Department of Mechanical Engineering, University of Kansas, Lawrence, KS, USA - Articles

Consistency and Validity of the Mathematical Models and the Solution Methods for BVPs and IVPs Based on Energy Methods and Principle of Virtual Work for Homogeneous Isotropic and Non-Homogeneous Non-Isotropic Solid Continua (Articles)

Karan S. Surana, Emilio N. Alverio

Applied Mathematics Vol.11 No.7, July 16, 2020

DOI: 10.4236/am.2020.117039 519 Downloads 1,509 Views Citations
Enhanced Constitutive Theories for Classical Thermoviscoelastic Polymeric Fluids (Articles)

Karan S. Surana, Thomas J. Ezell

Applied Mathematics Vol.13 No.11, November 30, 2022

DOI: 10.4236/am.2022.1311058 257 Downloads 873 Views Citations
A Posteriori Error Computations in Finite Element Method for Initial Value Problems (Articles)

K. S. Surana, J. Abboud

American Journal of Computational Mathematics Vol.15 No.1, March 31, 2025

DOI: 10.4236/ajcm.2025.151005 95 Downloads 418 Views Citations
A Linear Microdilation Microcontinuum Theory for Thermoelastic Solids (Articles)

Karan S. Surana, Michael Poskin

Journal of Applied Mathematics and Physics Vol.13 No.11, November 21, 2025

DOI: 10.4236/jamp.2025.1311226 37 Downloads 156 Views Citations
Finite Deformation, Finite Strain Nonlinear Dynamics and Dynamic Bifurcation in TVE Solids (Articles)

Karan S. Surana, Sri Sai Charan Mathi

Applied Mathematics Vol.14 No.12, December 6, 2023

DOI: 10.4236/am.2023.1412047 294 Downloads 892 Views Citations
Methods of Approximation in hpk Framework for ODEs in Time Resulting from Decoupling of Space and Time in IVPs (Articles)

K.S. Surana, L. Euler, J.N. Reddy, A. Romkes

American Journal of Computational Mathematics Vol.1 No.2, June 30, 2011

DOI: 10.4236/ajcm.2011.12009 4,087 Downloads 9,254 Views Citations
Finite Deformation, Finite Strain Nonlinear Micropolar NCCT for Thermoviscoelastic Solids with Rheology (Articles)

Karan S. Surana, Sri Sai Charan Mathi

Applied Mathematics Vol.16 No.1, January 27, 2025

DOI: 10.4236/am.2025.161006 80 Downloads 438 Views Citations
Nonlinear Deformation/Strains for 3M Continua and Consistency of Linear Micropolar Theories (Articles)

Karan Surana, Sri Sai Charan Mathi

Journal of Applied Mathematics and Physics Vol.13 No.3, March 26, 2025

DOI: 10.4236/jamp.2025.133049 75 Downloads 354 Views Citations
A Nonlinear Micropolar Continuum Theory for Thermoviscoelastic Solid Medium Based on Classical Rotations (Articles)

Karan S. Surana, Sri Sai Charan Mathi

Applied Mathematics Vol.16 No.3, March 27, 2025

DOI: 10.4236/am.2025.163012 87 Downloads 376 Views Citations
Thermodynamically and Mathematically Consistent Linear Micromorphic Microcontinuum Theory for Solid Continua (Articles)

Karan S. Surana, Sri Sai Charan Mathi

Journal of Applied Mathematics and Physics Vol.13 No.10, October 31, 2025

DOI: 10.4236/jamp.2025.1310202 49 Downloads 213 Views Citations
Constitutive Theories for Linear Micromorphic Polymeric Solids (Articles)

Karan S. Surana, Sri Sai Charan Mathi

Journal of Applied Mathematics and Physics Vol.13 No.11, November 6, 2025

DOI: 10.4236/jamp.2025.1311209 30 Downloads 155 Views Citations
Constitutive Theories for Linear Micromorphic Thermoviscoelastic Solids (Articles)

Karan S. Surana, Sri Sai Charan Mathi

Applied Mathematics Vol.16 No.11, November 20, 2025

DOI: 10.4236/am.2025.1611042 18 Downloads 142 Views Citations
Immuned by Race: Ethnic Identity, Masculinity, and Attachment as Predictors of Cancer Screening among Black Men (Articles)

Darlingtina K. Atakere, Tamara A. Baker

Psychology Vol.7 No.7, July 7, 2016

DOI: 10.4236/psych.2016.77103 1,830 Downloads 3,210 Views Citations
This article belongs to the Special Issue on Cultural/Cross-Cultural Psychology
Nonlinear Waves in Solid Continua with Finite Deformation (Articles)

K. S. Surana, J. Knight, J. N. Reddy

American Journal of Computational Mathematics Vol.5 No.3, September 11, 2015

DOI: 10.4236/ajcm.2015.53032 5,199 Downloads 6,371 Views Citations
Finite Element Processes Based on GM/WF in Non-Classical Solid Mechanics (Articles)

K. S. Surana, R. Shanbhag, J. N. Reddy

American Journal of Computational Mathematics Vol.7 No.3, September 5, 2017

DOI: 10.4236/ajcm.2017.73024 1,110 Downloads 2,251 Views Citations
Restrictions on the Material Coefficients in the Constitutive Theories for Non-Classical Viscous Fluent Continua (Articles)

K. S. Surana, A. D. Joy, J. N. Reddy

Applied Mathematics Vol.9 No.1, January 30, 2018

DOI: 10.4236/am.2018.91005 1,096 Downloads 2,073 Views Citations
Ordered Rate Constitutive Theories for Non-Classical Thermoviscoelastic Fluids with Internal Rotation Rates (Articles)

K. S. Surana, S. W. Long, J. N. Reddy

Applied Mathematics Vol.9 No.8, August 22, 2018

DOI: 10.4236/am.2018.98063 819 Downloads 1,831 Views Citations
Error Estimations, Error Computations, and Convergence Rates in FEM for BVPs (Articles)

Karan S. Surana, A. D. Joy, J. N. Reddy

Applied Mathematics Vol.7 No.12, July 29, 2016

DOI: 10.4236/am.2016.712120 2,000 Downloads 4,066 Views Citations
Tensile Shock Physics in Compressible Thermoviscoelastic Solid Medium (Articles)

Karan S. Surana, Elie Abboud

Applied Mathematics Vol.15 No.10, October 29, 2024

DOI: 10.4236/am.2024.1510042 81 Downloads 350 Views Citations
Tensile Shock Physics in Compressible Thermoviscoelastic Solids with Rheology (Articles)

Karan S. Surana, Elie Abboud

Applied Mathematics Vol.15 No.12, December 19, 2024

DOI: 10.4236/am.2024.1512050 76 Downloads 360 Views Citations

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