메뉴 건너뛰기




Volumn 143, Issue 1, 2000, Pages 91-111

Thermo-viscoelastic analysis of high-frequency motions of thin plates

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; ENTROPY; GEOMETRY; HEAT FLUX; LAPLACE TRANSFORMS; TEMPERATURE; THICKNESS MEASUREMENT; THREE DIMENSIONAL; TWO DIMENSIONAL;

EID: 0342520793     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01250020     Document Type: Article
Times cited : (5)

References (57)
  • 2
    • 0001944396 scopus 로고
    • High frequency vibrations of thin crystal plates
    • Ekstein, H.: High frequency vibrations of thin crystal plates. Phys. Rev. 68, 11-23 (1945)
    • (1945) Phys. Rev. , vol.68 , pp. 11-23
    • Ekstein, H.1
  • 3
    • 0000890460 scopus 로고
    • Sur l'équilibre et le mouvement d'une plaque solide
    • Cauchy, A. L.: Sur L'équilibre et le mouvement d'une plaque solide. Exercises Math. 3, 328-355 (1828).
    • (1828) Exercises Math. , vol.3 , pp. 328-355
    • Cauchy, A.L.1
  • 4
    • 0000500097 scopus 로고
    • Mémoire sur l'équilibre et le mouvement des corps élastiques
    • Poisson, S. D.: Mémoire sur l'équilibre et le mouvement des corps élastiques. Mém. Acad. Sci. Inst. France 8, 357-570 (1829).
    • (1829) Mém. Acad. Sci. Inst. France , vol.8 , pp. 357-570
    • Poisson, S.D.1
  • 5
    • 84930244279 scopus 로고
    • Über das gleichgewicht und die bewegung einer elastischen scheibe
    • Kirchhoff, G.: Über das Gleichgewicht und die Bewegung einer elastischen Scheibe. J. reine angew. Math. 40, 51-88 (1850).
    • (1850) J. Reine Angew. Math. , vol.40 , pp. 51-88
    • Kirchhoff, G.1
  • 7
    • 0002944117 scopus 로고
    • Lecture notes at Columbia University, New York The collected papers of R. D. Mindlin. New York: Springer 1989
    • Mindlin, R. D.: Theory of beams and plates. Lecture notes at Columbia University, New York 1968; The collected papers of R. D. Mindlin. New York: Springer 1989.
    • (1968) Theory of Beams and Plates
    • Mindlin, R.D.1
  • 8
    • 0003126960 scopus 로고
    • Thermoelastic dissipation in high-frequency vibrations of crystal plates
    • Tasi, J., Herrmann, G.: Thermoelastic dissipation in high-frequency vibrations of crystal plates. J. Acoust. Soc. Am. 36, 100-110 (1964).
    • (1964) J. Acoust. Soc. Am. , vol.36 , pp. 100-110
    • Tasi, J.1    Herrmann, G.2
  • 9
    • 0016025794 scopus 로고
    • Approximate theory of vibration of crystal plates at high frequencies
    • Nikodem, Z., Lee, P. C. Y.: Approximate theory of vibration of crystal plates at high frequencies. Int. J. Solids Structures 10, 177-196 (1974).
    • (1974) Int. J. Solids Structures , vol.10 , pp. 177-196
    • Nikodem, Z.1    Lee, P.C.Y.2
  • 10
    • 0016050690 scopus 로고
    • A theory of high-frequency vibrations of piezoelectric crystal bars
    • Dökmeci, M. C.: A theory of high-frequency vibrations of piezoelectric crystal bars. Int. J. Solids Struct. 10, 401-409 (1974).
    • (1974) Int. J. Solids Struct. , vol.10 , pp. 401-409
    • Dökmeci, M.C.1
  • 11
    • 0000889436 scopus 로고
    • On the higher-order theories of piezoelectric crystal surfaces
    • Dökmeci, M. C.: On the higher-order theories of piezoelectric crystal surfaces. J. Math. Phys. 15, 2248-2252 (1974).
    • (1974) J. Math. Phys. , vol.15 , pp. 2248-2252
    • Dökmeci, M.C.1
  • 13
    • 0021757425 scopus 로고
    • A higher-order dynamic theory for viscoelastic plates and layered composites
    • Mengi, Y., Doǧan, T.: A higher-order dynamic theory for viscoelastic plates and layered composites. J. Sound Vib. 92 (3), 311-320 (1984).
