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Journal articles on the topic 'Microstretch materials'

Author: Grafiati

Published: 10 March 2023

Last updated: 31 July 2025

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1

Kirchner, Nina, and E. Kirchner. "Modeling of Generalized Continua on Macroscopic Scales: Towards Computational Mechanics of Microstretch Continua." Materials Science Forum 539-543 (March 2007): 2545–50. http://dx.doi.org/10.4028/www.scientific.net/msf.539-543.2545.

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First numerical results for microstretch continua, embedded in a hierarchy of generalized continuum models,will be presented. The governing equations are derived using a variational approach, providing an alternative to Eringens approach of modeling microstretch continua. A constitutive theory for linear elastic microstretch continua is formulated and used in the simulations. Simple examples will be investigated in order to demonstrate the compatibility of the model hierarchy. The results obtained so far are promising and suggest that a further in-depth analysis of (in)elastic microstretch con

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2

Passarella, F., V. Tibullo, and V. Zampoli. "On microstretch thermoviscoelastic composite materials." European Journal of Mechanics - A/Solids 37 (January 2013): 294–303. http://dx.doi.org/10.1016/j.euromechsol.2012.07.002.

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3

Singh, Dilbag, Neela Rani, and Sushil Kumar Tomar. "Dilatational waves at a microstretch solid/fluid interface." Journal of Vibration and Control 23, no. 20 (2016): 3448–67. http://dx.doi.org/10.1177/1077546316631158.

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The present work is concerned with the study of reflection and transmission phenomena of dilatational waves at a plane interface between a microstretch elastic solid half-space and a microstretch liquid half-space. Eringen's theory of micro-continuum materials has been employed for addressing the mathematical analysis. Reflection and transmission coefficients, corresponding to various reflected and transmitted waves, have been obtained when a plane dilatational wave strikes obliquely at the interface after propagating through the solid half-space. It is found that the reflection and transmissi

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4

Marin, Marin. "Lagrange identity method for microstretch thermoelastic materials." Journal of Mathematical Analysis and Applications 363, no. 1 (2010): 275–86. http://dx.doi.org/10.1016/j.jmaa.2009.08.045.

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5

KUMAR, S., J. N. SHARMA, and Y. D. SHARMA. "GENERALIZED THERMOELASTIC WAVES IN MICROSTRETCH PLATES LOADED WITH FLUID OF VARYING TEMPERATURE." International Journal of Applied Mechanics 03, no. 03 (2011): 563–86. http://dx.doi.org/10.1142/s1758825111001135.

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In the present paper, the theory of generalized thermo-microstretch elasticity has been employed to study the propagation of straight and circular crested waves in microstretch thermoelastic plates bordered with inviscid liquid layers (or half-spaces), with varying temperature on both sides. The secular equations governing the wave motion in both rectangular and cylindrical plates have been investigated. The results in the case of thin (long wavelength) and thick (short wavelength) plates have also been obtained and discussed as special cases of this work. The secular equation in the case of m

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6

Marin, Marin. "A domain of influence theorem for microstretch elastic materials." Nonlinear Analysis: Real World Applications 11, no. 5 (2010): 3446–52. http://dx.doi.org/10.1016/j.nonrwa.2009.12.005.

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7

Kumar, Rajneesh, Sanjeev Ahuja, and S. K. Garg. "Surface Wave Propagation in a Microstretch Thermoelastic Diffusion Material under an Inviscid Liquid Layer." Advances in Acoustics and Vibration 2014 (August 4, 2014): 1–11. http://dx.doi.org/10.1155/2014/518384.

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The present investigation deals with the propagation of Rayleigh type surface waves in an isotropic microstretch thermoelastic diffusion solid half space under a layer of inviscid liquid. The secular equation for surface waves in compact form is derived after developing the mathematical model. The dispersion curves giving the phase velocity and attenuation coefficients with wave number are plotted graphically to depict the effect of an imperfect boundary alongwith the relaxation times in a microstretch thermoelastic diffusion solid half space under a homogeneous inviscid liquid layer for therm

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8

Ieşan, Dorin. "Deformation of heterogeneous microstretch elastic bars." Journal of Mechanics of Materials and Structures 15, no. 3 (2020): 345–59. http://dx.doi.org/10.2140/jomms.2020.15.345.

