The effect of initial stress and inhomogeneity on the thermoelastic stresses in a rotating anisotropic solid

Fahmy, Mohamed Abdelsabour; El-Shahat, T. M.

doi:10.1007/s00419-007-0150-0

Cited by 44 publications

(16 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Proceeding in a manner similar to that used in Fahmy [7], gðx þ syÞ can be determined numerically from…”

Section: Displacement Fieldmentioning

confidence: 99%

See 1 more Smart Citation

Thermoelastic Stresses in a Rotating Non-Homogeneous Anisotropic Body

Fahmy

2008

Numerical Heat Transfer, Part A: Applications

Self Cite

View full text Add to dashboard Cite

The present article concerns the investigation of the transient thermoelastic stresses in a rotating non-homogeneous micro-engineering anisotropic solid. The system of fundamental equations is solved by means of a boundary element method (BEM) and the numerical calculations are carried out for temperature, displacements and stresses. The results indicate that the effects of inhomogeneity and isotropy are very pronounced.

show abstract

“…Proceeding in a manner similar to that used in Fahmy [7], gðx þ syÞ can be determined numerically from…”

Section: Displacement Fieldmentioning

confidence: 99%

“…The boundary element method (BEM) is well known for its accuracy and efficiency in stress analysis, (see, for example, Abd-Alla et al [2], Clements [5], Fahmy [7], Lu et al [10], Zhang and Zhu [13], Zhao and Liu [14], and Zhu and Liu [15]). …”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Stresses in a Rotating Non-Homogeneous Anisotropic Body

Fahmy

2008

Numerical Heat Transfer, Part A: Applications

Self Cite

View full text Add to dashboard Cite

show abstract

“…For the case of small perturbation, the general motion differential equations for the piezoelectric material with initial stress are expressed as [28,29] …”

Section: Equations Of Wave Motion and Transfer Matrixmentioning

confidence: 99%

Wave localization in randomly disordered periodic piezoelectric rods with initial stress

Wang

Kishimoto

et al. 2008

Acta Mech. Solida Sin.

View full text Add to dashboard Cite

The elastic wave localization in disordered periodic piezoelectric rods with initial stress is studied using the transfer matrix and Lyapunov exponent method. The electric field is approximated as quasi-static. The effects of the initial stress on the band gap characteristics are investigated. The numerical calculations of localization factors and localization lengths are performed. It can be observed from the results that the band structures can be tuned by exerting the suitable initial stress. For different values of the piezoelectric rod length and the elastic constant, the band structures and the localization phenomena are very different. Larger disorder degree can lead to more obvious localization phenomenon.

show abstract

“…Schanz [2001] proposed a boundary element time-stepping procedure to treat wave propagation problems in viscoelastic and poroelastic media. Fahmy [2007] used boundary element method to obtain thermal stresses in a nonhomogeneous anisotropic solid. A more extensive applications of boundary element methods may be found in Matsumoto et al [2005]; Fahmy and El-Shahat [2008]; Canelas and Sensale [2010]; Karlis et al [2010]; Hou et al [2011]; Davi and Milazzo [2011].…”

Section: Introductionmentioning

confidence: 99%

A Time-Stepping Drbem for Magneto-Thermo-Viscoelastic Interactions in a Rotating Nonhomogeneous Anisotropic Solid

Fahmy

2011

Int. J. Appl. Mechanics

Self Cite

View full text Add to dashboard Cite

A numerical model based on the dual reciprocity boundary element method (DRBEM) for studying the transient magneto-thermo-viscoelastic stresses in a nonhomogeneous anisotropic solid subjected to a heat source is presented. The formulation is tested through its application to the problem of a solid placed in a constant primary magnetic field acting in the direction of the z-axis and rotating about this axis with a constant angular velocity. In the case of plane deformation, a numerical scheme for the implementation of the method is presented and the numerical computations are carried out for the temperature, displacement components and stress components. The validity of DRBEM is examined by considering a magneto-thermo-viscoelastic solid occupies a rectangular region and good agreement is obtained with existent results. The results obtained are presented graphically to show the effects of inhomogeneity and heat source on the temperature, displacement components and thermal stress components.

show abstract

The effect of initial stress and inhomogeneity on the thermoelastic stresses in a rotating anisotropic solid

Cited by 44 publications

References 14 publications

Thermoelastic Stresses in a Rotating Non-Homogeneous Anisotropic Body

Thermoelastic Stresses in a Rotating Non-Homogeneous Anisotropic Body

Wave localization in randomly disordered periodic piezoelectric rods with initial stress

A Time-Stepping Drbem for Magneto-Thermo-Viscoelastic Interactions in a Rotating Nonhomogeneous Anisotropic Solid

Contact Info

Product

Resources

About