Based on a newly developed canonical dual transformation methodology, this paper presents a potentially useful duality theory and method for solving fully nonlinear distributed-parameter control problems. The extended Lagrange duality and the interesting triality theory proposed recently in finite deformation theory are generalized into nonconvex dissipative Hamiltonian systems. It is shown tha...

We have developed an adaptive mesh refinement technique that rezones the given domain for a fixed number of quadrilateral elements such that fine elements are generated within the severely deformed region and coarse elements elsewhere. Loosely speaking, the area of an element is inversely proportional to the value of the deformation measure at its centroid. Here we use the temperature rise at a...

INTRODUCTION White Structure Flaking (WSF) is a type of surface damage responsible for some early failures in wind turbine gearbox bearings. WSF has been associated with microstructural changes registered close to the damaged surface that appear to be white after etching, hence the name White Etching Areas (WEAs). Local hydrogen liberation from lubricants [2] and adiabatic shear bands [3] have...

The thermodynamic dislocation theory presented in preceding papers is used here to describe shear-banding instabilities. Central ingredients of the theory are a thermodynamically defined effective configurational temperature, and a formula for the plastic deformation rate determined by thermally activated depinning of entangled dislocations. An important feature of this paper is an interpretati...

In the current work, process-related thermo-mechanical changes in the rivet microstructure, joint local and global mechanical properties, and their correlation with the rivet plastic deformation regime were investigated for Ti-6Al-4V (rivet) and glass-fiber-reinforced polyester (GF-P) friction-riveted joints of a single polymeric base plate. Joints displaying similar quasi-static mechanical per...

This paper presents a thermoelastic bending analysis of functionally graded sandwich plates by using a new quasi-3D hybrid type higher order shear deformation theory (HSDT). The mathematical model contains only 5 unknowns as the first order shear deformation theory (FSDT). The nonlinear term of the temperature field is modeled in such way that can be different from the shape functions of the di...

We use considerations of energy balance and dissipation to derive a self-consistent version of the shear-transformation-zone (STZ) theory of plastic deformation in amorphous solids. The theory is generalized to include arbitrary spatial orientations of STZs. Continuum equations for elasto-plastic material and their energy balance properties are discussed.

in this study, dynamic buckling of embedded laminated nanocomposite plates is investigated. the plates are reinforced with single-walled carbon nanotubes (swcnts) where to obtain the equivalent material properties of them, mori-tanaka model is applied. based on the sinusoidal shear deformation theory (ssdt), the motion equations are derived using energy method and hamilton's principal. the...

In the framework of refined theory, which takes into account transverse shear deformation, solution problem on steady state vibrations orthotropic doubly curved panel with arbitrary number massive absolutely rigid inclusions configuration that penetrate through all its thickness taking harmonic in time distributed external load surface is constructed. Inclusions have different types connections...

Abstract This paper presents an analytical solution for the free vibration behavior of functionally graded carbon nanotube-reinforced composite (FG-CNTRC) doubly curved shallow shells with integrated piezoelectric layers. Here, linear distribution electric potential across thickness layer and five different types nanotube (CNT) distributions through direction are considered. Based on four-varia...