1. Abstract Micropolar field theory represents an extension of the classical Cauchy continuum theory. In this paper, a topology optimization procedure for maximum stiffness is applied to structural elements made of micropolar (Cosserat) solids. Some special problems are dealt with, and particular attention is given to models that refer to structural interfaces. The results are in good agreement...

In the present manuscript, the second strain gradient (SSG) is utilized to investigate the primary resonance of a nonlinear Euler-Bernoulli nanobeam is analyzed in this paper...

We study the nature of the QCD vacuum at general number of flavors N F by numerical simulations on the lattice. Combining the results with those of the perturbation theory, we propose the following picture: 1) For N F ≥ 17, there exists only one IR fixed point at vanishing gauge coupling, i.e., the theory in the continuum limit is trivial. 2) For 16 ≥ N F ≥ 7, there is a non-trivial fixed point...

1 Some remarks, some results 5 1.1 The point of formal topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1.2 A formal topology is. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.3 A summary of developments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 1.3.1 A toolbox to do mathematics in type theory . . . . . . . . . . . . . . . ...

in this paper, a closed form solution for bending and free vibration analyses of simply supported rectangular laminated composite plates is presented. the static and free vibration behavior of symmetric and antisymmetric laminates is investigated using a refined first-order shear deformation theory. the winkler–pasternak two-parameter model is employed to express the interaction between the lam...

A bstract Dark matter may self-interact through a continuum of low-mass states. This happens if dark couples to strongly-coupled nearly-conformal hidden sector. type theory is holographically described by brane-localized interacting with bulk fields in slice 5D anti-de Sitter space. The long-range potential this scenario depends on non-integer power the spatial separation, contrast Yukawa gener...

this paper presents the thermal vibration analysis of double-layer graphene sheet embedded in polymer elastic medium, using the plate theory and nonlocal continuum mechanics for small scale effects. the graphene is modeled based on continuum plate theory and the axial stress caused by the thermal effects is also considered. nonlocal governing equations of motion for this double-layer graphene s...

Necessary and sufficient conditions for existence and uniqueness of solutions are developed for twofold saddle point problems which arise in mixed formulations of problems in continuum mechanics. This work extends the classical saddle point theory to accommodate nonlinear constitutive relations and the twofold saddle structure. Application to problems in incompressible fluid mechanics employing...

We formulate supersymmetric Euclidean spacetime Ad lattices whose classical continuum limits are U(N) supersymmetric Yang-Mills theories with sixteen supercharges in d = 1, 2, 3 and 4 dimensions. This family includes the especially interesting N = 4 supersymmetry in four dimensions, as well as a Euclidean path integral formulation of Matrix Theory on a one dimensional lattice.