In this paper, the nonlinear vibrations analysis of functionally graded (FG) rectangular plate in contact with fluid are investigated analytically using first order shear deformation theory (FSDT). The pressure exerted on the free surface of the plate by the fluid is calculated using the velocity potential function and the Bernoulli equation. With the aid of von Karman nonlinearity strain-displ...

Contents 1 Developments and comments page 5 1.1 Measure-valued processes as stochastic dynamic LLN for interacting particles; duality of one-dimensional processes 5 1.2 Discrete nonlinear Markov games and controlled processes; modeling deception 9 1.3 Nonlinear quantum dynamic semigroups and nonlinear Schrödinger equation 13 1.4 Curvilinear Ornstein-Uhlenbeck processes (linear and nonlinear) an...

The computation of solution paths for continuation problems requires the solution of a sequence of nonlinear systems of equations. Each nonlinear system can be solved by computing the solution of a succession of linear systems of equations determined by Jacobian matrices associated with the nonlinear system of equations. Points on the solution path where the Jacobian matrix is singular are refe...

Experimental results for the cracking of heterogeneous clay samples during desiccation are reported, and an associated numerical model is developed comparison. The contain embedded rigid inclusions to induce strain fields drying. crack paths local monitored process using digital image correlation. A phase field initiation propagation introduced compared with experimental results. qualitative ag...

While information technology (IT) serves as a new source of sustainable competitive advantage for firms, it also induces hyperturbulent environments (or hyperturbulence) that erode that sustainable competitive advantage. In this paper, we posit that these contradictions might be due to cross-level nonlinear causality between firm-level IT-based strategic actions and collective-level IT-induced ...

We present the mechanism and the extent of increase in the oxygen anion diffusivity in Y2O3 stabilized ZrO2 (YSZ) under biaxial lattice strain. The oxygen vacancy migration paths and barriers in YSZ as a function of lattice strain was assessed computationally using density functional theory (DFT) and nudged elastic band (NEB) method. Two competing and non-linear processes acting in parallel wer...

In classical mechanical testing, determining the stress and strain states of complex shape specimens turns out to be very challenging, especially in most deformed regions. latter case, when not enough material is present, non-destructive testing needed for corresponding state. this study, a novel approach, based on local quasi-non-destructive instrumented indentation technique (IIT) coupled wit...

The structural relationship between the parent and product phases in martensitic transformation from ? phase is described. atomic movements leading to martensite are accomplished by a long-range shear {112} < 111 > that transforms lattice short-wavelength displacement or shuffle {110} 110 induces correct stacking. microstructures arising out of these paths depend on which modes initiates transf...

The extracellular matrix (ECM) is a complex assembly of structural proteins that provides physical support and biochemical signaling to cells in tissues. The mechanical properties of the ECM have been found to play a key role in regulating cell behaviors such as differentiation and malignancy. Gels formed from ECM protein biopolymers such as collagen or fibrin are commonly used for 3D cell cult...