Publications

Books              

  • Kim N. H, Kumar A. V., and Snider H. F., 2014, Geometry of Design, A workbook, Woodhead Publishing in Mechanical Engineering, Cambridge, UK
  • Kim N. H., Sankar B. V., and Kumar A. V., Introduction to Finite Element Analysis and Design, 2nd Edition, John Wiley & sons, NJ, USA.
  • Kumar A. V., Suh N. P., Kim N., Arakere N. K., 2005, Chap. 11, The CRC handbook of Mechanical Engineering, 2nd Edition, eds. Kreith and Goswami, CRC Press, New York.

Publications

Immersed Boundary Finite Element Method (IBFEM)

  • Kumar, A. V., 2020, “Survey of Immersed Boundary Approaches for Finite Element Analysis”, Journal of Computing and Information Science in Engineering, 20(4): 041003-1-041003- 13. DOI: 10.1115/1.4045054
  • Burla, R. and Kumar, A. V., 2008, “Implicit boundary method for analysis using uniform B-spline basis and structured grid”, International Journal for Numerical Methods in Engineering, Vol 76, No. 13 pp. 1993-2028. DOI: 10.1002/nme.2390
  • Kumar, A. V., Burla R., Padmanabhan S. and Gu L., 2008, “Finite element analysis using non-conforming mesh”, Journal of Computing and Information Science in Engineering, Transactions of ASME, Vol. 8., No. 3, 031005 (11 pages) doi:10.1115/1.2956990
  • Kumar, A. V., Padmanabhan S. and Burla, R. K., 2008, “Implicit boundary method for finite element analysis using non-conforming mesh or grid”, International Journal for Numerical Methods in Engineering, Vol. 74, No. 9, pp. 1421-1447. DOI: 10.1002/nme.2216
IBFEM: Shell elements
  • Hoover, A. V. Kumar, Immersed boundary Mindlin-Reissner 3D shell element for modeling isotropic and laminated composite shells, Finite Elem. Anal. Des. 208 (2022) 103794. https://doi.org/10.1016/j.finel.2022.103794
  • Hoover, A. V. Kumar, Immersed boundary thin shell analysis using 3D B-Spline background mesh, Finite Elem. Anal. Des. 195 (2021) 103574. https://doi.org/10.1016/j.finel.2021.103574
  • Periyasamy, Premdheepak S. and Kumar, Ashok V., “Mesh independent analysis of shell-like structures”, International Journal for Numerical Methods in Engineering, Volume 91, Issue 5, Pages 472-490, 2012, DOI:10.1002/nme.4278.
  • Chen, Hailong and Kumar Ashok V., 2014, “Method for imposing boundary conditions on Reissner-Mindlin plates for analysis using structured background mesh”, Computers and Structures, Vol. 138, pp. 1-11, 2014. DOI. 10.1016/j.compstruc.2014.02.004.
IBFEM: Dynamic Simulation
  • Menon, S. and Kumar A. V., 2020, “Isoparametric B-spline Elements for Immersed Boundary Explicit Dynamic Simulation”, Journal of Computing and Information Science in Engineering, Vol. 20(4), pp. 041010-1- 041010-12. DOI: 10.1115/1.4046338.
  • Zhang Z. and Kumar AV., Immersed boundary modal analysis and forced vibration simulation using step boundary method. Finite Element Analysis and Design, 126 (2017) 1-12.
  • Luthra, S., Zhang Z., Haftka, R.T, and Kumar A.V., 2013, “Tailoring Flapping Wings to Facilitate Desired Deformed Shapes”, AIAA J., Vol. 51, no. 8, pp. 2032-2035. DOI: 10.2514/1.J052298
IBFEM: MAGNETOSTATICS
  • Zhang, Sung-Uk and Kumar Ashok V., 2011, “3D Magnetostatic Analysis Using Structured Mesh and Nodal Elements”, IEEE Transactions on Magnetics, vol. 47, no. 1, pp. 198-206.
  • Zhang Sung-Uk and Kumar Ashok V., 2010, “Magnetostatic Analysis Using Implicit Boundary Finite Element Method”, IEEE Transactions on Magnetics, vol. 46, No. 5, pp. 1159-1166.

