Analysis of Nonlinear Characteristics for Thermoelastic Half Plane with Voids

REFERENCES

• B. Q. Xi , Analysis of the Feature of Porous Material, Science & Technology Information, vol. 23, pp. 18—31, 2007 (in Chinese).
   Google Scholar
• J. W. Nunziato and S. C. Cowin , A Nonlinear Theory of Elastic Materials with Voids , Arch. Ration. Mech. An. , vol. 72 , pp. 175 – 201 , 1979 .
   Web of Science ®Google Scholar
• S. C. Cowin and J. W. Nunziato , Linear Elastic Materials with Voids , J. Elasticity , vol. 13 , pp. 125 – 147 , 1983 .
   Web of Science ®Google Scholar
• D. Iesan , A Theory of Thermoelastic Materials with Voids , Acta Mech. , vol. 60 , pp. 67 – 89 , 1986 .
   Web of Science ®Google Scholar
• E. Scarpetta , Minimum Principles for the Bending Problem of Elastic Plates with Voids , Int. J. Eng. Sci. , vol. 40 , pp. 1317 – 1327 , 2002 .
   Web of Science ®Google Scholar
• M. B\^ırsan, A Bending Theory of Porous Thermoelastic Plates , J. Therm. Stresses , vol. 26 , pp. 67 – 90 , 2003 .
   Web of Science ®Google Scholar
• M. B\^ırsan, On the Theory of Elastic Shells Made from a Material with Voids , Int. J. Solids Struct. , vol. 43 , pp. 3106 – 3123 , 2006 .
   Web of Science ®Google Scholar
• M. B\^ırsan, On a Thermodynamic Theory of Porous Cosserat Elastic Shells , J. Therm. Stresses , vol. 29 , pp. 879 – 899 , 2006 .
   Web of Science ®Google Scholar
• P. K. Sharma , D. Kaur , and J. N. Sharma , Three-dimensional Vibration Analysis of a Thermoelastic Cylindrical Panel with Voids , Int. J. Solids Struct. , vol. 45 , pp. 5049 – 5058 , 2008 .
   Web of Science ®Google Scholar
• J. N. Sharma and D. Kaur , Modelling of Circumferential Waves in Cylindrical Thermoelastic Plates with Voids , Appl. Math. Model , vol. 34 , pp. 254 – 265 , 2010 .
   Web of Science ®Google Scholar
• I. D. Ghiba , On the Temporal Behavior in the Bending Theory of Porous Thermoelastic Plates , ZAMM-Z. Angew. Math. Me. , vol. 93 , pp. 284 – 296 , 2013 .
   Web of Science ®Google Scholar
• M. Ciarletta , M. Svanadze , and L. Buonanno , Plane Waves and Vibrations in the Theory of Micropolar Thermoelasticity for Materials with Voids , Eur. J. Mech. A-Solid , vol. 28 , pp. 897 – 903 , 2009 .
   Web of Science ®Google Scholar
• S. Chiriţă and M. Ciarletta , On the Structural Stability of Thermoelastic Model of Porous Media , Math. Meth. Appl. Sci. , vol. 31 , pp. 19 – 34 , 2008 .
   Web of Science ®Google Scholar
• R. Kumar and L. Rani , Response of Generalized Thermoelastic Half-space with Voids to Mechanical and Thermal Sources , Meccanica , vol. 39 , pp. 563 – 584 , 2004 .
   Web of Science ®Google Scholar
• R. Kumar and L. Rani , Deformation Due to Mechanical and Thermal Sources in Generalized Thermoelastic Half-space with Voids , J. Therm. Stresses , vol. 28 , pp. 123 – 145 , 2005 .
   Web of Science ®Google Scholar
• R. Kumar and L. Rani , Deformation Due to Mechanical and Thermal Sources in a Thermoelastic Body with Voids under Axi-symmetric Distributions , Int. J. Thermophys. , vol. 28 , pp. 317 – 341 , 2007 .
   Web of Science ®Google Scholar
• Y. Li and C. J. Cheng , Several Variational Principles for Finite Deformation Dynamics of Thermoelastic Voids Bodies, Chinese Journal of Solid Mechanics, vol. 31, pp. 74–79, 2010 (in Chinese).
   Google Scholar
• Y. Li and C. J. Cheng , A Nonlinear Model of Thermoelastic Beams with Voids, with Applications , J. Mech. Mater. Struct. , vol. 5 , pp. 805 – 820 , 2010 .
   Web of Science ®Google Scholar
• R. E. Bellman and J. Casti , Differential Quadrature and Long Term Integration , J. Math. Anal. Appl. , vol. 34 , pp. 235 – 238 , 1971 .
   Web of Science ®Google Scholar
• R. E. Bellman , B. G. Kashef , and J. Casti , Differential Quadrature: A Technique for the Rapid Solution of Nonlinear Partial Differential Equations, J. Comput. Phys. , vol. 10, pp. 40–52, 1972.
   Web of Science ®Google Scholar
• C. W. Bert , S. K. Jang , and A. G. Striz , Two New Approximate Methods for Analyzing Free Vibtation of Structural Components , AIAA J. , vol. 26 , pp. 612 – 618 , 1988 .
   Google Scholar
• C. W. Bert and M. Malik , Differential Quadrature Method in Computational Mechanics: A Review , Appl. Mech. Rev. , vol. 49 , pp. 1 – 27 , 1996 .
   Google Scholar
• Y. J. Hu , Y. Y. Zhu , and C. J. Cheng , Dynamic Analysis of Fluid-saturated Porous Visoelastic Materials , Int. J. Solids Struct. , vol. 46 , pp. 1667 – 1675 , 2009 .
   Web of Science ®Google Scholar
• Y. J. Hu , Y. Y. Zhu , and C. J. Cheng , Transient Dynamic Response of Fluid-saturated Soil under a Moving Cyclic Loading , Soil Dyn. Earthq. Eng. , vol. 31 , pp. 491 – 501 , 2011 .
   Web of Science ®Google Scholar
• Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/uths.
   Google Scholar