Numerical Simulation of Elastic and Thermoelastic Wave Propagation in Two-Dimensional Classical and Generalized Coupled Thermoelasticity

2010 ◽  
Author(s):  
S. K. Hosseini zad ◽  
A. Komeili ◽  
A. H. Akbarzadeh ◽  
M. R. Eslami
Keyword(s):  
Wave Propagation ◽  
Two Dimensional ◽  
Governing Equations ◽  
Fe Method ◽  
Finite Element Scheme ◽  
Thermoelastic Wave ◽  
Virtual Displacement ◽  
Coupled Thermoelasticity ◽  
Time Domains ◽  
Thermoelastic Waves

This study concentrates on the simulation of elastic and thermoelastic wave propagation in two-dimensional thermoelastic regions based on the classical and generalized coupled thermoelasticity. A finite element scheme is employed to obtain the field variables directly in the space and time domains. The FE method is based on the virtual displacement and the Galerkin technique, which is directly applied to the governing equations. The Newmark algorithm is used to solve the FE problem in time domain. Solving 2D coupled thermoelasticity equations leads to obtain the distribution of temperature, displacement and stresses through the domain. The problem is solved for two different type of boundary conditions (BCs), and the behavior of temperature, displacement and stress waves according to these BCs and based on the classical and generalized coupled thermoelasticity theories are shown and compared with each other. Several characteristics of the thermoelastic waves in two-dimensional domains are discussed according to this analysis.

Heat Transfer Due to Thermoelastic Wave Propagation in a Porous Rod

2021 ◽  
Vol 143 (4) ◽  
Author(s):  
Baljeet Singh
Keyword(s):  
Heat Transfer ◽  
Wave Propagation ◽  
Thermal Relaxation ◽  
Porous Solid ◽  
Governing Equations ◽  
Thermoelastic Wave ◽  
One Dimensional ◽  
Circular Frequency ◽  
Thermoelastic Waves ◽  
Homogeneous Linear

Abstract This paper investigates the propagation of thermoelastic waves in a homogeneous, linear, and isotropic porous solid. For physical and mathematical simplicity, one-dimensional wave propagation in a porous solid rod is considered to explain the concept of heat transfer caused by motion. The solutions of governing equations show that the transfer of heat in a porous rod is not only due to the conduction but also produced by the local particle displacement phenomenon. It is observed that the time-averaged transfer of heat depends on the circular frequency, porosity, thermal conductivity, thermal relaxation, specific heat, and other material coefficients.

Classical and Generalized Coupled Thermoelasticity of a Layer

2010 ◽  
Author(s):  
S. K. Hosseini Zad ◽  
M. R. Eslami
Keyword(s):  
Finite Element ◽  
Extended Period ◽  
Stress Waves ◽  
Finite Element Scheme ◽  
Coupled Thermoelasticity ◽  
Element Scheme ◽  
One Dimensional ◽  
Different Types ◽  
Time Domains ◽  
Thermoelastic Waves

A one-dimensional thermoelastic region is modeled based on the classical and generalized coupled thermoelasticity theories, and a finite element scheme is employed to obtain the field variables directly in the space and time domains. The problem is solved for two different types of boundary conditions (BCs), and the behavior of temperature, displacement and stress waves according to these BCs and based on the classical and generalized coupled thermoelasticity theories are shown and compared with each other. Several characteristics of thermoelastic waves are examined according to this analysis, and comparison between the behavior of classical and generalized coupled thermoelasticity theories in extended period of time is made to examine the damping effects of each theory.

scholarly journals The Propagation of Thermoelastic Waves in Anisotropic Media of Orthorhombic, Hexagonal, and Tetragonal Syngonies

2017 ◽  
Vol 2017 ◽  
pp. 1-9
Author(s):  
Nurlybek A. Ispulov ◽  
Abdul Qadir ◽  
Marat Zhukenov ◽  
Erkin Arinov
Keyword(s):  
Wave Propagation ◽  
Fundamental Solutions ◽  
Thermoelastic Medium ◽  
Thermoelastic Wave ◽  
Economic Implications ◽  
First Order ◽  
The Given ◽  
Thermoelastic Waves ◽  
Hexagonal Syngony ◽  
Equations Of Motions

The investigation of wave propagation in elastic medium with thermomechanical effects is bound to have important economic implications in the field of composite materials, seismology, geophysics, and so on. In this article, thermoelastic wave propagation in anisotropic mediums of orthorhombic and hexagonal syngony having heterogeneity along z-axis is studied. Such medium has second-order axis symmetry. By using analytical matriciant method, a set of equations of motions in thermoelastic medium are reduced to an equivalent set of the first-order differential equations. In the general case, for the given set of equations, structures of fundamental solutions are made and dispersion relations are obtained.

