In this paper, a nonlinear constitutive law and a curve fitting, two relationships between the stress-strain and the shear stress-strain for sandstone material were used to obtain a second-order polynomial constitutive equation. Based on the established polynomial constitutive equations and Newton’s second law, a mathematical model of the non-homogeneous nonlinear wave equation under an externa...

We study the dynamic yield stress in dense colloidal suspensions by analyzing the time evolution of the pair distribution function for colloidal particles interacting through a Lennard-Jones potential. We find that the equilibrium pair distribution function is unstable with respect to a certain anisotropic perturbation in the regime of low temperature and high density. By applying a bifurcation...

In this paper, we revisit Radlow's innovative approach to diffraction by a penetrable wedge means of double Wiener--Hopf technique. We provide constructive way obtaining his ansatz and give yet another reason for why cannot be the true solution problem at hand. The two-complex-variable equation is reduced system two equations, one which contains plus some correction term consisting an explicitl...

Abstract The implementation of chatbot technology is evolving rapidly in the banking industry, yet customer acceptance behind. aim present paper to identify factors that influence consumers’ intention use applied industry. measurement development and hypotheses were based on model extended with compatibility, customers’ perceived privacy risk awareness service. sample contains 287 respondents, ...

Microcantilever biosensors in the static operation mode translate molecular recognition into a surface stress signal. Surface stress is derived from the nanomechanical cantilever bending by applying Stoney's equation, derived more than 100 years ago. This equation ignores the clamping effect on the cantilever deformation, which induces significant errors in the quantification of the biosensing ...

Plate-type structural members are commonly used in engineering applications like aircraft, ships nuclear reactors etc. These structural members often have cracks arising from manufacture or from material defects or stress concentrations. Designing a structure against fracture in service involves consideration of strength of the structure as a function of crack size, dimension and the applied lo...

A new analysis for stress transfer from the matrix to a fragmented fiber through an imperfect interface was derived using a Bessel-Fourier series stress function with some important additional polynomial terms. The solution satisfies equilibrium and compatibility every place and satisfies most boundary conditions exactly. The only approximation is that the axial stress in the fiber at a fiber b...

This paper presents a new mathematical relationship for representing the stress-strain behavior of structural steel at elevated temperatures. The relationship is constructed by fitting two versatile, continuous equations to experimental data. The first equation, a general stress-strain equation previously proposed by Poh, is used for characterizing the stress-strain data. The second equation is...

Stress development is one of the significant factors leading to the failure of thermal barrier coating (TBC) systems. In this work, stress development in the two phase mixed zone named phase transition layer (PTL), which grows between the thermally grown oxide (TGO) and the bond coat (BC), is investigated by using two different homogenization models. A constitutive equation of the PTL based on ...