Area of research
Mechanical Engineering · Computational Theory and Mathematics
Research interest
Research interests include Mathematics, Curvature, Geometry, Torsion (gastropod), Gravitational singularity, and Mathematical analysis.
On Saint-Venant Compatibility and Stress Potentials in Manifolds with Boundary and Constant Sectional Curvature
Asymptotic rigidity for shells in non-Euclidean elasticity
Continuum mechanics of a cellular tissue model
Homogenization of Edge-Dislocations as a Weak Limit of de-Rham Currents
Limits of Distributed Dislocations in Geometric and Constitutive Paradigms
Continuum Dynamics on Manifolds: Application to Elasticity of Residually-Stressed Bodies
Bending energy of buckled edge dislocations
Riemannian surfaces with torsion as homogenization limits of locally Euclidean surfaces with dislocation-type singularities
Geometry and mechanics of two-dimensional defects in amorphous materials
The emergence of torsion in the continuum limit of distributed edge-dislocations
Geometry of Thin Nematic Elastomer Sheets
The metric description of elasticity in residually stressed soft materials
A Riemannian approach to reduced plate, shell, and rod theories
On the geometric formulation of Hamiltonian dynamics
Emergence of Spontaneous Twist and Curvature in Non-Euclidean Rods: Application to<i>Erodium</i>Plant Cells