146 citations · 234 across the 15 of their papers we have counts for
17 papers
Plane stress finite element modelling of arbitrary compressible hyperelastic materials
Masoud Ahmadi, Andrew McBride, Paul Steinmann +1
Modelling the large deformation of hyperelastic solids under plane stress conditions for arbitrary compressible and nearly incompressible material models is challenging. This is in…
An embedding-aware continuum thin shell formulation
Abhishek Ghosh, Andrew McBride, Zhaowei Liu +3
Cutting-edge smart materials are transforming the domains of soft robotics, actuators, and sensors by harnessing diverse non-mechanical stimuli, such as electric and magnetic field…
A fully-coupled nonlinear magnetoelastic thin shell formulation
Abhishek Ghosh, Andrew McBride, Zhaowei Liu +3
A geometrically exact dimensionally reduced order model for the nonlinear deformation of thin magnetoelastic shells is presented. The Kirchhoff-Love assumptions for the mechanical…
Computational bifurcation analysis of hyperelastic thin shells
Zhaowei Liu, Andrew McBride, Abhishek Ghosh +5
The inflation of hyperelastic thin shells is an important and highly nonlinear problem that arises in multiple engineering applications involving severe kinematic and constitutive…
Wrinkling as a mechanical instability in growing annular hyperelastic plates
Sumit Mehta, Gangadharan Raju, Prashant Saxena
Growth-induced instabilities are ubiquitous in biological systems and lead to diverse morphologies in the form of wrinkling, folding, and creasing. The current work focusses on the…
Instabilities in a compressible hyperelastic cylindrical channel due to internal pressure and external constraints
Sumit Mehta, Gangadharan Raju, Shanmugam Kumar +1
Pressurised cylindrical channels made of soft materials are ubiquitous in biological systems, soft robotics, and metamaterial designs. In this paper, we study large deformation of…
Vibration Analysis of Piezoelectric Kirchhoff-Love Shells based on Catmull-Clark Subdivision Surfaces
Zhaowei Liu, Andrew McBride, Prashant Saxena +3
An isogeometric Galerkin approach for analysing the free vibrations of piezoelectric shells is presented. The shell kinematics is specialised to infinitesimal deformations and foll…
Modelling instabilities in electroelastic and magnetoelastic membranes: a very brief review
Prashant Saxena
The current state of the art for analytical and computational modelling of deformation in nonlinear electroelastic and magnetoelastic membranes is reviewed. A general framework and…
Growth induced instabilities in a circular hyperelastic plate
Sumit Mehta, Gangadharan Raju, Prashant Saxena
In this work, we have explored growth-induced mechanical instability in an isotropic circular hyperelastic plate. Consistent two-dimensional governing equations for a plate under a…
Variational principles of nonlinear magnetoelastostatics and their correspondences
Basant Lal Sharma, Prashant Saxena
We derive the equations of nonlinear magnetoelastostatics using several variational formulations involving the mechanical deformation and an independent field representing the magn…
Buckling of chiral rods due to coupled axial and rotational growth
Satya Prakash Pradhan, Prashant Saxena
We present a growth model for special Cosserat rods that allows for induced rotation of cross-sections. The growth law considers two controls, one for lengthwise growth and other f…
Coupled electro-elastic deformation and instabilities of a toroidal membrane
Zhaowei Liu, Andrew McBride, Basant Lal Sharma +2
We analyse here the problem of large deformation of dielectric elastomeric membranes under coupled electromechanical loading. Extremely large deformations (enclosed volume changes…
On equilibrium equations and their perturbations using three different variational formulations of nonlinear electroelastostatics
Prashant Saxena, Basant Lal Sharma
We derive the equations of nonlinear electroelastostatics using three different variational formulations involving the deformation function and an independent field variable repres…
Assessment of an Isogeometric Approach with Catmull-Clark Subdivision Surfaces using the Laplace-Beltrami Problems
Zhaowei Liu, Andrew McBride, Prashant Saxena +1
An isogeometric approach for solving the Laplace-Beltrami equation on a two-dimensional manifold embedded in three-dimensional space using a Galerkin method based on Catmull-Clark…
A theory of finite deformation magneto-viscoelasticity
Prashant Saxena, Mokarram Hossain, Paul Steinmann
This paper deals with the mathematical modelling of large strain magneto-viscoelastic deformations. Energy dissipation is assumed to occur both due to the mechanical viscoelastic e…
On rate-dependent dissipation effects in electro-elasticity
Prashant Saxena, Duc Khoi Vu, Paul Steinmann
This paper deals with the mathematical modelling of large strain electro-viscoelastic deformations in electro-active polymers. Energy dissipation is assumed to occur due to mechani…
On the general governing equations of electromagnetic acoustic transducers
Prashant Saxena
In this paper, we present the general governing equations of electrodynamics and continuum mechanics that need to be considered while mathematically modelling the behaviour of elec…