Abstract. Balancing Neumann-Neumann methods are extented to mixed formulations of the linear elasticity system with discontinuous coeÆcients, discretized with mixed nite or spectral elements with discontinuous pressures. These domain decomposition methods implicitly eliminate the degrees of freedom associated with the interior of each subdomain and solve iteratively the resulting saddle point S...

2 Kinematics 12 2.1 Geometric interpretation of the deformation gradient . . . . . . . . . . . . . . . . . . 12 2.2 Small strain and linearization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.3 Transformations of a deformation gradient . . . . . . . . . . . . . . . . . . . . . . . . 14 2.4 Compatibility conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

There are three sex ratio strategies (SRS) in nature-male-biased sex ratio, female-biased sex ratio and, equal sex ratio. It was R. A. Fisher who first explained why most species in nature display a sex ratio of ½. Consequent SRS theories such as Hamilton's local mate competition (LMC) and Clark's local resource competition (LRC) separately explained the observed deviations from the seemingly u...

This paper proposed analytical solutions for the buckling analysis of rectangular single-layered graphene sheets under in-plane loading on all edges simply is supported. The characteristic equations of the graphene sheets are derived and the analysis formula is based on the nonlocal Mindlin plate. This theory is considering both the small length scale effects and transverse shear deformation ef...