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Volumn 37, Issue 3, 2010, Pages 271-275

Reciprocal and variational principles in linear thermoelasticity without energy dissipation

Author keywords

Reciprocal relation; Thermoelasticity without energy dissipation; Variational principle

Indexed keywords

CENTROSYMMETRIC MATERIALS; FIELD EQUATION; INITIAL CONDITIONS; LINEAR THEORY; RECIPROCAL RELATIONS; THERMOELASTICITY WITHOUT ENERGY DISSIPATION; VARIATIONAL PRINCIPLES;

EID: 77953135390     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2010.03.001     Document Type: Article
Times cited : (49)

References (26)
  • 2
    • 0001265570 scopus 로고
    • Linear thermoelasticity
    • Encyclopedia of Physics, VIa/2. Flügge S. (Ed), Springer-Verlag, Berlin
    • Carlson D.E. Linear thermoelasticity. In: Flügge S. (Ed). Encyclopedia of Physics, VIa/2. Mechanics of Solids II vol. II (1972), Springer-Verlag, Berlin 297-436
    • (1972) Mechanics of Solids II , vol.II , pp. 297-436
    • Carlson, D.E.1
  • 3
    • 0030157454 scopus 로고    scopus 로고
    • A note on the uniqueness of solution in the linear theory of thermoelasticity without energy dissipation
    • Chandrasekharaiah D.S. A note on the uniqueness of solution in the linear theory of thermoelasticity without energy dissipation. J. Elasticity 43 (1996) 279-283
    • (1996) J. Elasticity , vol.43 , pp. 279-283
    • Chandrasekharaiah, D.S.1
  • 4
    • 0001194946 scopus 로고    scopus 로고
    • Hyperbolic thermoelasticity: a review of recent literature
    • Chandrasekharaiah D.S. Hyperbolic thermoelasticity: a review of recent literature. Appl. Mech. Rev. 51 (1998) 705-729
    • (1998) Appl. Mech. Rev. , vol.51 , pp. 705-729
    • Chandrasekharaiah, D.S.1
  • 5
    • 0346207522 scopus 로고    scopus 로고
    • Variational and reciprocal principles in thermoelasticity without energy dissipation
    • Chandrasekharaiah D.S. Variational and reciprocal principles in thermoelasticity without energy dissipation. Proc. Indian Acad. Sci. (Math. Sci.) 108 (1998) 209-215
    • (1998) Proc. Indian Acad. Sci. (Math. Sci.) , vol.108 , pp. 209-215
    • Chandrasekharaiah, D.S.1
  • 6
    • 0017767291 scopus 로고
    • On thermodynamics and the nature of the second law
    • Green A.E., and Naghdi P.M. On thermodynamics and the nature of the second law. Proc. Roy. Soc. Lond. A 357 (1977) 253-270
    • (1977) Proc. Roy. Soc. Lond. A , vol.357 , pp. 253-270
    • Green, A.E.1    Naghdi, P.M.2
  • 7
    • 0027607737 scopus 로고
    • Thermoelasticity without energy dissipation
    • Green A.E., and Naghdi P.M. Thermoelasticity without energy dissipation. J. Elasticity 31 (1993) 189-208
    • (1993) J. Elasticity , vol.31 , pp. 189-208
    • Green, A.E.1    Naghdi, P.M.2
  • 8
    • 0001212407 scopus 로고
    • A unified procedure for construction of theories of deformable media. I. Classical continuum physics, II. Generalized continua, III. Mixtures of interacting continua
    • Soc. Lond. A
    • Green, A.E., Naghdi, P.M., 1995. A unified procedure for construction of theories of deformable media. I. Classical continuum physics, II. Generalized continua, III. Mixtures of interacting continua. Proc. Roy. Soc. Lond. A 448, 335-356 (pp. 357-377, pp. 379-388).
    • (1995) Proc. Roy , vol.448
    • Green, A.E.1    Naghdi, P.M.2
  • 9
    • 0002057905 scopus 로고
    • Variational principles for linear elastodynamics
    • Gurtin M.E. Variational principles for linear elastodynamics. Arch. Rational Mech. Anal. 16 (1964) 34-50
    • (1964) Arch. Rational Mech. Anal. , vol.16 , pp. 34-50
    • Gurtin, M.E.1
  • 10
    • 0001476309 scopus 로고
    • Linear theory of elasticity
    • Encyclopedia of Physics, VIa/2. Flügge S. (Ed), Springer-Verlag, Berlin
    • Gurtin M.E. Linear theory of elasticity. In: Flügge S. (Ed). Encyclopedia of Physics, VIa/2. Mechanics of Solids II vol. II (1972), Springer-Verlag, Berlin 1-295
    • (1972) Mechanics of Solids II , vol.II , pp. 1-295
    • Gurtin, M.E.1
  • 13
    • 0003013276 scopus 로고
    • Principes variationnels dans la théorie de la thermoélasticité couplée
    • Ieşan D. Principes variationnels dans la théorie de la thermoélasticité couplée. An. Şt. Univ. Al.I. Cuza Iaşi Matematicǎ 12 (1966) 439-456
    • (1966) An. Şt. Univ. Al.I. Cuza Iaşi Matematicǎ , vol.12 , pp. 439-456
    • Ieşan, D.1
