Publications

PDFs of almost all articles are available below or open access at the publisher/ preprint servers.
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Publications in peer-reviewed journals

Preprints

• A fully-coupled nonlinear magnetoelastic thin shell formulation (under review)
  Abhishek Ghosh, Andrew McBride, Zhaowei Liu, Luca Heltai, Paul Steinmann, Prashant Saxena

• An embedding-aware continuum thin shell formulation (under review)
  Abhishek Ghosh, Andrew McBride, Zhaowei Liu, Luca Heltai, Paul Steinmann, Prashant Saxena

2025

• Plane stress finite element modelling of arbitrary compressible hyperelastic materials
  Masoud Ahmadi, Andrew McBride, Paul Steinmann, Prashant Saxena
  Acta Mechanica

• Deformation and stability of initially stressed hyperelastic plates (open access)
  Soumya Mukherjee, Prashant Saxena
  International Journal of Solids and Structures

• Surface instability of a finitely deformed magnetoelastic half-space (open access)
  Davood Shahsavari, Prashant Saxena
  International Journal of Non-Linear Mechanics

2024

• Impact of compliant electrodes on the dynamics of electromagnetoactive membranes (open access)
  Asesh Kumar Patra, Aman Khurana, Deepak Kumar, Prashant Saxena
  International Journal of Non-Linear Mechanics, doi: 10.1016/j.ijnonlinmec.2024.104906

• In recognition of the 80th birthday of Ray Ogden
  Luis Dorfmann, Jose Merodio, Raimondo Penta, Prashant Saxena
  Mathematics and Mechanics of Solids, doi: 10.1177/10812865241257

• Analytical modelling of the electrical conductivity of CNT-filled polymer nanocomposites (open access)
  Masoud Ahmadi, Prashant Saxena
  Mathematics and Mechanics of Solids, doi: 10.1177/10812865231225483

• A Galerkin Approach for Analysing Coupling Effects in the Piezoelectric Semiconducting Beam
  Zhaowei Liu, Pei-Lian Bian, Yilin Qu, Weicheng Huang, LeiLei Chen, Jingbo Chen, Prashant Saxena, Tiantang Yu
  European Journal of Mechanics - A/ Solids, vol. 103, 105145 [preprint]

• Computational instability analysis of inflated hyperelastic thin shells using subdivision surfaces (open access)
  Zhaowei Liu, Andrew McBride, Abhishek Ghosh, Luca Heltai, Weicheng Huang, Tiantang Yu, Paul Steinmann, Prashant Saxena
  Computational Mechanics, vol. 73, 257-276

• Pectin methylesterification state and cell wall mechanical properties contribute to neighbour proximity-induced hypocotyl growth in Arabidopsis (open access)
  Fabien Sénéchal, Sarah robinson, Evert Van Schaik, Martine Trévisan, Prashant Saxena, Didier Reinhardt, Christian Fankhauser
  Plant Direct, 8(4), e584. doi: 10.1002/pld3.584

2022

• Wrinkling as a mechanical instability in growing annular hyperelastic plates (open access)
  Sumit Mehta, Gangadharan Raju, Prashant Saxena
  International Journal of Mechanical Sciences, vol. 229, 107481

• Instabilities in a compressible hyperelastic cylindrical channel under internal pressure and external constraints  (open access)
  Sumit Mehta, Gangadharan Raju, Shanmugam Kumar, Prashant Saxena
  International Journal of Non-Linear Mechanics, vol. 144, 104031

• Vibration Analysis of Piezoelectric Kirchhoff-Love Shells based on Catmull-Clark Subdivision Surfaces (open access)
  Zhaowei Liu, Andrew McBride, Prashant Saxena, Luca Heltai, Yilin Qu, Paul Steinmann
  International Journal of Numerical Methods in Engineering, vol. 123, 4296-4322

2021

• Growth induced instabilities in a circular hyperelastic plate
  Sumit Mehta, Gangadharan Raju, Prashant Saxena
  International Journal of Solids and Structures, vol. 226-227, 111026 [arxiv]

• Buckling of chiral rods due to coupled axial and rotational growth (open access)
  Satya Prakash Pradhan, Prashant Saxena
  Mathematics and Mechanics of Solids, vol. 26 (11), 1675-1700

• Coupled electro-elastic deformation and instabilities of a toroidal membrane
  Zhaowei Liu, Andrew McBride, Basant Lal Sharma, Paul Steinmann, Prashant Saxena
  Journal of the Mechanics and Physics of Solids, vol. 151, 104221 [arxiv]

• Variational principles of nonlinear magnetoelastostatics and their correspondences (open access)
  Basant Lal Sharma, Prashant Saxena
  Mathematics and Mechanics of solids, vol. 26 (10), 1424-1454

2020

• Assessment of an Isogeometric Approach with Catmull-Clark Subdivision Surfaces using the Laplace-Beltrami Problems (open access)
  Zhaowei Liu, Andrew McBride, Prashant Saxena, Paul Steinmann
  Computational Mechanics, vol. 66, pp. 851-876

