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Publications

Publications in peer-reviewed journals

2024

Paul, S., Freed, A. D., Szabó, On the use of QR kinematics in studying the Eshelby energy–momentum tensor. International Journal of Solids and Structures. 255, 111854 (2022).

2025

On the extension of the concept of rheological connections to a finite deformation framework using multiple natural configurations . International Journal of Engineering Science. 212, 104267 (2025).

Incorporation of internal state variables and plastically-induced anisotropy into a constitutive model involving scalar, conjugate, stress/strain base pairs . European Journal of Mechanics A/ Solids. 109, 105435 (2024).

2023

Paudel, S., Paul, S., A note on the derivation of quotient rules and their use in QR kinematics. Acta Mechanica. 234, 5937-5946 (2023).

2022

2021

Paul, S., Freed, A. D., A constitutive model for elastic-plastic materials using scalar conjugate stress/strain base pairs. Journal of the Mechanics and Physics of Solids. 155, 104535 (2021).

Zamani, S., Paul, S., Kotiya, A. A., Criscione, J. C., Freed, A. D., Application of QR framework in modeling the constitutive behavior of porcine coronary sinus tissue. Mechanics of Soft Materials. 3, 7 (2021).

Paul, S., Freed, A. D., Benjamin C. C., Application of the Gram-Schmidt factorization of the deformation gradient to a cone and plate rheometer. Physics of Fluids. 33(1), 017113 (2021). (selected as a cover article)

2020

Paul, S., Freed, A. D., Clayton J. D., Coordinate indexing: On the use of Lagrangian and Eulerian Laplace stretches. Applications in Engineering Science. 5, 100029 (2021).

Paul, S., Freed, A. D., Characterizing geometrically necessary dislocations using an elastic-plastic decomposition of the Laplace stretch. Zeitschrift fur Angewandte Mathematik und Physik. 71(6), 196 (2020).

Paul, S., Freed, A. D., A simple and practical representation of compatibility condition derived using a QR decomposition of the deformation gradient. Acta Mechanica, 231(8), 3289–3304 (2020).

Conference papers

Paul, S., Freed, A. D. and Benjamin, C. C. (2022). Application of the Gram–Schmidt factorization of the deformation gradient to a cone and plate rheometer. 19th US National Congress on Theoretical and Applied Mechanics, Austin, Texas.

Singh, T. and Paul, S. (2025). Challenges in extending rheological connections to a finite deformation theory. 14th International Symposium on Plasticity and Impact Mechanics, IIT Roorkee.

Shivam and Paul, S. (2025). A novel kinematic framework for composite materials undergoing damage using multiple natural configurations. 14th International Symposium on Plasticity and Impact Mechanics, IIT Roorkee.

Technical notes

Freed, A. D., Zamani S., Paul, S., Clayton, J. D., A dodecahedral model for alveoli. ARL-TR-9148 (2021) (U.S. Army research lab report).

Thesis

Sujan Paudel (M.Tech., 2023): Use of QR kinematics in rheometry

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