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9

Marin, M., I. Abbas, and C. Carstea. "A Semi-Group of Contractions in Elasticity of Microstretch Materials." Journal of Computational and Theoretical Nanoscience 14, no. 3 (2017): 1634–39. http://dx.doi.org/10.1166/jctn.2017.6488.

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10

Nappa, Ludovico. "THERMAL STRESSES IN MICROSTRETCH ELASTIC CYLINDERS." Journal of Thermal Stresses 18, no. 5 (1995): 537–50. http://dx.doi.org/10.1080/01495739508946319.

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11

Kirchner, N., and P. Steinmann. "Mechanics of extended continua: modeling and simulation of elastic microstretch materials." Computational Mechanics 40, no. 4 (2006): 651–66. http://dx.doi.org/10.1007/s00466-006-0131-0.

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12

Kumar, Arvind, and Praveen Ailawalia. "Dynamic problem in piezo-electric microstretch thermoelastic medium under laser heat source." Multidiscipline Modeling in Materials and Structures 15, no. 2 (2019): 473–91. http://dx.doi.org/10.1108/mmms-04-2018-0077.

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Purpose The purpose of this paper is to study the thermal and mechanical disturbances in a piezo-electric microstretch thermoelastic medium due to the presence of ultra-short laser pulse as input heat source. Design/methodology/approach The medium is subjected to normal force, tangential force and thermal source. The solution of the problems is developed in terms of normal modes. Mathematical expressions have been obtained for normal stress, tangential stress, microstress, dielectric displacement vector and temperature change. Findings The numerically computed results are shown graphically. Th

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13

Chiriţă, Stan, and Cătălin Galeş. "A Mixture Theory for Microstretch Thermoviscoelastic Solids." Journal of Thermal Stresses 31, no. 11 (2008): 1099–124. http://dx.doi.org/10.1080/01495730802250847.

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14

Kumar,, Rajneesh, and Geeta Partap,. "Circular Crested Waves in a Microstretch Elastic Plate." Science and Engineering of Composite Materials 14, no. 4 (2007): 251–70. http://dx.doi.org/10.1515/secm.2007.14.4.251.

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15

Scalia, A. "Extension, Bending and Torsion of Anisotropic Microstretch Elastic Cylinders." Mathematics and Mechanics of Solids 5, no. 1 (2000): 31–40. http://dx.doi.org/10.1177/108128650000500103.

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16

Yan, Zhen, and WenJie Feng. "Some Theorems in the Theory of Microstretch Thermomagnetoelectroelasticity." Acta Mechanica Solida Sinica 29, no. 2 (2016): 145–58. http://dx.doi.org/10.1016/s0894-9166(16)30103-3.

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17

Partap, Geeta, and Nitika Chugh. "Thermoelastic damping in microstretch thermoelastic rectangular plate." Microsystem Technologies 23, no. 12 (2017): 5875–86. http://dx.doi.org/10.1007/s00542-017-3350-8.

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18

Passarella, Francesca, and Vincenzo Tibullo. "Some Results in Linear Theory of Thermoelasticity Backward in Time for Microstretch Materials." Journal of Thermal Stresses 33, no. 6 (2010): 559–76. http://dx.doi.org/10.1080/01495731003772811.

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19

Ieşan, D. "Deformation of microstretch elastic beams loaded on the lateral surface." Mathematics and Mechanics of Solids 24, no. 7 (2019): 2274–94. http://dx.doi.org/10.1177/1081286518824141.

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20

Galeş, C. "Spatial behavior in the electromagnetic theory of microstretch elasticity." International Journal of Solids and Structures 48, no. 19 (2011): 2755–63. http://dx.doi.org/10.1016/j.ijsolstr.2011.05.025.

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21

Romeo, Maurizio. "A microstretch description of electroelastic solids with application to plane waves." Mathematics and Mechanics of Solids 24, no. 7 (2018): 2181–96. http://dx.doi.org/10.1177/1081286518817810.