• On equilibrium equations and their perturbations using three different variational formulations of nonlinear electroelastostatics
  Prashant Saxena, Basant Lal Sharma
  Mathematics and Mechanics of Solids, vol. 25(8), pp. 1589-1609 [arxiv]

• Universal relations in coupled electro-magneto-elasticity
  Deepak Kumar, Somnath Sarangi, Prashant Saxena
  Mechanics of Materials, vol. 143, 103308

2019

• Instabilities in the free inflation of a nonlinear hyperelastic toroidal membrane
  Sairam Pamulaparthi Venkata, Prashant Saxena
  Journal of Mechanics of Materials and Structures, vol. 14, pp.473-496

• Magnetoelastic deformation of a circular membrane: Wrinkling and limit point instabilities
  P. Saxena, N. H. Reddy, S. P. Pradhan
  International Journal of Non-Linear Mechanics, vol. 116, pp. 250-261
  (Invited paper for special issue on Nonlinear theory of electro- and magneto-elasticity)

2018

• Instabilities in the axisymmetric magnetoelastic deformation of a cylindrical membrane
  N. H. Reddy, P. Saxena
  International Journal of Solids and Structures, vol. 136-137, pp. 203-219

• Finite deformations and incremental axisymmetric motions of a magnetoelastic tube
  P. Saxena
  Mathematics and Mechanics of Solids, vol. 23, pp. 950-983

2017 and earlier

• Limit points in the free inflation of a magnetoelastic toroidal membrane (2017)
  N. H. Reddy, P. Saxena
  International Journal of Non-Linear Mechanics, vol. 95, pp. 248-263

• Modelling of iron-filled magneto-active polymers with a dispersed chain-like microstructure (2015)
  P. Saxena, J-P. Pelteret, P. Steinmann
  European Journal of Mechanics - A/Solids, vol. 50, pp. 132-151

• Modelling the curing process in magneto-sensitive polymers: Rate-dependence and shrinkage (2015)
  M. Hossain, P. Saxena, P. Steinmann
  International Journal of Non-Linear Mechanics, vol. 74, pp. 108-121

• Modelling the mechanical aspects of the curing process of magneto-sensitive elastomeric materials (2015)
  M. Hossain, P. Saxena, P. Steinmann
  International Journal of Solids and Structures, vol. 58, pp. 257-269

• Nonlinear magneto-viscoelasticity of transversally isotropic magneto-active polymers (open access) (2014)
  P. Saxena, M. Hossain, P. Steinmann
  Proceedings of the Royal Society A, vol. 470, 20140082

• On rate-dependent dissipation effects in electro-elasticity (2014)
  P. Saxena, D. K. Vu, P. Steinmann
  International Journal of Non-Linear Mechanics, vol. 62, pp. 1-11

• A theory of finite deformation magneto-viscoelasticity (2013)
  P. Saxena, M. Hossain, P. Steinmann
  International Journal of Solids and Structures, vol. 50, issue 24, pp. 3886-3897

• On the general governing equations of electromagnetic acoustic transducers (open access) (2013)
  P. Saxena
  Archive of Mechanical Engineering, vol. 40, issue 2, pp. 231-246

• On Love-type waves in a finitely deformed magnetoelastic layered half-space (2012)
  P. Saxena, R. W. Ogden
  Zeitschrift für Angewandte Mathematik und Physik, vol. 63, issue 6, pp. 1177-1200

• On surface waves in a finitely deformed magnetoelastic half-space (2011)
  P. Saxena, R. W. Ogden
  International Journal of Applied Mechanics, vol. 3, issue 4, pp. 633-665

Papers in Conference Proceedings

• Instabilities in the deformation of magnetoelastic membranes (2019)
  P. Saxena
  UKACM annual conference, London
  
  

• Magneto-sensitive elastomers: an experimental point of view (2014)
  B. Walter, P. Saxena, J. Kaschta, D.W. Schubert, P. Steinmann
  Proceedings in Applied Mathematics and Mechanics, vol. 14, issue 1, pp. 403-404
  
  

• On the preparation, characterisation, modelling and simulation of magneto-sensitive elastomers (2014)
  B. Walter, P. Saxena, J-P. Pelteret, J. Kaschta, D.W. Schubert, P. Steinmann
  Proceedings of the second seminar on the mechanics of multifunctional materials, pp. 103-106
  
  

• Degree of cure-dependent modelling for polymer curing processes at small strains (2013)
  M. Hossain, P. Saxena, P. Steinmann
  Proceedings in Applied Mathematics and Mechanics, vol. 13, issue 1, pp. 217-218
  
  

• Mathematical modelling of finite strain magneto-viscoelastic deformations (2013)
  P. Saxena, M. Hossain, P. Steinmann
  Proceedings in Applied Mathematics and Mechanics, vol. 13, issue 1, pp. 163-164

Other Manuscripts

• Modelling instabilities in electroelastic and magnetoelastic membranes: a very brief review (2021)
  P. Saxena
  arxiv preprint

• On wave propagation in finitely deformed magnetoelastic solids (2012)
  P. Saxena
  PhD Thesis, University of Glasgow