Der vorliegende Band enthált sechs Beitrage, in denen punktuell und exemplarisch der Stand der Forschung beleuchtet wird. Ein Beitrag von Codling und Frasinski beschreibt in erster Linie Experimente zum noch wenig verstandenen Phânomen der dissoziativen Ionisation von Molekülen, bei dem diese in einem intensiven Laserfeld mehrere Elektronén verlieren und in Ionen mit hoher kinetischer Energie zerfallen. Ein wesentlicher Teil dieses Beitrags widmet sich einer von den Autoren entwickelten Auswertungstechnik, welche die Korrelationen zwischen den Fiugzeiten emittierter Ionen und Elektronén sichtbar macht. Es folgen drei Beitrage zur Théorie. Schmelcher und Cederbaum beschreiben Effekte starker statischer Felder, die nur dann zu verstehen sind, wenn die Nicht-Separation der Schwerpunktsbewegung im auBeren Magnetfeld korrekt beriicksichtigt wird. Dies fiihrt

Extended Irreversible Thermodynamics

A new nonlocal theory of generalized thermoelastic materials with voids based on Eringen’s nonlocal elasticity and Caputo fractional derivative is established. The one-dimensional form of the above...

Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer

A three-dimensional model of the generalized thermoelasticity without energy dissipation under temperature-dependent mechanical properties is established. The modulus of elasticity is taken as a linear function of the reference temperature. The resulting formulation in the context of Green and Naghdi model II is applied to a half-space subjected to a time-dependent heat source and traction free surface. The normal mode analysis and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled equations. Numerical results for the field quantities are given in the physical domain and illustrated graphically. The results are also compared to results obtained in the case of temperature-independent modulus of elasticity.

Eigenvalue approach in a three-dimensional generalized thermoelastic interactions with temperature-dependent material properties

This article highlights on the study of coupled plasma, thermal and elastic waves within an orthotropic infinite semiconducting medium in context of photothermal transport process having a spherica...

Photo-thermo-elastic wave propagation in an orthotropic semiconductor with a spherical cavity and memory responses

The purpose of this study is to provide a method to investigate the effects of thermal relaxation times in a poroelastic material by using the finite element method. The formulations are applied under the Green and Lindsay model, with four thermal relaxation times. Due to the complex governing equation, the finite element method has been used to solve these problems. All physical quantities are presented as symmetric and asymmetric tensors. The effects of thermal relaxation times and porosity in a poro-thermoelastic medium are studied. Numerical computations for temperatures, displacements and stresses for the liquid and the solid are presented graphically.

https://www.mdpi.com/2073-8994/12/3/488/pdf

A GL Model on Thermo-Elastic Interaction in a Poroelastic Material Using Finite Element Method

A three-dimensional problem for a homogeneous isotropic thermoelastic half-space solids with temperature-dependent mechanical properties subject to a time-dependent heat sources on the boundary of the half-space which is traction free is considered in the context of the generalized thermoelasticity with dual-phase-lag effects. The normal mode analysis and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled field equations. Numerical results for the temperature, thermal stresses and displacement distributions are represented graphically and discussed. A comparison is made with the result obtained in the absence of the temperature dependent elastic modulus. Various problems of generalized thermoelasticity and conventional coupled dynamical thermoelasticity are deduced as special cases of our problem.

Temperature Dependence of the Elastic Modulus in Three-Dimensional Generalized Thermoelasticity with Dual-Phase-Lag Effects

A three-dimensional problem for a homogeneous isotropic thermo-elastic half-space subjected to a time-dependent heat source on the boundary of the space, which is traction free, is considered in the context of the Green and Naghdi model II and III (without energy dissipation and with energy dissipation, respectively) of generalized thermo-elasticity. Normal mode analysis and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled field equations. Numerical results for the real parts of the temperature, thermal stresses, and displacement distributions are presented graphically and we analyze the obtained results in various cases—(i) for different values of the space variables; (ii) for different values of the time instant, and (iii) for different values of the Green–Naghdi parameter. Comparisons are made with the results for the real parts of the temperature, thermal stresses, and displacement distributions predicted by the Green–Naghdi model II and Green–Naghdi model III in these cases also.

Transient Disturbance in a Three-Dimensional Thermo-elastic Half-Space Under Green–Naghdi Theory

A three-dimensional problem for a homogeneous isotropic thermoelastic half-space with temperature-dependent mechanical properties subjected to a time-dependent heat source on the boundary of the space, which is traction free is considered in the context of the generalized thermoelasticity with dual-phase-lag effects. Normal mode analysis and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled field equations. Numerical results for the temperature, thermal stresses and displacement distributions are presented graphically and analyze the results. A comparison is made with the results obtained in case of temperature-independent modulus of elasticity. Various problems of generalized thermoelasticity and conventional coupled dynamical thermoelasticity have been deduced as special cases of our problem.

Temperature Dependence of an Elastic Modulus in Three-dimensional Generalized Thermoelasticity With Dual-phase-lag Effects

In the present paper, we study convolution properties for certain classes of meromophic multivalent functions. Further, with the help of convolution, coefficient estimates and inclusion relationship for these classes are also discussed.

Convolution Properties for Certain Classes of Meromorphic p-Valent Functions Defined by Subordination

The main focus of this work is to employ the Daubechies wavelet approximation to analyze the Griffith crack in nonlocal magneto-elastic horizontally shear (SH) wave propagation. It is assumed that the crack is located in a homogeneous isotropic nonlocal magneto-elastic strip of finite thickness and infinite length. The governing mixed boundary value problem is converted to a dual integral equation by employing Fourier transformation. This dual integral equation is further converted to a Fredholmn integral equation of the second kind by means of Abel transformation. A wavelet-based approximation scheme is employed to solve the integral equation as it is not solvable analytically. Griffith crack analysis using Daubechies wavelets has not been studied previously in the literature. The stress intensity factor (SIF) at the crack tip is determined numerically after solving the integral equation. In the end, the effect of the magnetic field, strip breath, incident angle of the shear wave and the nonlocal parameter on stress intensity factor (SIF) at the crack tip is explained through various graphical representations. 

Nantu Sarkar

Papers

Temperature Dependence of the Elastic Modulus in Three-Dimensional Generalized Thermoelasticity with Dual-Phase-Lag Effects

Transient Disturbance in a Three-Dimensional Thermo-elastic Half-Space Under Green–Naghdi Theory

Temperature Dependence of an Elastic Modulus in Three-dimensional Generalized Thermoelasticity With Dual-phase-lag Effects

Convolution Properties for Certain Classes of Meromorphic p-Valent Functions Defined by Subordination

Griffith crack analysis in nonlocal magneto-elastic strip using Daubechies wavelets