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22

Aouadi, Moncef. "Thermomechanical Interactions in a Generalized Thermo-Microstretch Elastic Half Space." Journal of Thermal Stresses 29, no. 6 (2006): 511–28. http://dx.doi.org/10.1080/01495730500373495.

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23

Kharashvili, Maia, and Ketevan Skhvitaridze. "Problem of Statics of the Linear Thermoelasticity of the Microstretch Materials with Microtemperatures for a Half-space." Works of Georgian Technical University, no. 2(520) (June 25, 2021): 202–19. http://dx.doi.org/10.36073/1512-0996-2021-2-202-219.

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We consider the statics case of the theory of linear thermoelasticity with microtemperatures and microstrech materials. The representation formula of differential equations obtained in the paper is expressed by the means of four harmonic and four metaharmonic functions. These formulas are very convenient and useful in many particular problems for domains with concrete geometry. Here we demonstrate an application of these formulas to the III type boundary value problem for a half-space. Uniqueness theorems are proved. Solutions are obtained in quadratures. 2010 Mathematics Subject Classificatio

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24

Kiris, A., and E. Inan. "Eshelby tensors for a spherical inclusion in microstretch elastic fields." International Journal of Solids and Structures 43, no. 16 (2006): 4720–38. http://dx.doi.org/10.1016/j.ijsolstr.2005.06.028.

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25

Ma, Hansong, and Gengkai Hu. "Eshelby tensors for an ellipsoidal inclusion in a microstretch material." International Journal of Solids and Structures 44, no. 9 (2007): 3049–61. http://dx.doi.org/10.1016/j.ijsolstr.2006.09.003.

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26

Kiris, A., and E. Inan. "On the identification of microstretch elastic moduli of materials by using vibration data of plates." International Journal of Engineering Science 46, no. 6 (2008): 585–97. http://dx.doi.org/10.1016/j.ijengsci.2008.01.001.

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27

Kumar, Rajneesh, and Geeta Partap. "Wave Propagation in Microstretch Thermoelastic Plate Bordered with Layers of Inviscid Liquid." Multidiscipline Modeling in Materials and Structures 5, no. 2 (2009): 171–84. http://dx.doi.org/10.1163/157361109787959912.

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The propagation of free vibrations in microstretch thermoelastic homogeneous isotropic, thermally conducting plate bordered with layers of inviscid liquid on both sides subjected to stress free thermally insulated and isothermal conditions is investigated in the context of Lord and Shulman (L‐S) and Green and Lindsay (G‐L) theories of thermoelasticity. The secular equations for symmetric and skewsymmetric wave mode propagation are derived. The regions of secular equations are obtained and short wavelength waves of the secular equations are also discussed. At short wavelength limits, the secula

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28

Kumar, R., and G. Partap. "Free vibration of microstretch thermoelastic plate with one relaxation time." Theoretical and Applied Fracture Mechanics 48, no. 3 (2007): 238–57. http://dx.doi.org/10.1016/j.tafmec.2007.08.003.

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29

Aouadi, Moncef. "Some Theorems in the Isotropic Theory of Microstretch Thermoelasticity with Microtemperatures." Journal of Thermal Stresses 31, no. 7 (2008): 649–62. http://dx.doi.org/10.1080/01495730801981772.

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30

Bazarra, N., J. R. Fernández, and S. Suárez. "Numerical analysis of a thermal problem arising in microstretch elastic plates." Journal of Thermal Stresses 43, no. 9 (2020): 1069–82. http://dx.doi.org/10.1080/01495739.2020.1758264.

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31

Garg, Manisha, Dilbag Singh, and S. K. Tomar. "Rayleigh-Type Waves in Microstretch Elastic Solid Half-Space Containing Voids." Mechanics of Solids 58, no. 9 (2023): 3380–96. http://dx.doi.org/10.3103/s0025654423602161.