    • (1984) J. Sound Vib. , vol.92 , Issue.3 , pp. 311-320
    • Mengi, Y.1    Doǧan, T.2
  • 15
    • 0002669431 scopus 로고
    • Recent studies in plate vibrations, 1981-1985. Part I: Classical theory
    • Leissa, A. W.: Recent studies in plate vibrations, 1981-1985. Part I: Classical theory. Shock Vib. Digest 19 (2), 11-18 (1987).
    • (1987) Shock Vib. Digest , vol.19 , Issue.2 , pp. 11-18
    • Leissa, A.W.1
  • 16
    • 0023315801 scopus 로고
    • Recent studies in plate vibrations, 1981-1985. Part II: Complicating effects
    • Leissa, A. W.: Recent studies in plate vibrations, 1981-1985. Part II: Complicating effects. Shock Vib. Digest 19 (3), 10-24 (1987).
    • (1987) Shock Vib. Digest , vol.19 , Issue.3 , pp. 10-24
    • Leissa, A.W.1
  • 17
    • 58149324188 scopus 로고
    • Research on thick plate vibration: A literature survey
    • Liew, K. M.: Xiang, Y., Kitipornchai, S.: Research on thick plate vibration: a literature survey. J. Sound Vib. 180, 163-176 (1995).
    • (1995) J. Sound Vib. , vol.180 , pp. 163-176
    • Liew, K.M.1    Xiang, Y.2    Kitipornchai, S.3
  • 18
    • 0030102196 scopus 로고    scopus 로고
    • Computational models for sandwich panels and shells
    • Noor, A. K., Burton, W. S., Bert, C. W.: Computational models for sandwich panels and shells. Appl. Mech. Rev. 49, 155-199 (1996).
    • (1996) Appl. Mech. Rev. , vol.49 , pp. 155-199
    • Noor, A.K.1    Burton, W.S.2    Bert, C.W.3
  • 23
    • 0024921345 scopus 로고
    • The theory of orthotropic viscoelastic shear deformable composite flat panels and their dynamic stability
    • Chandiramani, N. K., Librescu, L., Aboudi, J.: The theory of orthotropic viscoelastic shear deformable composite flat panels and their dynamic stability. Int. J. Solids Struct. 25, 465-482 (1989).
    • (1989) Int. J. Solids Struct. , vol.25 , pp. 465-482
    • Chandiramani, N.K.1    Librescu, L.2    Aboudi, J.3
  • 24
    • 84949353713 scopus 로고
    • Parametric excitation of viscoelastic plates
    • Cederbaum, G.: Parametric excitation of viscoelastic plates. Mech. Struct. Mech. 20, 37-51 (1992).
    • (1992) Mech. Struct. Mech. , vol.20 , pp. 37-51
    • Cederbaum, G.1
  • 25
    • 0026741733 scopus 로고
    • The effects of viscoelasticity on the reflection and transmission of ultrasonic waves by an orthotropic plate
    • Deschamps, M., Hosten, B.: The effects of viscoelasticity on the reflection and transmission of ultrasonic waves by an orthotropic plate. J. Acoust. Soc. Am. 91 (4), 2007-2015 (1992).
    • (1992) J. Acoust. Soc. Am. , vol.91 , Issue.4 , pp. 2007-2015
    • Deschamps, M.1    Hosten, B.2
  • 26
    • 0028497245 scopus 로고
    • Dynamic stability of nonlinear viscoelastic plates
    • Touati, D., Cederbaum, G.: Dynamic stability of nonlinear viscoelastic plates. Int. J. Solids Structures 31 (17), 2367-2376 (1994).
    • (1994) Int. J. Solids Structures , vol.31 , Issue.17 , pp. 2367-2376
    • Touati, D.1    Cederbaum, G.2
  • 27
    • 0032209968 scopus 로고    scopus 로고
    • Variational principles on static-dynamic analysis of viscoelastic thin plates with applications
    • Cheng, C.-J., Zhang, N.-H.: Variational principles on static-dynamic analysis of viscoelastic thin plates with applications. Int. J. Solids Structures 35 (33), 4901-4905 (1998).
