springer-Verlag, pp. 13721-13726.
	11.	Voyiadjis, G.Z., Abu Al-Rub, R.K., Palazotto, A.N. “Nonlocal constitutive model for impact damage in metals,” In. 21st International Congress of Theoretical and Applied Mechanics, Warsaw, Poland, August 2004.
	10.	Voyiadjis, G.Z., Abu Al-Rub, R.K., Palazotto, A.N. “Determination of material length scale from microbending of thin films,” In. 17th ASCE Engineering Mechanics Conference, Newark, Delaware, June 2004.
	9.	Voyiadjis, G.Z., Abu Al-Rub, R.K. “Gradient plasticity with variable length scale parameters,” In. 17th ASCE Engineering Mechanics Conference, Newark, Delaware, June 2004.
	8.	Voyiadjis, G.Z., Abu Al-Rub, R.K., Palazotto, A.N. “A gradient-dependent constitutive model to simulate impact damage problem,” In. Collection of Technical Papers–45th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, AIAA 2004-1919, Vol. 6, pp. 4290-4295, 2004.
	7.	Abu Al-Rub, R.K., Voyiadjis, G.Z. “Determination of the material intrinsic length scale of gradient plasticity theory,” In. Tenth Annual International Conference on Composites/Nano Engineering, Edited by David Hui, New Orleans, Louisiana, July 2003, pp. 23-24.
	6.	Voyiadjis, G.Z., Abu Al-Rub, R.K., Palazotto, A.N. “Gradient-dependent viscoplasticity and viscodamage,” In. 16th ASCE Engineering Mechanics Conference, Seattle, Washington, July 2003.
	5.	Voyiadjis, G.Z., Abu Al-Rub, R.K., Palazotto, A.N. “Determination of the material intrinsic length scale of gradient plasticity theory,” In. 9th International Conference of Plasticity, Edited by A. S. Khan, Quebec, July 2003.
	4.	Voyiadjis, G.Z., Venson, A.R., Abu Al-Rub, R.K. “Damage quantification in metal matrix composites,” Recent Advances in Experimental Mechanics, E.E. Gdoutos (ed.), Kluwer press, pp.109-120, 2002.
	3.	Voyiadjis, G.Z., Abu Al-Rub, R.K. “Determination of the material intrinsic length scale of gradient plasticity theory,” In. The MACSI Symposium on Parameter Identification in Structural and Materials Engineering, Milano, Italy, November 2002.
	2.	Voyiadjis, G.Z., Abu Al-Rub, R.K., Araujo, M., “Thermodynamic consistent model for the evolutionary equation of the backstress in cyclic plasticity,” Plasticity, Damage and Fracture at Macro, Micro and Nano Scales, Proceedings of the Plasticity 2002, International Conference, Edited by A. S. Khan, and O. Lopez-Pamies, NEAT Press, Aruba, January 2002, pp. 96-98.
	1.	Voyiadjis, G.Z., Abu Al-Rub, R.K. (2004) “Length scales in gradient plasticity,” In. Proceedings of the IUTAM Symposium on Multiscale Modeling and Characterization of Elastic-Inelastic Behavior of Engineering Materials, Edited by S. Ahzi, M. Cherkaoui, M.A. Khaleel, H. M. Zbib, M. A. Zikry, and B. LaMatina, Morocco, Kluwer Academic Publishers, pp. 167-174, 2004.



9.	Voyiadjis, G.Z., Abu Al-Rub R.K. (2006) “Modeling and Simulation of Perforation of Steel Plates by Blunt Projectiles,” Report submitted to the Air Force Institute of Technology, WPAFB, Ohio.
8.	Voyiadjis, G.Z., Abu Al-Rub, R.K. (2005) "Modeling Impact Damage in Fighting Vehicles Due to Projectile Penetration” Final Report (2004-05),” MEFFV Project Office, Marine Corps Systems Command, AFSS PGD, Quantico, Virginia, September 2005, 218 pages.
7.	Voyiadjis, G.Z., Abu Al-Rub, R.K., Wang, L.B, Cicekli, U. (2005) “Modeling, Simulation, Visualization, and Damage Characterization for Penetration into a Concrete Target,” Report submitted to Waterways Experiment Station, Subcontract to Louisiana State University, Baton Rouge, Louisiana.
6.	Voyiadjis, G.Z., Abu Al-Rub, R.K. (2004) “Multi-scale Modeling and Simulation of Impact Damage Problems,” Report submitted to the Air Force Institute of Technology, WPAFB, Ohio.
5.	Voyiadjis, G.Z., Kattan, P.I., Abu Al-Rub, R.K., Almasri, A.H., Taqieddin, Z.N. (2004) "Feasibility Study for Modeling Impact Damage Using Fabric Tensors in Fighting Vehicles Due to Blast and/or Projectile Penetration” Final Report (2003-04),” MEFFV Project Office, Marine Corps Systems Command, AFSS PGD, Quantico, Virginia, September 2004, 98 pages.
4.	Voyiadjis, G.Z., Abu Al-Rub R.K. (2003) “Feasibility Study for Modeling Impact Damage in Fighting Vehicles Due to Blast and/or Hypervelocity Projectile Penetration,” for MEFFV Project Office, Tank Systems, MARCORSYSCOM, Quantico, VA.
3.	Voyiadjis, G.Z., Abu Al-Rub R.K. (2003) “Gradient Viscoinelasticity for Localization Under Dynamic Loading Processes,” Report submitted to the Air Force Institute of Technology, WPAFB, Ohio.
2.	Voyiadjis, G.Z., Abu Al-Rub, R.K. (2002) "Non-Local Coupling of Viscoplasticity and Rate-Dependent Damage for Impact Problems” Final Report (2001-02),” Air Force Institute of Technology, WPAFB, OH 45433, August 2002, 65 pages.
1.	Voyiadjis, G.Z., Abu Al-Rub, R.K. (2002) "Multi-Scale Modeling and Simulation of Impact Damage Problems” Final Report (2002-04),” Air Force Institute of Technology, WPAFB, OH 45433, August 2002, 95 pages.