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math-ph2025
Universal Curvature Force on Dislocations from a Cartan Geometric Defect Action
Vinesh Vijayan, T Ishwarya, M Parveenbanu +1
We develop a unified Cartan geometric framework where dislocations and disclinations correspond to torsion and curvature of the material coframe connection, respectively, and phase…
math-ph2025
Geometric Formulation of Combined Conservative Dissipative Mechanics via Contact Hamiltonian Dynamics Symmetries, Reduction, and Variational Integrators
Vinesh Vijayan, Pasupuleti Thejasree, P Satish Kumar +1
We develop a unified geometric framework for mechanical systems that combine conservative and dissipative dynamics by formulating them on contact manifolds. Within this setting, we…