    • (1998) Int. J. Solids Structures , vol.35 , Issue.33 , pp. 4901-4905
    • Cheng, C.-J.1    Zhang, N.-H.2
  • 28
    • 21444450073 scopus 로고    scopus 로고
    • On nonstationary von kármán equations
    • Bock, I.: On nonstationary Von Kármán equations. ZAMM 76 (10), 559-571 (1996).
    • (1996) ZAMM , vol.76 , Issue.10 , pp. 559-571
    • Bock, I.1
  • 29
    • 85037806211 scopus 로고    scopus 로고
    • A. Rifat Yarar Symposium (S. Tezcan, ed.), Istanbul: ITU Inşaat Fakültesi Matbaasi & Maya basin
    • Altay, A. G., Dökmeci, M. C.: Rheology of high-frequency vibrations of plates. In: A. Rifat Yarar Symposium (S. Tezcan, ed.), pp. 25-140. Istanbul: ITU Inşaat Fakültesi Matbaasi & Maya basin 1997.
    • (1997) Rheology of High-frequency Vibrations of Plates , pp. 25-140
    • Altay, A.G.1    Dökmeci, M.C.2
  • 30
    • 0030081587 scopus 로고    scopus 로고
    • Design sensitivity analysis in dynamic thermoviscoelasticity with implicit integration
    • Poldneff, M. J., Arora, J. S.: Design sensitivity analysis in dynamic thermoviscoelasticity with implicit integration. Int. J. Solids Struct. 33 (4), 577-594 (1996).
    • (1996) Int. J. Solids Struct. , vol.33 , Issue.4 , pp. 577-594
    • Poldneff, M.J.1    Arora, J.S.2
  • 31
    • 0030196985 scopus 로고    scopus 로고
    • A generalized thermovisco-elastic problem of an infinitely extended thin plate containing a circular hole
    • Banerjee, S. B., Roychoudhuri, S. K.: A generalized thermovisco-elastic problem of an infinitely extended thin plate containing a circular hole. J. Thermal Stresses 19, 465-480 (1996).
    • (1996) J. Thermal Stresses , vol.19 , pp. 465-480
    • Banerjee, S.B.1    Roychoudhuri, S.K.2
  • 36
    • 0030296066 scopus 로고    scopus 로고
    • Some variational principles for linear coupled thermoelasticity
    • Altay, A. G., Dökmeci, M. C.: Some variational principles for linear coupled thermoelasticity. Int. J. Solids Struct. 33, 3937-3948 (1996).
    • (1996) Int. J. Solids Struct. , vol.33 , pp. 3937-3948
    • Altay, A.G.1    Dökmeci, M.C.2
  • 38
    • 0011896334 scopus 로고    scopus 로고
    • Hamilton's principle in thermoelasticity and an application to heat sensitive shells
    • R. B. Hetnarski, ed. New York: Rochester Institute of Technology
    • Altay, A. G., Dökmeci, M. C.: Hamilton's principle in thermoelasticity and an application to heat sensitive shells. In: Proc. Thermal Stresses 97 (R. B. Hetnarski, ed.) pp. 421-424. New York: Rochester Institute of Technology 1997.
    • (1997) Proc. Thermal Stresses , vol.97 , pp. 421-424
    • Altay, A.G.1    Dökmeci, M.C.2
  • 40
    • 0024111204 scopus 로고
    • Certain integral and differential types of variational principles in nonlinear piezoelectricity
    • Dökmeci, M. C.: Certain integral and differential types of variational principles in nonlinear piezoelectricity. IEEE Trans. Ultrason. Ferroelec. Freq. Contr. 35, 775-787, 1988.
    • (1988) IEEE Trans. Ultrason. Ferroelec. Freq. Contr. , vol.35 , pp. 775-787
    • Dökmeci, M.C.1
  • 42
    • 85025237802 scopus 로고
    • Recent advances and applications of reduction methods
    • Noor, A. K.: Recent advances and applications of reduction methods. Appl. Mech. Rev. 47, 125-146 (1994).
    • (1994) Appl. Mech. Rev. , vol.47 , pp. 125-146
    • Noor, A.K.1
  • 43
    • 0000513763 scopus 로고
    • On kinematic assumptions of refined theories of plates: A survey
    • Jemielita, G.: On kinematic assumptions of refined theories of plates: a survey. J. Appl. Mech. 57, 1088-1091 (1990).
