In this article, classical plate theory (CPT) is reformulated using the nonlocal differential constitutive relations of Eringen to develop an equivalent continuum model for orthotropic triangular nanoplates. The equations of motion are derived and the Galerkin’s approach in conjunction with the area coordinates is used as a basis for the solution. Nonlocal theories are employed to bring out the...

Several theories are available in the literature to predict ultimate shear resistance of plate girders, generally known as tension field theories. It is already found out, by many researchers, that prediction majority models mostly over-conservative for non-rigid end post steel girders. So, there a need development accurate finite element models, which could strength better than theoretical mod...

Abstract Starting from the three-dimensional theory of linear elasticity, we arrive at exact plate problem by use Taylor series expansions. Applying consistent-approximation approach to this leads hierarchic generic theories. Mathematically, these theories are systems partial-differential equations (PDEs), which contain coefficients expansions displacements (displacement coefficients) as variab...

It is commonly known that nonlinearities in structures can lead to large amplitude responses that are not predicted by traditional theories. Thus a linear design could lead to premature failure if the structure actually behaves nonlinearly, or, conversely, nonlinearities could potentially be exploited to reduce stresses relative to the best possible design with a purely linear structure. When e...

We examine recent results on measurements of the magnetic penetration depth in cuprate superconductors, with particular emphasis on our results obtained with the microstrip and parallel-plate resonator techniques. The results show that the magnetic penetration depth temperature dependence in YBa2Cu307-a is not consistent with a simple scaled weak-coupled BCS temperature dependence. We present t...

speed control hand plate TIle magnitude of the kinesthetic spatial aftereffect following different angular displacements from the vertical and horizontal planes during stimulation was examined in two experiments using 278 Ss. Both Gibson's direct and indirect effect were found when angular displacements were away from the vertical, however, a bimodal pattern was observed in both experiments whe...

We show that edge stresses introduce intrinsic ripples in freestanding graphene sheets even in the absence of any thermal effects. Compressive edge stresses along zigzag and armchair edges of the sheet cause out-of-plane warping to attain several degenerate mode shapes. Based on elastic plate theory, we identify scaling laws for the amplitude and penetration depth of edge ripples as a function ...

An elastic analysis is presented for the tensile stretching and bending of a plate containing a surface crack penetrating part-through the thickness, Fig. 1. The treatment is approximate, in that the two-dimensional generalized plane stress and KirchhoffPoisson plate bending theories are employed, with the part-through cracked section represented as a continuous line spring. The spring has both...

The Peruvian Andes is a prime example of highly-elevated topography generated by oceanic plate subduction. As a result, several studies have been made to further understand the formation of the Andean Mountain Range, but as indicated by previous studies (Schildgen et al, 2007), researchers are still unable to ascertain the of the magnitude of the uplift solely based on structural history due to...

Rapid progress in the reduction of substrate thickness for silicon-based microelectronics leads to a significant reduction of the device bending stiffness and the need to address its implication for the thermo-mechanical fatigue behavior of metallization layers. Results on 5 µm thick Cu films reveal a strong substrate thickness-dependent microstructural evolution. Substrates with hs = 323 and 2...