The generalized coupled thermo-viscoelasticity of hollow sphere subjected to thermal symmetric shock load is presented in this paper. To overcome the infinite speed of thermal wave propagation, the Lord-Shulman theory is considered. Two coupled equations, namely, the radial equation of motion and the energy equation of a hollow sphere are obtained in dimensionless form. Resulting equations are ...

In this paper, the vibrations of thin plate in modified couple stress thermoelastic medium by using Kirchhoff- Love plate theory has been investigated. The governing equations of motion and heat conduction equation for Lord Shulman (L-S) [1] theory are written with the help of Kirchhoff- Love plate theory. The thermoelastic damping of micro-beam resonators is analyzed by using the normal mode a...

The present study is concerned with the variational principle and plane wave propagation in double porous thermoelastic infinite medium. Lord-Shulman theory [2] of thermoelasticity with one relaxation time has been used to investigate the problem. It is found that for two dimensional model, there exists four coupled longitudinal waves namely longitudinal wave (P), longitudinal thermal wave (T),...

Abstract The reflection and refraction phenomenon of propagation waves in couple stress micropolar thermoviscous elastic solid media with independent viscoelastic properties have been studied. structure the model has taken such that plane interface is divides given into two half spaces perfect contact. Here, we find there are five waves, one them propagating independently while others set coupl...

This paper represents a revised version of the lectures, delivered by author at KROMSH-2019. These lectures are devoted to describing few different ways constructing model representation for self-adjoint and unitary operators acting in Pontryagin spaces, comparison between them. Two these models based on regularized integral Krein-Langer numerical sequence generated powers (in sense spaces) ope...

The mathematical knowledge for teaching (MKT) model emerged from the advances proposed by Shulman in 1986 and 1987 as part of teacher’s professional model, refers to that teacher employs carry out instruction process classroom. MKT has become an international benchmark research into mathematics education boasts a great scope impact date. objective this study is conduct systematic review way whi...

A new myxosporean species, Trilosporoides platessae gen. et sp. n. (Multivalvulida), is described from the gallbladder of the plaice Pleuronectes platessa L. (Pleuronectidae) from Denmark. The myxospore of T. platessae is conical in side view, with a 24 microm long, pointed posterior projection. In apical view, the myxospore (diameter 9.4 microm) is round, trilobed and with three spherical pola...

Many scientists expect the eventual development of intelligent software programs capable of closely emulating human brains, to the point of substituting for human labor in almost every economic niche. As software, such emulations could be cheaply copied, with copies subsequently diverging and interacting with their copy-relatives. This paper examines a set of evolutionary pressures on interacti...

This study describes the TPACK-Developing Instructional Model which prescribes an instructional process for developing pre-service teachers’ Technological Pedagogical Content Knowledge (TPACK) during the instruction of Information and Communication Technology (ICT) tools. This model proposes three phases for developing teachers’ TPACK through ICT instruction. The phases are: fostering teachers’...

Cancer, which is known by different names across the world, is a pathological condition that leads to the abnormal and uncontrolled growth of normal body cells. Due to ever increasing predisposing risk factors, high recurrence rate, and chronicity, cancer are counted as second major cause of death after the cardiovascular diseases (Agarwal and Ramakant, 2008; Naeem et al., 2008; Shulman et al.,...