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32

Othman, Mohamed I. A., Sarhan Y. Atwa, A. Jahangir, and A. Khan. "Generalized magneto‐thermo‐microstretch elastic solid under gravitational effect with energy dissipation." Multidiscipline Modeling in Materials and Structures 9, no. 2 (2013): 145–76. http://dx.doi.org/10.1108/mmms-01-2013-0005.

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33

Singh, B. "Influence of magnetic field on wave propagation at liquid-microstretch solid interface." Applied Mathematics and Mechanics 32, no. 5 (2011): 595–602. http://dx.doi.org/10.1007/s10483-011-1441-6.

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34

Tomar, S. K., and Dilbag Singh. "Propagation of Stoneley Waves at an Interface Between Two Microstretch Elastic Half-spaces." Journal of Vibration and Control 12, no. 9 (2006): 995–1009. http://dx.doi.org/10.1177/1077546306068689.

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35

Zhang, Peng, P. J. Wei, and Yueqiu Li. "In-plane wave propagation through a microstretch slab sandwiched by two half-spaces." European Journal of Mechanics - A/Solids 63 (May 2017): 136–48. http://dx.doi.org/10.1016/j.euromechsol.2017.01.002.

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36

Sharma, J. N., Satish Kumar, and Y. D. Sharma. "Propagation of Rayleigh Surface Waves in Microstretch Thermoelastic Continua Under Inviscid Fluid Loadings." Journal of Thermal Stresses 31, no. 1 (2007): 18–39. http://dx.doi.org/10.1080/01495730701737845.

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37

Svanadze, Merab, and Rita Tracinà. "Representations of Solutions in the Theory of Thermoelasticity with Microtemperatures for Microstretch Solids." Journal of Thermal Stresses 34, no. 2 (2011): 161–78. http://dx.doi.org/10.1080/01495739.2010.511946.

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38

Singh, Dilbag, and S. K. Tomar. "Rayleigh–Lamb waves in a microstretch elastic plate cladded with liquid layers." Journal of Sound and Vibration 302, no. 1-2 (2007): 313–31. http://dx.doi.org/10.1016/j.jsv.2006.12.002.

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39

Chen, Kuo-Ching, Jeng-Yin Lan, and Yih-Chin Tai. "Description of local dilatancy and local rotation of granular assemblies by microstretch modeling." International Journal of Solids and Structures 46, no. 21 (2009): 3882–93. http://dx.doi.org/10.1016/j.ijsolstr.2009.07.011.

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40

Kaur, Tanupreet, Satish Kumar Sharma, Abhishek Kumar Singh, and Mriganka Shekhar Chaki. "Moving load response on the stresses produced in an irregular microstretch substrate." Structural Engineering and Mechanics 60, no. 2 (2016): 175–91. http://dx.doi.org/10.12989/sem.2016.60.2.175.

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41

Sherief, H. H., M. S. Faltas, and Shreen El-Sapa. "Slow motion of a slightly deformed spherical droplet in a microstretch fluid." Microsystem Technologies 24, no. 8 (2018): 3245–59. http://dx.doi.org/10.1007/s00542-018-3854-x.

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42

Kumar, Rajneesh, Sanjeev Ahuja, and S. K. Garg. "A study of plane wave and fundamental solution in the theory of microstretch thermoelastic diffusion solid with phase-lag models." Multidiscipline Modeling in Materials and Structures 11, no. 2 (2015): 160–85. http://dx.doi.org/10.1108/mmms-05-2014-0032.

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Purpose – The purpose of this paper is to study of propagation of plane wave and the fundamental solution of the system of differential equations in the theory of a microstretch thermoelastic diffusion medium in phase-lag models for the case of steady oscillations in terms of elementary functions. Design/methodology/approach – Wave propagation technique along with the numerical methods for computation using MATLAB software has been applied to investigate the problem. Findings – Characteristics of waves like phase velocity and attenuation coefficient are computed numerically and depicted graphi

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43

Qin Song, Ya, Mohamed I.A. Othman, and Zheng Zhao. "Reflection of plane waves from a thermo-microstretch elastic solid with temperature dependent elastic properties." Multidiscipline Modeling in Materials and Structures 10, no. 2 (2014): 228–49. http://dx.doi.org/10.1108/mmms-07-2013-0052.

