메뉴 건너뛰기




Volumn 13, Issue 1, 2009, Pages 93-115

Uniqueness and reciprocal theorems in linear micropolar electro-magnetic thermoelasticity with two relaxation times

Author keywords

Electro magnetic thermoelasticity; Integral representation formulas; Micropolar theory; Reciprocal theorem; Temperature rate dependent thermoelasticity; Uniqueness theorem

Indexed keywords

DIFFERENTIAL EQUATIONS; ELASTIC MODULI; ELASTICITY; LAPLACE TRANSFORMS;

EID: 60649119349     PISSN: 13852000     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11043-008-9068-3     Document Type: Article
Times cited : (31)

References (48)
  • 1
    • 0035472253 scopus 로고    scopus 로고
    • Micromechanical prediction of the effective behavior of fully coupled electro-magneto-thermo-elastic multiphase composites
    • J. Aboudi 2001 Micromechanical prediction of the effective behavior of fully coupled electro-magneto-thermo-elastic multiphase composites Smart Mater. Struct. 10 867 877
    • (2001) Smart Mater. Struct. , vol.10 , pp. 867-877
    • Aboudi, J.1
  • 3
    • 0035281903 scopus 로고    scopus 로고
    • Coupled thermoelastic shell equations with second sound for high-frequency vibrations of temperature-dependent materials
    • G.A. Altay M.C. Dokmeci 2001 Coupled thermoelastic shell equations with second sound for high-frequency vibrations of temperature-dependent materials Int. J. Solids Struct. 38 2737 2768
    • (2001) Int. J. Solids Struct. , vol.38 , pp. 2737-2768
    • Altay, G.A.1    Dokmeci, M.C.2
  • 4
    • 36849124387 scopus 로고
    • Thermoelasticity and irreversible thermodynamics
    • M. Biot 1956 Thermoelasticity and irreversible thermodynamics J. Appl. Phys. 27 240 253
    • (1956) J. Appl. Phys. , vol.27 , pp. 240-253
    • Biot, M.1
  • 5
    • 0023174367 scopus 로고
    • Some theorems in temperature-rate dependent thermoelasticity for unbounded domains
    • B. Carbonaro J. Ignaczak 1987 Some theorems in temperature-rate dependent thermoelasticity for unbounded domains J. Therm. Stresses 10 193 220
    • (1987) J. Therm. Stresses , vol.10 , pp. 193-220
    • Carbonaro, B.1    Ignaczak, J.2
  • 6
    • 0021696401 scopus 로고
    • A temperature-rate dependent thermo-piezoelectricity
    • D.S. Chandrasekharaiah 1984 A temperature-rate dependent thermo-piezoelectricity J. Therm. Stresses 7 293 306
    • (1984) J. Therm. Stresses , vol.7 , pp. 293-306
    • Chandrasekharaiah, D.S.1
  • 7
    • 0023962699 scopus 로고
    • A generalized linear thermoelasticity theory for piezoelectric media
    • 1
    • D.S. Chandrasekharaiah 1988 A generalized linear thermoelasticity theory for piezoelectric media Acta Mech. 71 1 39 49
    • (1988) Acta Mech. , vol.71 , pp. 39-49
    • Chandrasekharaiah, D.S.1
  • 8
    • 0023123247 scopus 로고
    • Variational and reciprocity principles in micropolar thermoelasticity
    • D.S. Chandrasekharaiah 1989 Variational and reciprocity principles in micropolar thermoelasticity Int. J. Eng. Sci. 25 55 63
    • (1989) Int. J. Eng. Sci. , vol.25 , pp. 55-63
    • Chandrasekharaiah, D.S.1
  • 9
    • 0001194946 scopus 로고    scopus 로고
    • Hyperbolic thermoelasticity: A review of recent literature
    • 51
    • D.S. Chandrasekharaiah 1998 Hyperbolic thermoelasticity: a review of recent literature Appl. Mech. Rev. 1 51 705 729
    • (1998) Appl. Mech. Rev. , vol.1 , pp. 705-729
    • Chandrasekharaiah, D.S.1
  • 10
    • 0036659343 scopus 로고    scopus 로고
    • Effective properties of layered magneto-electro-elastic composites
    • Z. Chen Y. Shouwen L. Meng Y. Lin 2002 Effective properties of layered magneto-electro-elastic composites Compos. Struct. 57 177 182
    • (2002) Compos. Struct. , vol.57 , pp. 177-182
