In this paper, the finite element analysis of two-dimensional linear viscoelastic problems is performed using quadrilateral complex Fourier elements and, the results are compared with those obtained by quadrilateral classic Lagrange elements. Complex Fourier shape functions contain a shape parameter which is a constant unknown parameter adopted to enhance approximation’s accuracy. Since the iso...

Abstract The current paper is concerned with the universe evolution behavior within framework of Lyra’s geometry. modified Einstein’s field equations based on this geometry are solved under a specific creation function and linearly varying deceleration parameter. energy conditions also discussed.

The geometric operators of area, volume, and length, depend on a fundamental length l of quantum geometry which is a priori arbitrary rather than equal to the Planck length lP . The fundamental length l and the Immirzi parameter γ determine each other. With any l the entropy formula is rendered most naturally in units of the length gap √ 3/2( √ γl). Independently of the choice of l, the black h...

We perform parametric tests of the consistency of the standard wCDM model in the framework of general relativity by carefully separating information between the geometry and growth of structure. We replace each late-Universe parameter that describes the behavior of dark energy with two parameters: one describing geometrical information in cosmological probes, and the other controlling the growt...

Fractals at T = T c due to instanton-like configurations Abstract We investigate the geometry of the critical fluctuations for a general system undergoing a thermal second order phase transition. Adopting a generalized effective action for the local description of the fluctuations of the order parameter at the critical point (T = T c) we show that instanton-like configurations, corresponding to...