Abstract
Besides being the snack of choice of the Chinese Giant panda, the bamboo plant also represents a near-perfect natural example of a functionally graded material.
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Ray AK et al (2005) Bamboo—a functionally graded composite-correlation between microstructure and mechanical strength. J Mater Sci 40(19):5249–5253
Rubio WM et al (2010) Functionally graded piezoelectric material systems—a multiphysics perspective, in advanced computational materials modeling. Wiley-VCH Verlag GmbH & Co. KGaA, pp 301–339
Akbarzadeh A, Babaei M, Chen Z (2011) Thermopiezoelectric analysis of a functionally graded piezoelectric medium. Int J Appl Mech 3(01):47–68
Akbarzadeh A, Cui Y, Chen Z (2017) Thermal wave: from nonlocal continuum to molecular dynamics. RSC Adv 7(22):13623–13636
Babaei M, Chen Z (2008) Dynamic response of a thermopiezoelectric rod due to a moving heat source. Smart Mater Struct 18(2):025003
Parton V, Kudryavtsev B (1988) Electromagnetoelasticity, vol 2. Gordon and Breach Science Publishers, New York, p 90059-0
Vernotte P (1958) Les paradoxes de la théorie continue de léquation de la chaleur. C R Hebd Seances Acad Sci 246(22):3154–3155
Cattaneo C (1948) Sullaconduzione de calore. Atti del. Seminar 3:83–101
Biot MA (1956) Thermoelasticity and irreversible thermodynamics. J Appl Phys 27(3):240–253
Lord HW, Shulman Y (1967) A generalized dynamical theory of thermoelasticity. J Mech Phys Solids 15(5):299–309
Chandrasekharaiah D (1988) A generalized linear thermoelasticity theory for piezoelectric media. Acta Mech 71(1):39–49
He T, Cao L, Li S (2007) Dynamic response of a piezoelectric rod with thermal relaxation. J Sound Vib 306(3):897–907
Boyce WE, DiPrima RC, Haines CW (1969) Elementary differential equations and boundary value problems, vol 9. Wiley, New York
Durbin F (1974) Numerical inversion of Laplace transforms: an efficient improvement to Dubner and Abate’s method. Comput J 17(4):371–376
Wojnar R, Bytner S, Galka A (1999) Effective properties of elastic composites subject to thermal Fields. Therm Stresses, 5
Landolt HH et al (1980) Numerical data and functional relationships in science and technology: new series. Nuclear and particle physics. Elastic and charge exchange scattering of elementary particles. Nucleon nucleon and kaon nucleon scattering, vol 9. Springer, Berlin
Babaei M, Chen Z (2009) The transient coupled thermo-piezoelectric response of a functionally graded piezoelectric hollow cylinder to dynamic loadings. Proc R Soc London: Math Phys Eng Sci (The Royal Society)
Liu G et al (2003) Dispersion of waves and characteristic wave surfaces in functionally graded piezoelectric plates. J Sound Vib 268(1):131–147
Takagi K et al (2002) Design and fabrication of functionally graded PZT/Pt piezoelectric bimorph actuator. Sci Technol Adv Mater 3(2):217–224
Richard BH, Eslami MR (2008) Thermal stresses-advanced theory and applications. Springer, The Netherlands
Babaei MH, Akhras G (2011) Temperature-dependent response of radially polarized piezoceramic cylinders to harmonic loadings. J Intell Mater Syst Struct 22(7):645–654
Eslami M (2003) A first course in finite element analysis. Amirkabir University Press, Tehran
Tsamasphyros G, Song Z (2006) The general solution for a finite thermopiezoelectric plate containing a hole and a crack. Arch Appl Mech 76(1):1–17
Liu W et al (2003) Noise and specific detectivity of pyroelectric detectors using lead titanate zirconate (PZT) thin films. Microelectron Eng 66(1):785–791
Ootao Y, Akai T, Tanigawa Y (2008) Transient piezothermoelastic analysis for a functionally graded thermopiezoelectric hollow cylinder. J Therm Stresses 31(10):935–955
Hetnarski RB, Ignaczak J (1999) Generalized thermoelasticity. J Therm Stresses 22(4–5):451–476
Hetnarski R, Ignaczak J (2000) Nonclassical dynamical thermoelasticity. Int J Solids Struct 37(1):215–224
Green A, Lindsay K (1972) Thermoelasticity. J Elast 2(1):1–7
Tzou DY (1993) An engineering assessment to the relaxation time in thermal wave propagation. Int J Heat Mass Transf 36(7):1845–1851
Al-Huniti NS, Al-Nimr M, Naji M (2001) Dynamic response of a rod due to a moving heat source under the hyperbolic heat conduction model. J Sound Vib 242(4):629–640
He T, Tian X, Shen Y (2002) State space approach to one-dimensional thermal shock problem for a semi-infinite piezoelectric rod. Int J Eng Sci 40(10):1081–1097
Aouadi M (2007) Generalized thermoelastic-piezoelectric problem by hybrid Laplace transform-finite element method. Int J Comput Methods Eng Sci Mech 8(3):137–147
Babaei M, Chen Z (2010) Transient thermopiezoelectric response of a one-dimensional functionally graded piezoelectric medium to a moving heat source. Arch Appl Mech 80(7):803–813
El-Karamany AS, Ezzat MA (2005) Propagation of discontinuities in thermopiezoelectric rod. J Therm Stresses 28(10):997–1030
Mindlin R (1961) On the equations of motion of piezoelectric crystals. Prob Continuum Mech, 282–290
Davis S (2009) A finite algorithm for the solution to an algebraic equation. Int J Algebra 3(10):449–460
Mikhalkin EN (2009) Solution of fifth-degree equations. Russ Math (Iz VUZ) 53(6):15–23
Tignol J (1987) Theory of algebraic equations. Wiley, New York
Hetnarski RB, Eslami MR, Gladwell G (2009) Thermal stresses: advanced theory and applications, vol 41. Springer, Berlin
Akbarzadeh A, Babaei M, Chen Z (2011) Coupled thermopiezoelectric behaviour of a one-dimensional functionally graded piezoelectric medium based on C-T theory. Proc Inst Mech Eng, Part C: J Mech Eng Sci 225(11):2537–2551
Chandrasekharaiah D (1998) Hyperbolic thermoelasticity: a review of recent literature. Appl Mech Rev 51:705–730
Tzou DY (1995) The generalized lagging response in small-scale and high-rate heating. Int J Heat Mass Transf 38(17):3231–3240
Antaki PJ (1998) Solution for non-Fourier dual phase lag heat conduction in a semiinfinite slab with surface heat flux. Int J Heat Mass Transf 41(14):2253–2258
Tzou DY (1995) Experimental support for the lagging behavior in heat propagation. J Thermophys Heat Transfer 9(4):686–693
Tzou D (1997) Macro- to micro-scale heat transfer: the lagging behavior. Taylor & Francis, Washington, DC
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Chen, Z., Akbarzadeh, A. (2020). Coupled Thermal Stresses in Advanced Smart Materials. In: Advanced Thermal Stress Analysis of Smart Materials and Structures. Structural Integrity, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-030-25201-4_4
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