Energetic Materials

  • Yakaboski, O. and Kumar A. V., 2017, “Influence of Anvil Properties on RDX Thin Layer Ignition Behavior”, Propellants, Explosives and Pyrotechnics, vol. 42, pp. 438-447. DOI: 10.1002/prep.201600301.
  • Yakaboski, A. V. Kumar, Modeling and Simulation of RDX Powder Thermo‐Mechanical Response to Drop Impact, Propellants, Explos. Pyrotech. (2021) prep.202000336. https://doi.org/10.1002/prep.202000336

Topology Optimization

  • Kumar, A. V., 2019, “Conceptual Design of Structures Using an Upper Bound of von Mises Stress”, Journal of Computing and Information Science in Engineering, 19, pp. 011005-(13 pages) DOI: 10.1115/1.4041705
  • Kumar, Ashok V. and Parthasarathy, Anand, “Topology optimization using B-spline finite elements”, Structural and Multidisciplinary Optimization, 2011, Volume 44, Number 4, Pages 471-481, DOI 10.1007/s00158-011-0650-y.
  • Kumar Ashok V., “A sequential optimization algorithm using logarithmic barriers: Applications to structural optimization”, Journal of Mechanical Design, Transactions of the ASME, vol. 122, no. 3, 2000, pp. 271-277.
  • Kumar, A. V. and Gossard, D. C., “Synthesis Of Optimal Shape And Topology Of Structures”, Journal of Mechanical Design, Transaction of ASME, vol. 118, no. 1, 1996, pp. 68-74.
  • Kumar, Ashok V. and Gossard, David, “Geometric modeling for shape and topology optimization”, Geometric Modeling for Product Realization, Eds. P. R. Wilson, M. J. Wozny and M. J. Pratt, IFIP transactions, B-8, 1993, pp. 81-94.

Composite Material Modeling

  • Burla R., Kumar A. V., Sankar B.V., 2009, “Implicit boundary method for determination of effective properties of composite microstructures”, International Journal of Solids and Structures, vol. 46, pp. 2514–2526, doi:10.1016/j.ijsolstr.2009.02.003
  • Hoover, A. V. Kumar, Immersed boundary Mindlin-Reissner 3D shell element for modeling isotropic and laminated composite shells, Finite Elem. Anal. Des. 208 (2022) 103794. https://doi.org/10.1016/j.finel.2022.103794

Inverse Methods

  • Zhang Sung-Uk and Kumar Ashok V., 2010, “Inverse method for sensing resistivity of carbon fiber composite structures”, ASME Journal of Engineering Materials and Technology, in press, DOI: 10.1115/1.4002627.
  • Padmanabhan S and Kumar AV, 2007, “Inverse Problem for estimation of loads and support compliances from structural response data”, AIAA Journal, vol. 45, no. 6, pp. 1199-1207.
  • Padmanabhan S., Hubner J. P., Kumar A. V. and Ifju P. G., 2006, “Load and Boundary Condition Calibration using Full-field Strain Measurement”, Experimental Mechanics, vol. 46, pp. 569-578.
  • Kumar Ashok V. and Lee Jongho, 2006, “Step Function Representation of Solid Models and Application to Mesh Free Engineering Analysis”, Journal of Mechanical Design, ASME, vol. 128, pp. 1-11.

Finite element analysis

  • Gu, L., Santra, S., Mericle, R.A., Kumar, A.V, 2005, “Finite element analysis of covered microstents”, Journal of Biomechanics, 38, pp. 1221-1227.
  • Yu Lichao and Kumar Ashok V., “An object-oriented modular framework for implementing the Finite Element Method”, Computers and Structures, Elsevier Science, vol. 79, 2001, pp. 919-928.
  • Yang Chulho and Kumar Ashok V., “Investigation of strain hardening in NiAl single crystals using three-dimensional FEA models”, Journal of Engineering Materials and Technology, Transactions of the ASME, vol. 123, no. 1, 2001, pp. 20-27.

Additive Manufacturing: Electrophotographic 3D printing

  • Manjooran Navin Jose, Kumar Ashok and Sigmund Wolfgang Michael, 2006, “Development of a Liquid Toner for Electro-Photographic Solid Freeform Fabrication”, Journal of European Ceramic Society, vol. 26, issue 13, pp. 2459-2465.
  • Kumar, Ashok V. and Dutta Anirban, 2004, “Electrophotographic Layered Manufacturing”, Journal of Manufacturing Science and Engineering, Transactions of the ASME, Vol. 126, Issue 3, pp. 571-576.
  • Kumar, Ashok, Dutta Anirban, Fay James E., 2004, “Electrophotographic printing of part and binder powders”, Rapid Prototyping Journal, vol. 10, issue 1, pp. 7-13.
  • Kumar Ashok V. and Dutta Anirban, 2003, “Investigation of an electrophotography based rapid prototyping technology”, Rapid Prototyping Journal, vol. 9, issue 2, pp. 95-103.
  • Kumar Ashok V. and Yu Lichao, “Sequential constraint imposition for dimension-driven solid models”, Computer Aided Design, Elsevier Science, vol. 33, 2001, pp. 475-486.

