Size-dependent longitudinal and torsional vibrations of nano-beams are examined by two-phase mixture integral elasticity. A new and efficient elastodynamic model is conceived by convexly combining the local phase with strain- and stress-driven purely nonlocal phases. The proposed stress-driven nonlocal integral mixture leads to well-posed structural problems for any value of the scale parameter...

In this paper, we consider a strain gradient porous elastic bar subjected to thermal disturbance modelled by Cattaneo's law for heat conduction. We use the semigroup approach prove existence of unique weak solution. Although dissipation induced second sound thermoelasticity is weaker than that caused classical conduction, solution decays exponentially.

We present the formulation and implementation of an analytical gradient algorithm for extended multiconfiguration quasidegenerate perturbation theory (XMCQDPT2) with resolvent-fitting approximation by Granovsky. This is powerful when optimizing molecular configurations a moderate-sized active space many electronic states. First, we powerfulness accuracy approximations compared to canonical XMCQ...