Semi-analytical computation of displacement in linear viscoelastic materials

Semi-analytical computation of the non-linear matter power spectrum

We address the issue of computing the non-linear matter power spectrum on mildly nonlinear scales with efficient semi-analytic methods. We implemented M. Pietroni’s Time Renormalization Group (TRG) method and its Dynamical 1-Loop (D1L) limit in a numerical module for the new Boltzmann code CLASS. A careful comparison of the D1L, TRG and Standard 1-Loop approaches reveals that results depend cru...

Semi-Analytical Solution for Vibration of Nonlocal Piezoelectric Kirchhoff Plates Resting on Viscoelastic Foundation

Semi-analytical solutions for vibration analysis of nonlocal piezoelectric Kirchhoff plates resting on viscoelastic foundation with arbitrary boundary conditions are derived by developing Galerkin strip distributed transfer function method. Based on the nonlocal elasticity theory for piezoelectric materials and Hamilton's principle, the governing equations of motion and boundary conditions are ...

Electro-osmotic and pressure-driven flow of viscoelastic fluids in microchannels: Analytical and semi-analytical solutions

Analytical Simulations of Optimum Anisotropic Linear Viscoelastic Damping Properties

In a previous paper (Hilton & Yi 1992), a systematic study was undertaken to determine how shapes of relaxation–time functions affect damping characteristics of isotropic viscoelastic materials. The significant parameters were the instantaneous and fully relaxed moduli (Regions A and E on Fig. 1), the two “knees” (B and D), the central slope (C) and anisotropic shift functions. The sensitivity ...

Relations between loss angles in isotropic linear viscoelastic materials

For the description of the mechanical behaviour of linear viscoelastic materials a number of characteristic material properties is in use. So the relaxation functions in shear, J(t), in extension, D(t), and in compression, B(t), describe the response of the material to a stepfunction H(t) in the corresponding stress. It can be shown theoretically that the relaxation functions are monotonically ...