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Purpose – The purpose of this paper is to study the reflection of a plane harmonic wave at the interface of thermo-microstretch elastic half space. The modulus of elasticity is taken as a linear function of reference temperature. The formulation is applied to generalized thermoelasticity theories, the Lord-Shulman and Green-Lindsay theories, as well as the classical dynamical coupled theory. Using potential function, the governing equations reduce to ten-order differential equation. Design/methodology/approach – Coefficient ratios of reflection of different waves with the angle of incidence ar

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44

Othman, Mohamed I. A., Ebtesam E. M. Eraki, Sarhan Y. Atwa, and Mohamed F. Ismail. "Thermoelastic micro-stretch solid immersed in an infinite inviscid fluid and subject to a rotation under two theories." Engineering Solid Mechanics 11, no. 3 (2023): 299–310. http://dx.doi.org/10.5267/j.esm.2023.2.002.

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This work is interested with a thermoelastic response in a micro-stretch half-space submerged in an unlimited non-viscous fluid under rotation, the medium is studied using the theory of Green-Naghdi (G-N III) and the model of three-phase-lag (3PHL). The governing equations are formulated in the context of G-N theory and the 3PHL model. Analytical solution to the problem is acquired by utilizing the normal mode method. The magnesium crystal element is utilized as an application to compare the predictions induced by rotation on microstretch thermoelastic immersed in an infinite fluid of G–N theo

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45

Vilchevskaya, Elena N., Wolfgang H. Müller, and Victor A. Eremeyev. "Extended micropolar approach within the framework of 3M theories and variations thereof." Continuum Mechanics and Thermodynamics 34, no. 2 (2022): 533–54. http://dx.doi.org/10.1007/s00161-021-01072-6.

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AbstractAs part of his groundbreaking work on generalized continuum mechanics, Eringen proposed what he called 3M theories, namely the concept of micromorphic, microstretch, and micropolar materials modeling. The micromorphic approach provides the most general framework for a continuum with translational and (internal) rotational degrees of freedom (DOF), whilst the rotational DOFs of micromorphic and micropolar continua are subjected to more and more constraints. More recently, an “extended” micropolar theory has been presented by one of the authors: Eringen’s 3M theories were children of sol

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46

Kumar, Rajneesh, and Rupender. "Propagation of plane waves at the imperfect boundary of elastic and electro-microstretch generalized thermoelastic solids." Applied Mathematics and Mechanics 30, no. 11 (2009): 1445–54. http://dx.doi.org/10.1007/s10483-009-1110-6.

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47

Kumar, Rajneesh, Arvind Kumar, and Devinder Singh. "Elastodynamic interactions of laser pulse in microstretch thermoelastic mass diffusion medium with dual phase lag." Microsystem Technologies 24, no. 4 (2017): 1875–84. http://dx.doi.org/10.1007/s00542-017-3568-5.

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48

Othman, Mohamed I. A., Sarhan Y. Atwa, Ebtesam E. M. Eraki, and Mohamed F. Ismail. "Effect of initial stress on a microstretch thermoelastic medium immersed in an infinite inviscid fluid with two models." Journal of Mechanics of Materials and Structures 18, no. 4 (2023): 533–49. http://dx.doi.org/10.2140/jomms.2023.18.533.

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49

Sherief, H. H., M. S. Faltas, and Shreen El-Sapa. "A general formula for the drag on a solid of revolution body at low Reynolds numbers in a microstretch fluid." Meccanica 52, no. 11-12 (2017): 2655–64. http://dx.doi.org/10.1007/s11012-017-0617-1.

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50

Kumar, Rajneesh, S. K. Garg, and Sanjeev Ahuja. "Propagation of plane waves at the interface of an elastic solid half-space and a microstretch thermoelastic diffusion solid half-space." Latin American Journal of Solids and Structures 10, no. 6 (2013): 1081–108. http://dx.doi.org/10.1590/s1679-78252013000600002.

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