    • (1990) J. Appl. Mech. , vol.57 , pp. 1088-1091
    • Jemielita, G.1
  • 44
    • 35949014378 scopus 로고
    • Heat waves
    • addendum 62, 375-391 (1990)
    • Joseph, D. D., Preziosi, L.: Heat Waves. Rev. Modern Physics 61, 41-73 (1989); addendum 62, 375-391 (1990).
    • (1989) Rev. Modern Physics , vol.61 , pp. 41-73
    • Joseph, D.D.1    Preziosi, L.2
  • 45
    • 0000309168 scopus 로고    scopus 로고
    • Kármán-mindlin plate equations for thermoelastic vibrations of temperature-dependent materials
    • Altay, A. G., Dökmeci, M. C.: Kármán-Mindlin plate equations for thermoelastic vibrations of temperature-dependent materials. ARI 50, 110-126 (1997).
    • (1997) ARI , vol.50 , pp. 110-126
    • Altay, A.G.1    Dökmeci, M.C.2
  • 47
    • 0002943466 scopus 로고
    • A uniqueness theorem in the theory of cosserat surface
    • Naghdi, P. M., Trapp, J. A.: A uniqueness theorem in the theory of Cosserat surface. J. Elasticity 2, 9-20 (1972).
    • (1972) J. Elasticity , vol.2 , pp. 9-20
    • Naghdi, P.M.1    Trapp, J.A.2
  • 48
    • 36749120012 scopus 로고
    • Theory of vibrations of coated, thermopiezoelectric laminae
    • Dökmeci, M. C.: Theory of vibrations of coated, thermopiezoelectric laminae. J. Math. Phys. 19, 109-126 (1978).
    • (1978) J. Math. Phys. , vol.19 , pp. 109-126
    • Dökmeci, M.C.1
  • 49
    • 0022880731 scopus 로고
    • Heat conduction in plates and shells with emphasis on a conical shell
    • Rubin, M. B.: Heat conduction in plates and shells with emphasis on a conical shell. Int. J. Solids Struct. 22, 527-551 (1986).
    • (1986) Int. J. Solids Struct. , vol.22 , pp. 527-551
    • Rubin, M.B.1
  • 50
    • 0016073063 scopus 로고
    • Equations of high frequency vibrations of thermopiezoelectric plates
    • Mindlin R. D.: Equations of high frequency vibrations of thermopiezoelectric plates. Int. J. Solids Struct. 10 (6), 625-637 (1974).
    • (1974) Int. J. Solids Struct. , vol.10 , Issue.6 , pp. 625-637
    • Mindlin, R.D.1
  • 51
    • 0015082649 scopus 로고
    • On uniqueness in the linear theory of elastic shells and plates
    • Green, A. E., Naghdi, P. M.: On uniqueness in the linear theory of elastic shells and plates. J. Mécanique 10, 251-261 (1971).
    • (1971) J. Mécanique , vol.10 , pp. 251-261
    • Green, A.E.1    Naghdi, P.M.2
  • 55
    • 0342731682 scopus 로고
    • Uniqueness in the theory of thermorheologically simple ablating viscoelastic solids
    • (Drucker, D. C.; ed.). The Prager anniversary volume, New York: Macmillan
    • Sternberg, E., Gurtin, M. E.: Uniqueness in the theory of thermorheologically simple ablating viscoelastic solids. In: Progress in applied mechanics (Drucker, D. C.; ed.). The Prager anniversary volume, p. 373-378. New York: Macmillan 1963.
    • (1963) Progress in Applied Mechanics , pp. 373-378
    • Sternberg, E.1    Gurtin, M.E.2
  • 56
    • 0000320027 scopus 로고
    • Thermal stresses in material with temperature-dependent properties
    • Noda, N.: Thermal stresses in material with temperature-dependent properties. Appl. Mech. Rev. 44, 383-397 (1991).
    • (1991) Appl. Mech. Rev. , vol.44 , pp. 383-397
    • Noda, N.1
  • 57
    • 0343947844 scopus 로고    scopus 로고
    • Numerical algorithms for dynamics of thermopiezoceramic bars
    • Altay, A. G., Dökmeci, M. C.: Numerical algorithms for dynamics of thermopiezoceramic bars. ZAMM 77 (6), 429-445 (1997).
    • (1997) ZAMM , vol.77 , Issue.6 , pp. 429-445
    • Altay, A.G.1    Dökmeci, M.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.