Scale-Dependent Homogenization of Random Hyperbolic Thermoelastic Solids

详细信息    查看全文

• 作者：Martin Ostoja-Starzewski (1) (2)
  Luis Costa (3)
  Shivakumar I. Ranganathan (4)
  
  1. Department of Mechanical Science & Engineering ; University of Illinois at Urbana-Champaign ; Urbana ; IL ; 61801 ; USA
  2. Institute for Condensed Matter Theory and Beckman Institute ; University of Illinois at Urbana-Champaign ; Urbana ; IL ; 61801 ; USA
  3. Institute for Multiscale Reactive Modeling ; Energetics and Warheads Research and Development ; RDAR-MEE-W ; Building 3022 ; Room 44 ; Picatinny ; NJ ; 07806-5000 ; USA
  4. Department of Mechanical Engineering ; American University of Sharjah ; P.O. Box 26666 ; Sharjah ; UAE
  
• 关键词：Finite ; size scaling ; Homogenization ; Hyperbolic thermoelasticity ; Random fields ; Relaxation times ; Representative volume element ; Statistical volume element ; Stretched exponentials ; 60G60 ; 74A40 ; 74A60 ; 74Q20 ; 74F05 ; 80A17
• 刊名：Journal of Elasticity
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：118
• 期：2
• 页码：243-250
• 全文大小：358 KB
• 参考文献：1. Ostoja-Starzewski, M.: Microstructural Randomness and Scaling in Mechanics of Materials. CRC Press, Boca Raton (2007) CrossRef
  2. Blanco, P.J., Giusti, S.M.: Thermomechanical multiscale constitutive modeling: accounting for microstructural thermal effects. J. Elast. 115(1), 27鈥?6 (2014). doi:10.1007/s10659-013-9445-2 CrossRef
  3. Green, A.E., Lindsay, K.A.: Thermoelasticity. J. Elast. 2(1), 1鈥? (1972) CrossRef
  4. Ignaczak, J., Ostoja-Starzewski, M.: Thermoelasticity with Finite Wave Speeds. Oxford University Press, Oxford (2009) CrossRef
  5. Lord, H.W., Shulman, Y.: A generalized dynamical theory of thermoelasticity. J. Mech. Phys. Solids 15, 299鈥?09 (1967) CrossRef
  6. Ostoja-Starzewski, M.: Dissipation function in hyperbolic thermoelasticity. J. Therm. Stresses 34(1), 68鈥?4 (2011). doi:10.1080/01495739.2010.511934 CrossRef
  7. Ziegler, H.: An Introduction to Thermomechanics. North Holland, Amsterdam (1983)
  8. Ranganathan, S.I., Ostoja-Starzewski, M.: Mesoscale conductivity and scaling function in aggregates of cubic, trigonal, hexagonal, and tetragonal symmetries. Phys. Rev. B 77, 214308 (2008). doi:10.1103/PhysRevB.77.214308 CrossRef
  9. Dalaq, A.S., Ranganathan, S.I., Ostoja-Starzewski, M.: Scaling function in conductivity of planar random checkerboards. Compos. Mater. Sci. 79, 252鈥?61 (2013). http://dx.doi.org/10.1016/j.commatsci.2013.05.006 CrossRef
  10. Ranganathan, S.I., Ostoja-Starzewski, M.: Scaling function, anisotropy and the size of RVE in elastic random polycrystals. J. Mech. Phys. Solids 56, 2773鈥?791 (2008). doi:10.1016/j.jmps.2008.05.001 CrossRef
  11. Raghavan, B.V., Ranganathan, S.I.: Bounds and scaling laws in planar elasticity. Acta Mech. (2014). doi:10.1007/s00707-014-1099-z
  12. Ranganathan, S.I., Ostoja-Starzewski, M.: Universal elastic anisotropy index. Phys. Rev. Lett. 101, 055504 (2008). doi:10.1103/PhysRevLett.101.055504 CrossRef
  13. Khisaeva, Z.F., Ostoja-Starzewski, M.: Scale effects in infinitesimal and finite thermo elasticity of random composites. J. Therm. Stresses 30, 587鈥?03 (2007). doi:10.1080/01495730701274195 CrossRef
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mechanics
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-2681

文摘

The scale-dependent homogenization is applied to a hyperbolic thermoelastic material with two relaxation times, where conductivity and stiffness are wide-sense stationary ergodic random fields. The previously established scaling functions for the Fourier-type conductivity and linear elastic responses are used to describe the trends to scale from the mesoscale statistical volume element level (SVE) to the (representative volume element) RVE level of a deterministic homogeneous continuum. In the case of white-noise type random fields, this finite-size scaling can be quantified via universally appearing stretched exponentials for conductivity and elasticity problems.