Graduate Program in Computational and Continuum ...

Graduate Program in Computational and Continuum Mechanics . Mechanical Engineering Department - The University of Kansas

Degrees Offered

Computational Mathematics and Computational Mechanics:

The Computational and Continuum Mechanics Program offers: • Master

of Science (M.S.) in Mechanical Eng. • Doctor of Philosophy (Ph.D.) in Mechanical Eng.

Computational Mechanics Laboratory (CML) The Computational Mechanics Laboratory (CML) located in 3124 Learned Hall is the focal point of computational and continuum mechanics research and development in: Linear and non-linear solid mechanics, structural mechanics and composite mechanics. Fluid dynamics: Newtonian, generalized Newtonian and viscoelastic fluids, gas dynamics. Error estimation, h-, p-adaptive methods. Numerical simulation of moving fronts such: as elastic and inelastic wave propagation in isotropic, orthotropic and composite materials, acoustic waves, low speed and high speed compressible flows, reacting flows, fluid-structure interaction. Constitutive theories, mixture theories, continuum models for fluid-solid interaction physics and shape memory materials.

Areas of Research Various research and development activities in the Laboratory foster new methodologies, innovative algorithms for computational formulations and techniques primarily focused in the finite element area. The nature of the laboratory, breath of various diverse research activities, expertise of the individuals involved, availability of up-to-date computing facilities and many software tools provide an attractive, conducive and efficient environment for research and development in various areas of continuum mechanics, computational mathematics, computational mechanics and computational solid mechanics, fluid and gas dynamics. Continuum Mechanics: Mathematical models for multi-physics interaction such as fluid-solid, mixture theories, shape memory materials and constitutive theories.

Journal Articles Published (2010 - present)

The Faculty and Staff • Karan

Mathematics of computations, methods of approximations with emphasis on finite element processes, higher order continuity interpolations, error estimation, convergence rates, adaptivity and moving mesh methodologies. Development of concepts, methodologies, techniques, formulations, algorithms, software systems, and computational methods in different areas of continuum mechanics involving solids, fluids and gases. Computational Solid Mechanics, Fluid and Gas Dynamics: Newtonian and generalized Newtonian fluid flows, high speed compressible flows including high pressure, high temperature gas dynamics with real gas models and variable transport properties, flows of polymeric viscoelastic fluids using various constitutive models. Solid mechanics, structural mechanics, composite mechanics and viscoelastic solid mechanics for finite deformation. Delamination, free edge effects, intermedia behavior, damping assessment and damage mechanics in composites. Impact and wave propagation.

Core Curriculum The Computational and Continuum Mechanics Program provides students with the fundamental knowledge to develop and apply logical thinking and innovative approaches for professional competence in the areas of Continuum Mechanics, Computational Mathematics and Computational Solid Mechanics, Fluid and Gas Dynamics. The curriculum consists of the following fundamental theory courses complemented with elective courses dictated by the area of research of the student. • First Semester (Fall) ME 840: Continuum Mechanics I ME 861: Mathematics of Computations and Finite Element Method for Boundary Value Problems MATH 647: Applied Partial Differential Equations • Second Semester (Spring) ME 841: Continuum Mechanics II ME 862: Mathematics of Computations and Finite Element Method for Initial Value Problems MATH 648: Calculus of Variations • Third Semester and Beyond Electives courses and thesis hours

S. Surana: Deane E. Ackers Distinguished Professor Director of the Computational and Continuum Mechanics Program Office: 3138 Learned Hall

• Robert

Sorem: Associate Professor and Graduate Director Office: 3120 Learned Hall

• Peter

W. TenPas: Associate Professor Office: 3143 Learned Hall

• Daniel

Nunez: Post-Doctoral Researcher Office: 3130 Learned Hall

M.S. Students Graduated (56) Charles Huels 1987, Louqmane Tidjani 1987, Robert Sorem 1987, Ghanem Abusaleh 1988, Nilus Orth 1988, Tung Nguyen 1988, Yong Guo 1989, Mansour Ahmadian 1990, Keun Teong 1990, Abhijit Bose 1992, Hungchu Chen 1992, Nathan Edgar 1992, Chung Ling 1992, Andrew Koilpillai 1992, Paul Hancock 1992, Pal Fadum 1993, Larry Musson 1993, Zhirong Feng 1993, Harris Dalimunthe 1993, Ginn Gan 1993, Jason Pappalexis 1993, Jaspal Sandhu 1994, Krishnakumar Vijayaraghavan 1994, Feng Xie 1996, Young Sabina 1996, Tamin Arif 1996, Kyle Johnson 1997, Stephane Petti 1998, Max Bona 1999, Hoang Nguyen 2002, Liliana Ortega 2002, Po Woaiken 2002, Srikanth Allu 2003, Shweta Bhola 2004, Amanullakhan Mohammed 2004, Kedar Deshpande 2004, Abhijit Dumbre 2004, Rajesh Maduri 2004, Priyank Gupta 2004, Richard Mahanti 2004, Monte Engelkamier 2005, Anthoniraj Laurdhusamy 2005, John Kane 2006, Tyler Stone 2007, Daniel Nunez 2008, Tristan Moody 2008, Laurie Euler 2010, Michael Truex 2010, Jason Carter 2011, Luis Quiros 2012, Kayla Klein 2012, Yusshy Mendoza 2012, Michael Powell 2012, Aaron Joy 2013, Brian Blackwell 2013, Thomas Hirst 2013

