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[CT130]

Session Date & Time : 3E (Aug.23, 17:40-19:20)
Type : Contributed Talk
Abstract : Formulate a linear theory of generalized thermo-microstretch elastic solid containing uniform distribution of uniform voids. The thermal effects have been incorporated using one relaxation time concept introduced by Lord and Shulman. The constitutive relations and the field equations are derived for an isotropic, homogeneous, generalized thermo-microstretch elastic solid containing voids. The propagation of plane waves is also investigated and observed the metamaterial-like effect in this medium.
Classification : 74B05, 74F05, 74J05, 74A60, 74J10, Thermal effects in microcontinuum theories
Author(s) :
- Manisha - (Panjab University, Chandigarh)

Session Date & Time : 3E (Aug.23, 17:40-19:20)
Type : Industrial Contributed Talk
Abstract : A refined multi-phase lag model is proposed here for a homogeneous unbounded thermoelastic spherical cavity in the context of a curvilinear coordinate system. The associated solutions of stress components and temperature gradient are obtained from the governing equations by forming non-dimensional vector matrix equations and applying the eigenvalue approach in the transform domain. The results have been verified using the valid boundary conditions that are used to solve the problem by obtaining the value of unknown. The numerical analysis and graphical representations have been done by using Mathematica and MATLAB
Classification : 74B05, 74J05, 74F15
Author(s) :
- Abhijit Lahiri (Jadavpur University)
- Sumit Sovan Sardar (Jadavpur University)
- Debkumar Ghosh (Jadavpur University)

Session Date & Time : 3E (Aug.23, 17:40-19:20)
Type : Contributed Talk
Abstract : Propagation of Rayleigh-type wave has been investigated in a nonlocal elastic half-space having double porosity structure. The dispersion relation has been derived and it is found that the Rayleigh-type wave is dispersive and attenuating in nature and is affected by the presence of both type porosities and nonlocality of medium. It is also observed that the Rayleigh-type wave faces a cut-off frequency in the high-frequency range. For a particular model, the dispersion relation is studied numerically.
Classification : 74B05, 74J10, 74J15, 74J20, 74J25
Author(s) :
- Dilbag Singh (Panjab University, Chandigarh)

Session Date & Time : 3E (Aug.23, 17:40-19:20)
Type : Contributed Talk
Abstract : This research concerns the Weighted Energy-Dissipation approach for nonlinear elasticity. We introduce a family of $\epsilon-$dependent functionals defined over entire trajectories and we prove that they admit minimisers which are solutions of the corresponding Euler-Lagrange problem. Considering the limit $\epsilon \rightarrow 0$ we prove that those minimisers converge to the solutions of a specific nonlinear elasticity equation. Eventually, linearized elastic energies are proven to be the $\Gamma$-limits of the rescaled nonlinear energies.
Classification : 74B20, 47J30, 47J35, 58E30, 74B15
Author(s) :
- Riccardo Voso (University of Vienna)

Session Date & Time : 3E (Aug.23, 17:40-19:20)
Type : Contributed Talk
Abstract : In the present paper, the analytic model of a dynamic circular crack in an infinite nonhomogeneous transversely isotropic medium under normal and anti-plane shear loadings is studied. The rigidity and density of the medium is assumed to be an exponential function of depth to show non-homogeneities. The analytic expressions of SIF and COD have been derived and illustrated graphically to show the effect of non- homogeneity of a transtropic material under normal and anti-plane share loadings.
Classification : 74Bxx, 74Jxx, Wave propagation in solid media
Author(s) :
- SUBHAS CHANDRA MANDAL (JADAVPUR UNIVERSITY)
- SOURAV PANJA (JADAVPUR UNIVERSITY)