Computational Mechanics

We are interested in developing computational constitutive models for inelastic materials especially under large deformations with focus on ductile metals, multifunctional shape memory polymers, elastomers and higher order materials. In particular, we are working on employing high-fidelity nonlocal constitutive models for response predictions and for topology design with these functionally adaptive materials. We are also interested in development of computational algorithms for such complex systems. Selected topics of interest:

Micromechanical modeling damage and failure in structural steels
Computational homogenization methods
Nonlinear solution methods and higher order root solvers
Damage mechanics and nonlocal theories
Viscoplasticity, viscoelasticity and creep in materials

Selected Publications:

Zhang, G. and Khandelwal, K. (2016). "Modeling of Nonlocal Damage-Plasticity in Beams using Isogeometric Analysis." Computers & Structures. Vol. 165, Pg. 76-95 (DOI).
Kiran R. and Khandelwal, K. (2015). "A Coupled Microvoid Elongation and Dilation Based Ductile Fracture Model for Structural Steels." Engineering Fracture Mechanics, Vol. 145, pg. 15-42. (DOI).
Li, L. and Khandelwal, K. (2015). "Topology Optimization of Structures with Length-scale Effects using Elasticity with Microstructure Theory." Computers & Structures. Vol. 157, pg. 165-177. (DOI).
Kiran, R., Li, L. and Khandelwal, K. (2015). "Performance of Cubic Convergent Methods for Implementing Nonlinear Constitutive Models." Computers & Structures. Vol. 156, pg. 83-100. (DOI).
Kiran, R. and Khandelwal, K. (2015), "Automatic Implementation of Finite Strain Anisotropic Hyperelastic Models using Hyper-dual Numbers." Computational Mechanics. Vol. 55, Issue 1, pg. 229-248. (DOI).
Kiran, R. and Khandelwal, K. (2015), "A Micromechanical Cyclic Void Growth Model for Ultra-low Cycle Fatigue." International Journal of Fatigue. Vol. 70, pg. 24-37. (DOI).
Cowan, M. and Khandelwal, K. (2014), "Modeling of High Temperature Creep in ASTM A992 Structural Steels." Engineering Structures. Vol. 80, pg. 426-434. (DOI).
Kiran, R. and Khandelwal, K. (2014), "A Triaxiality and Lode Parameter Dependent Ductile Fracture Criterion." Engineering Fracture Mechanics. Vol. 128, pg. 121-138. (DOI).
Kiran, R. and Khandelwal, K. (2014), "Numerically Approximated Cauchy Integral (NACI) for Implementation of Constitutive Models." Finite Elements in Analysis and Design. Vol. 89, pg. 33-51. (DOI).
Kiran, R. and Khandelwal, K. (2014), "Complex Step Derivative Approximation for Numerical Evaluation of Tangent Moduli." Computers & Structures. Vol. 140, pg. 1-13. (DOI).
Khandelwal, K. and El-Tawil. S. (2014). "A Finite Strain Continuum Damage Model for Simulating Ductile Fracture in Steels." Engineering Fracture Mechanics, Vol. 116, pg. 172-189. (DOI).
Kiran, R. and Khandelwal, K. (2014). "Fast-to-compute Weakly Coupled Ductile Fracture Model for Structural Steels." Journal of Structural Engineering. Vol. 140(6), 04014018. (DOI).
Kiran, R. and Khandelwal, K. (2014), "Gurson Model Parameters for Ductile Fracture Simulation in ASTM A992 Steels." Fatigue & Fracture of Engineering Materials & Structures, Vol. 37 (2), pg. 171-183. (DOI).
Kiran, R. and Khandelwal, K. (2013), "A Micromechanical Model for Ductile Fracture Prediction in ASTM A992 Steels." Engineering Fracture Mechanics, Vol. 101, pg. 102-117.(DOI).

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