Acoustic wave propagation in two dimensional sheared ducted flows

1997 ◽  
Author(s):  
E. Longatte ◽  
P. Lafon ◽  
S. Candel ◽  
E. Longatte ◽  
P. Lafon ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Acoustic Wave ◽  
Two Dimensional ◽  
Acoustic Wave Propagation

scholarly journals Influence of a Standing Wave Flow-Field on the Dynamics of a Spray Diffusion Flame

Fluids ◽  
2021 ◽  
Vol 6 (1) ◽  
pp. 27
Author(s):  
J. Barry Greenberg ◽  
David Katoshevski
Keyword(s):  
Liquid Phase ◽  
Flow Field ◽  
Standing Wave ◽  
Diffusion Flame ◽  
Stokes Number ◽  
Flame Height ◽  
Wave Flow ◽  
Two Dimensional ◽  
Governing Equations ◽  
First Time

A theoretical investigation of the influence of a standing wave flow-field on the dynamics of a laminar two-dimensional spray diffusion flame is presented for the first time. The mathematical analysis permits mild slip between the droplets and their host surroundings. For the liquid phase, the use of a small Stokes number as the perturbation parameater enables a solution of the governing equations to be developed. Influence of the standing wave flow-field on droplet grouping is described by a specially constructed modification of the vaporization Damkohler number. Instantaneous flame front shapes are found via a solution for the usual Schwab–Zeldovitch parameter. Numerical results obtained from the analytical solution uncover the strong bearing that droplet grouping, induced by the standing wave flow-field, can have on flame height, shape, and type (over- or under-ventilated) and on the existence of multiple flame fronts.

scholarly journals Study on X-ray Induced Two-Dimensional Thermal Shock Waves in Carbon/Phenolic

Materials ◽  
2021 ◽  
Vol 14 (13) ◽  
pp. 3553
Author(s):  
Dengwang Wang ◽  
Yong Gao ◽  
Sheng Wang ◽  
Jie Wang ◽  
Haipeng Li
Keyword(s):  
Numerical Simulation ◽  
Shock Wave ◽  
Wave Propagation ◽  
Thermal Shock ◽  
Anisotropic Material ◽  
Energy Deposition ◽  
X Rays ◽  
Two Dimensional ◽  
X Ray ◽  
Deposition Depth

Carbon/Phenolic (C/P), a typical anisotropic material, is an important component of aerospace and often used to protect the thermodynamic effects of strong X-ray radiation. In this paper, we establish the anisotropic elastic-plastic constitutive model, which is embedded in the in-house code “RAMA” to simulate a two-dimensional thermal shock wave induced by X-ray. Then, we compare the numerical simulation results with the thermal shock wave stress generated by the same strong current electron beam via experiment to verify the correctness of the numerical simulation. Subsequently, we discuss and analyze the rules of thermal shock wave propagation in C/P material by further numerical simulation. The results reveal that the thermal shock wave represents different shapes and mechanisms by the radiation of 1 keV and 3 keV X-rays. The vaporization recoil phenomenon appears as a compression wave under 1 keV X-ray irradiation, and X-ray penetration is caused by thermal deformation under 3 keV X-ray irradiation. The thermal shock wave propagation exhibits two-dimensional characteristics, the energy deposition of 1 keV and 3 keV both decays exponentially, the energy deposition of 1 keV-peak soft X-ray is high, and the deposition depth is shallow, while the energy deposition of 3 keV-peak hard X-ray is low, and the deposition depth is deep. RAMA can successfully realize two-dimensional orthotropic elastoplastic constitutive relation, the corresponding program was designed and checked, and the calculation results for inspection are consistent with the theory. This study has great significance in the evaluation of anisotropic material protection under the radiation of intense X-rays.

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