Constitutive Modeling

  • Yang Chulho and Kumar Ashok V., “Investigation of strain hardening in NiAl single crystals using three-dimensional FEA models”, Journal of Engineering Materials and Technology, Transactions of the ASME, vol. 123, no. 1, 2001, pp. 20-27.
  • Kumar Ashok V. and Yang Chulho, “Study of work hardening models for single crystals using three dimensional finite element analysis” International Journal of Plasticity, vol. 15, 1999, pp. 737-754.
  • Kumar Ashok V., Yang Chulho, Seelam Vijay B.R., “Investigation of localized deformation in NiAl single crystals”, Journal of Engineering Materials and Technology, Transactions of the ASME, vol. 120, no. 3, 1998, pp. 206-211
  • Kumar Ashok, Mallick K. and Samanta S. K., “Study of the effect of deformation on the axes of anisotropy”, Journal of Engineering Materials and Technology, Transactions of the ASME, vol. 113, no. 2, 1991, pp. 187-191.
  • Mallick K., Samanta, S. K., Kumar, A., “Experimental study of the evolution of yield loci for anisotropic materials subjected to finite shear deformation”, Journal of Engineering Materials and Technology, Transactions of the ASME, vol. 113, no. 2, 1991, pp. 192-198.
  • Samajdar S., Kumar A., Mallick K. and Samanta S. K., “Phenomenological model on the deformation mechanism of YBa2Cu3O7 & Ag2O composite”, J. Mater Sci Letter, vol. 9 no. 2, 1990, pp. 137-140.