  • 14
    • 77953129349 scopus 로고
    • On some reciprocity theorems and variational theorems in linear dynamic theories of continuum mechanics
    • Ieşan D. On some reciprocity theorems and variational theorems in linear dynamic theories of continuum mechanics. Memorie dell'Accad. Sci. Torino Cl. Sci. Fis. Mat. Nat. Ser. 4 17 (1974)
    • (1974) Memorie dell'Accad. Sci. Torino Cl. Sci. Fis. Mat. Nat. Ser. , vol.4 , Issue.17
    • Ieşan, D.1
  • 16
    • 0032044792 scopus 로고    scopus 로고
    • On the theory of thermoelasticity without energy dissipation
    • Ieşan D. On the theory of thermoelasticity without energy dissipation. J. Therm. Stress. 21 (1998) 295-307
    • (1998) J. Therm. Stress. , vol.21 , pp. 295-307
    • Ieşan, D.1
  • 17
    • 0009617120 scopus 로고
    • A completeness problem for stress equations of motion in the linear elasticity theory
    • Ignaczak J. A completeness problem for stress equations of motion in the linear elasticity theory. Arch. Mech. Stosow. 15 (1963) 225-235
    • (1963) Arch. Mech. Stosow. , vol.15 , pp. 225-235
    • Ignaczak, J.1
  • 18
    • 0005262298 scopus 로고
    • Problem of linear coupled thermoelasticity. Theorems on reciprocity for the dynamic problem of coupled thermoelasticity. I.
    • Ionescu-Cazimir V. Problem of linear coupled thermoelasticity. Theorems on reciprocity for the dynamic problem of coupled thermoelasticity. I. Bull. Acad. Polon. Sci., Sér. Sci. Technol. 12 (1964) 473-480
    • (1964) Bull. Acad. Polon. Sci., Sér. Sci. Technol. , vol.12 , pp. 473-480
    • Ionescu-Cazimir, V.1
  • 19
    • 0003011186 scopus 로고
    • Variational principles in thermomechanics
    • Lebon G., and Perzyna P. (Eds), Springer-Verlag, Wien-New York
    • Lebon G. Variational principles in thermomechanics. In: Lebon G., and Perzyna P. (Eds). Recent Developments in Thermomechanics of Solids (1980), Springer-Verlag, Wien-New York
    • (1980) Recent Developments in Thermomechanics of Solids
    • Lebon, G.1
  • 20
    • 0032119477 scopus 로고    scopus 로고
    • Spatial decay estimates for the evolution equations of linear thermoelasticity without energy dissipation
    • Nappa L. Spatial decay estimates for the evolution equations of linear thermoelasticity without energy dissipation. J. Therm. Stress. 21 (1998) 581-592
    • (1998) J. Therm. Stress. , vol.21 , pp. 581-592
    • Nappa, L.1
  • 21
    • 0004124990 scopus 로고
    • Polish Scientific Publishers, Warszawa and Pergamon Press, Oxford, New York, Paris, Frankfurt
    • Nowacki W. Theory of Asymmetric Elasticity (1986), Polish Scientific Publishers, Warszawa and Pergamon Press, Oxford, New York, Paris, Frankfurt
    • (1986) Theory of Asymmetric Elasticity
    • Nowacki, W.1
  • 22
    • 0033098562 scopus 로고    scopus 로고
    • On the spatial behavior in thermoelasticity without energy dissipation
    • Quintanilla R. On the spatial behavior in thermoelasticity without energy dissipation. J. Therm. Stress. 22 (1999) 213-224
    • (1999) J. Therm. Stress. , vol.22 , pp. 213-224
    • Quintanilla, R.1
  • 23
    • 0000148158 scopus 로고    scopus 로고
    • Damping of end effects in a thermoelastic theory
    • Quintanilla R. Damping of end effects in a thermoelastic theory. Appl. Math. Lett. 14 (2001) 137-141
    • (2001) Appl. Math. Lett. , vol.14 , pp. 137-141
    • Quintanilla, R.1
  • 24
    • 0036477602 scopus 로고    scopus 로고
    • On existence in thermoelasticity without energy dissipation
    • Quintanilla R. On existence in thermoelasticity without energy dissipation. J. Therm. Stress. 25 (2002) 195-202
    • (2002) J. Therm. Stress. , vol.25 , pp. 195-202
    • Quintanilla, R.1
  • 25
    • 0037429583 scopus 로고    scopus 로고
    • Convergence and structural stability in thermoelasticity
    • Quintanilla R. Convergence and structural stability in thermoelasticity. Appl. Math. Comput. 135 (2003) 287-300
    • (2003) Appl. Math. Comput. , vol.135 , pp. 287-300
    • Quintanilla, R.1
  • 26
    • 0000643354 scopus 로고    scopus 로고
    • Growth and uniqueness in thermoelasticity
    • Quintanilla R., and Straughan B. Growth and uniqueness in thermoelasticity. Proc. Roy. Soc. Lond. A 456 (2000) 1419-1429
    • (2000) Proc. Roy. Soc. Lond. A , vol.456 , pp. 1419-1429
    • Quintanilla, R.1    Straughan, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.