concrete deformation due to temperature and moisture condition will always develop simultaneously and interactively. the environmentally (hygral and thermally) induced stress and deformation are essential to concrete durability. to simulate the deformation of concrete caused by the coupling effect of temperature and moisture, a numerical simulation approach is proposed comprising analytical pro...

A new nite element method for elliptic problems with locally periodic microstructure of length " > 0 is developed and analyzed. It is shown that the method converges, as " ! 0, to the solution of the homogenized problem with optimal order in " and exponentially in the number of degrees of freedom independent of " > 0. The computational work of the method is bounded independently of ". Numerical...

Graphene sheets are combined of Honeycombs lattice carbon-carbon bonds which have high natural frequencies, high strength, and high conductivity. Due to important applications of the graphene sheets particularly at higher frequencies, the study of their dynamic behavior is important in this frequency range. From Molecular Dynamics (MD) point of view as the dimensions of graphene sheet incline, ...

In this paper, we apply the idea of integral type contraction and prove some coupled fixed point theorems for such contractions in ordered $G$-metric space. Also, we support the main results by an illustrative example.

-EMAP5 is a numerical software package designed to model electromagnetic problems. It employs the finite element method (FEM) to analyze a volume, and employs the method of moments (MoM) to analyze the region exterior to the FEM volume. The two methods are coupled by enforcing the continuity of the tangential fields on the interface. Dielectrics, lossy dielectrics and metal objects can be model...

In this paper we develop the Lagrangian and multisymplectic structures of the Heisenberg magnet (HM) model which are then used as the basis for geometric discretizations of HM. Despite a topological obstruction to the existence of a global Lagrangian density, a local variational formulation allows one to derive local conservation laws using a version of Nöther’s theorem from the formal variatio...

To assess and optimise the effect of multi-layered trim for the reduction of noise and vibration transmission, design engineers greatly depend on CAE tools. Mostly, these are based on element based simulation techniques such as the Finite Element Method (FEM). In practise, however, these methods are limited to low-frequency simulations due to the strongly increasing computational cost with freq...