Refereed Proceedings

  • Aswath M. and Kumar A. V., “Mesh independent modeling of essential, interface and periodic boundary conditions using step boundary method”, Proceedings of the ASME 2017 International Design Engineering Technical Conference, IDETC2017-68044, 2017.
  • Bhosale N. and Kumar A. V., “Total Lagrangian formulation for large deformation modeling using uniform background mesh”, Proceedings of the ASME 2016 International Design Engineering Technical Conference, IDETC2016-60402, 2016.
  • Mishra, P. and Kumar A. V., “Coupled Electrostatic-structural analysis using mesh independent approach”, Proceedings of the ASME 2015 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, DETC2015-46865, 2015.
  • Zhang and Kumar A. V., Modal Analysis using implicit boundary finite element method, Proceedings of the ASME 2014 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, DETC2014-35100, 2014.
  • Burla K. and Kumar A. V., T-spline based local refinement for mesh independent analysis, Proceedings of the ASME 2014 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, DETC2014-34500, 2014.
  • Tupsakhare, A., Nagarajan V. and Kumar, A. V., “Modeling contact accurately using localized enrichment”, Proceedings of the ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2013-12731,
  • Hailong, C. and Kumar, A. V., “Implicit boundary approach for Reissner-Mindlin plates”, Proceedings of the ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2013-12714, 2013.
  • Hotwani, V. and Kumar, A. V., “Efficient implementation of extended finite element method”, Proceedings of the ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2012-70893, August 12-15, 2012, Chicago, IL.
  • Kumar, A. V. and Parthasarathy. A., “Design of compliant structural mechanisms using B-Spline elements”, Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2010-28583, August 28-31, 2011, Washington, DC.
  • Periyasamy P.D.S, Kumar A.V and Burla R., “Analysis of shell-like structures using structured mesh”, Proceedings of the ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2010-28583, August 15-18, 2010, Montreal, Quebec, Canada.
  • Zhang Sung-Uk and Kumar A.V., “Damage sensing by inverse estimation of electrical resistivity”, Proceedings of the ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2010-28583, August 15-18, 2010, Montreal, Quebec, Canada.
  • Kumar A.V and Burla R., “Local hierarchical grid refinement for analysis using structured grid”, Proceedings of the ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Aug. 30-Sept. 2, 2009, San Diego, CA USA
  • Kumar A.V and Burla R., “Finite element analysis using uniform b-spline basis”, Proceedings of the ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, August 3-6, 2008, New York City, NY USA
  • Kumar AV, Freeman C and Sierakowski RL, “Design of Multifunctional Composite Structures”, Proceeding of the 49th AIAA/ ASME/ ASCE/ AHS/ ASC Structures, Structural Dynamics, and Materials Conference, 7-10 April 2008, Schaumburg, IL.
  • Kumar AV, Burla R, Padmanabhan S. and Gu L, “Finite element analysis using non-conforming mesh”, Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, September 4-7, 2007, Las Vegas, Nevada, USA
  • Kumar AV and Sierakowski RL, “Micro-scale finite element models of composites subject to electromagnetic fields”, Proceeding of the 48th AIAA/ ASME/ ASCE/ AHS/ ASC Structures, Structural Dynamics, and Materials Conference, April 2007, Honolulu, HI.
  • Kumar AV, Zhupanska O and Sierakowski RL, Composite plates subjected to electromagnetic field, Proceeding of the 47th AIAA/ ASME/ ASCE/ AHS/ ASC Structures, Structural Dynamics, and Materials Conference, April 2006, Newport Rhode Island.
  • Padmanabhan S., Hubner J. P., Kumar A. V. and Ifju P. G., 2005, “Load and Boundary Condition Calibration using Full-field Strain Measurement”, Society of Experimental Mechanics, Portland, Oregon, USA.
  • Kumar A. V., Lee J. H. and Burla R., 2005, “Implicit solid modeling for mesh free analysis”, Proceedings of IDETC/CIE 2005, ASME 2005 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, September 24-28, 2005, Long Beach, California, USA
  • Gu L. and Kumar A. V., 2005, “Solution structures for imposing boundary conditions in mesh free analysis of heat conduction problems”, Proceedings of IMECE2005, ASME International Mechanical Engineering Congress and Exposition, November 5-11, 2005, Orlando, Florida USA
  • Kumar, Ashok V. and Lee Jongho, 2004, “Boolean algebra and analysis using approximate step functions”, DETC2004-57700, Proceedings of DETC’04: ASME 2004 Design Engineering Technical Conferences and Computers and Information in Engineering Conference September 28-October 2, 2004, Salt Lake City, Utah.
  • Kumar, Ashok V. and Dutta Anirban, 2003, “Layered manufacturing by electrophotographic printing”, Proceedings of DETC 2003, Design Automation Conference, ASME.
  • Kumar, Ashok V. and Wood A., “Design of optimally stiff structures using shape density function”, Design Automation Conference, Proceedings of the 1999 Design Engineering Technical Conferences, Las Vegas, pp. 1-6, 1999. 
  • Kumar, Ashok V. and Yu Lichao, “Object-oriented implementation of finite element methodology”, Proceedings of the 18th Computers in Engineering conference, Atlanta, GA, pp. 1-7, 1998. (Reviewed by one reviewer before publication)
  • Yang C. and Kumar, Ashok V., 1997, “Simulation of Deformation in NiAl Single Crystals”, Recent Advances in Solids/Structures and Application of Metallic Materials, ASME Pressure Vessels and Piping Division (Publication) PVP v 369 pp. 383-388, 1997. (Reviewed by one reviewer before publication)
  • Kumar, Ashok V. and Gossard David, “A sequential approximation method for structural optimization using logarithmic barriers”, Proceedings of the ASME Design Automation Conference, pp. 1-8, 1993. (Reviewed by two reviewers before publication).
  • Kumar, Ashok V, “Implicit Boundary Method for analysis using non-conforming mesh”, 9th US National Congress on Computational Mechanics, San Francisco, CA, July 2007.
  • Kumar, Ashok V., Dutta Anirban and Fay James, 2003, “Solid freeform fabrication by electrophotographic printing”, Proceedings of the 14th Solid Freeform Fabrication symposium, 2003.
  • Kumar, A. V. and Yang C., “Study of work hardening in fcc single crystals”, Proceedings of Plasticity ’99, the seventh international symposium on plasticity and its current applications, pp. 811-814, 1999.
  • Kumar, A. V. and Wood A., “Representation and design of heterogeneous components”, 10th Solid Freeform Fabrication Proceedings, pp. 179-186, 1999.
  • Kumar, A. V. and Zhang H., “Electrophotographic powder deposition for freeform fabrication”, 10th Solid Freeform Fabrication Proceedings, pp. 639-646, 1999.
  • Kumar, A. V., “Powder deposition and sintering for a two-powder approach to solid freeform fabrication”, 9th Solid Freeform Fabrication symposium, pp. 169-176, 1998.
  • Kumar, Ashok V. and Gossard, David, “Geometric modeling for shape and topology optimization”, Geometric Modeling for Product Realization, Eds. P. R. Wilson, M. J. Wozny and M. J. Pratt, IFIP transactions, B-8, 1993, pp. 81-94.