Ph.D. Students Graduated (24) Kalim Perwez 1986, Robert Phillips 1986, Taghak Rahmatollah 1987, Steve Nguyen 1990, Robert Sorem 1991, Nilus Orth 1991, Fabian Orth 1992, Hsuan Liu 1992, Daniel Winterscheidt 1992, Brent Bell 1993, Kieng Wong 1996, Masud Bagheri 1997, Tiraz Birdie 1998, David Van Dyne 1999, Hebri Nayak 2001, Brad Edgar 2002, Ali Ahmadi 2003, Srikanth Allu 2008, Kedar Deshpande 2008, Rajesh Maduri 2008, Salahi Basaran 2008, Yongting Ma 2011, Daniel Nunez 2012, Tristan Moody 2013

K.S. Surana, Y.T. Ma, A. Romkes, J.N. Reddy Development of Mathematical Models and Computational Framework for Multi-Physics Interaction Processes, Mech. Adv. Mater. Struct., Vol. 17, 2010. 2 K.S. Surana, Y.T. Ma, A. Romkes, J.N. Reddy The Rate Constitutive Equations and their Validity for Progressively Increasing Deformation, Mech. Adv. Mater. Struct., Vol. 17, 2010. 3 K.S. Surana, J.N. Reddy, and A. Romkes h, p, k Mathematical and Computational F.E. Framework for BVPs and IVPs, Acta Mech. Solida Sin., Vol. 23, 2010. 4 K.S. Surana, L. Euler, J.N. Reddy, A. Romkes Methods of Approximation in h, p, k Framework for ODEs in Time Resulting from Decoupling of Space and Time in IVPs, Am. J. of Comput. Math., Vol. 1, 2011. 5 K.S. Surana, D. Nunez, J.N. Reddy, A. Romkes Rate Constitutive Theories for Ordered Thermoelastic Solids, Ann. Solid Struct. Mech., Vol. 3, 2012. 6 K.S. Surana, Y.T. Ma, J.N. Reddy, A. Romkes, Fluid-Solid Interaction of Incompressible Media using h, p, k Mathematical and Computational Framework, Comput. Meth. Eng. Sci. Mech., Vol. 13, 2012. 7 K.S. Surana, Y.T. Ma, J.N. Reddy, A. Romkes Computation of Evolution for Isothermal Viscous, Viscoelastic Flow, Comp. Meth. Eng. Sci. Mech., Vol. 13, 2012. 8 K.S. Surana, Y. Mendoza, J.N. Reddy Constitutive Theories for Thermoelastic Solids in Lagrangian Description using Gibbs Potential, Acta Mech., Vol. 224, 2013. 9 K.S. Surana, M. Powell, J.N. Reddy A Simple Mixture Theory for ν Newtonian and Generalized Newtonian Constituents, Cont. Mech. Therm., Vol. 26, 2013. 10 K.S. Surana, D. Nunez, J.N. Reddy, A. Romkes Rate Constitutive Theories for Ordered Thermofluids, Cont. Mech. Therm., Vol. 26, 2013. 11 K.S. Surana, D. Nunez, J.N. Reddy, A. Romkes Rate Constitutive Theories for Ordered Thermo-viscoelastic Fluids - Polymers, Cont. Mech. Therm., Vol. 26, 2013. 12 K.S. Surana, T. Moody, J.N. Reddy Ordered Rate Constitutive Theories in Lagrangian Description for Thermoviscoelastic Solids without Memory, Acta Mech., Vol. 225, 2013. 13 K.S. Surana, T. Moody, J.N. Reddy Rate Constitutive Theories of Order Zero in Lagrangian Description for Thermoelastic Solids, Mech. Adv. Mater. Struct., 2014. 14 K.S. Surana, T. Moody, J.N. Reddy Rate Constitutive Theories in Lagrangian Description for Thermoviscoelastic Solids with Memory, Acta Mech., 2014. 15 K.S. Surana, K. Reedy, A. Joy, J.N. Reddy Riemann shock tube: 1D Normal Shocks in Air, Simulations and Experiments, Int. J. of Comp. Fluid Dyn., 2014. 16 K.S. Surana, B. Blackwell, M. Powell, J.N. Reddy Mathematical Models for Fluid-Solid Interaction and their Numerical Solutions, J. of Fluids and Struct., 2014. 17 K.S. Surana, A. Joy, L. Quiros, J.N. Reddy Mathematical Models and Numerical Solutions of Liquid-Solid and Solid-Liquid Phase Change, J. of Thermal Eng., 2014. 1