    • Chen, Z.1    Shouwen, Y.2    Meng, L.3    Lin, Y.4
  • 11
    • 34250963757 scopus 로고
    • The thermodynamics of elastic materials with heat conduction and viscosity
    • B.D. Coleman W. Noll 1963 The thermodynamics of elastic materials with heat conduction and viscosity Arch. Ration. Mech. Anal. 13 167 178
    • (1963) Arch. Ration. Mech. Anal. , vol.13 , pp. 167-178
    • Coleman, B.D.1    Noll, W.2
  • 12
    • 0042234948 scopus 로고    scopus 로고
    • Some problems of the dynamical theory of linear nonmagnetizable piezoelectric micropolar thermoelasticity
    • 12
    • I.A. Crǎciun 1997 Some problems of the dynamical theory of linear nonmagnetizable piezoelectric micropolar thermoelasticity Int. J. Solids Struct. 34 12 1493 1503
    • (1997) Int. J. Solids Struct. , vol.34 , pp. 1493-1503
    • Crǎciun, I.A.1
  • 14
    • 0012244377 scopus 로고
    • A uniqueness theorem for linear theory of thermopiezoelectricity
    • R.S. Dhaliwal J. Wang 1991 A uniqueness theorem for linear theory of thermopiezoelectricity Z. Angew. Math. Mech. 74 558 560
    • (1991) Z. Angew. Math. Mech. , vol.74 , pp. 558-560
    • Dhaliwal, R.S.1    Wang, J.2
  • 15
    • 0242416183 scopus 로고    scopus 로고
    • Boundary integral equation formulation in generalized linear thermo-viscoelasticity with rheological volume
    • 5
    • A.S. El-Karamany 2003 Boundary integral equation formulation in generalized linear thermo-viscoelasticity with rheological volume J. Appl. Mech. Trans. ASME 70 5 661 667
    • (2003) J. Appl. Mech. Trans. ASME , vol.70 , pp. 661-667
    • El-Karamany, A.S.1
  • 16
    • 24944492630 scopus 로고    scopus 로고
    • Maysel's formula in the generalized linear micropolar thermoviscoelasticity
    • 5
    • A.S. El-Karamany 2004 Maysel's formula in the generalized linear micropolar thermoviscoelasticity Arch. Mech. 56 5 399 418
    • (2004) Arch. Mech. , vol.56 , pp. 399-418
    • El-Karamany, A.S.1
  • 17
    • 25444461479 scopus 로고    scopus 로고
    • Propagation of discontinuities in thermopiezoelectric rod
    • A.S. El-Karamany M.A. Ezzat 2005 Propagation of discontinuities in thermopiezoelectric rod J. Therm. Stresses 28 997 1030
    • (2005) J. Therm. Stresses , vol.28 , pp. 997-1030
    • El-Karamany, A.S.1    Ezzat, M.A.2
  • 18
    • 50549221753 scopus 로고
    • Nonlinear theory of simple micro-elastic solids i & II
    • 189
    • A.C. Eringen E.S. Suhubi 1964 Nonlinear theory of simple micro-elastic solids I & II Int. J. Eng. Sci. 2 189 205
    • (1964) Int. J. Eng. Sci. , vol.2 , pp. 205
    • Eringen, A.C.1    Suhubi, E.S.2
  • 19
    • 0000089781 scopus 로고
    • Linear theory of micropolar elasticity
    • A.C. Eringen 1966 Linear theory of micropolar elasticity J. Math. Mech. 15 909 992
    • (1966) J. Math. Mech. , vol.15 , pp. 909-992
    • Eringen, A.C.1
  • 20
    • 0000450433 scopus 로고
    • A unified theory of thermomechanical materials
    • A.C. Eringen 1966 A unified theory of thermomechanical materials Int. J. Eng. Sci. 4 179 202
    • (1966) Int. J. Eng. Sci. , vol.4 , pp. 179-202
    • Eringen, A.C.1
  • 23
    • 3242738285 scopus 로고    scopus 로고
    • Thermal-induced interfacial cracking of magnetoelectroelastic materials
    • F.N. Gao N. Noda 2004 Thermal-induced interfacial cracking of magnetoelectroelastic materials Int. J. Eng. Sci. 42 1347 1360
    • (2004) Int. J. Eng. Sci. , vol.42 , pp. 1347-1360
    • Gao, F.N.1    Noda, N.2
  • 25
    • 0001875698 scopus 로고
    • On the entropy production inequality
    • A.E. Green N. Laws 1972 On the entropy production inequality Arch. Rat. Mech. Anal. 45 47 53
    • (1972) Arch. Rat. Mech. Anal. , vol.45 , pp. 47-53
    • Green, A.E.1    Laws, N.2
  • 30
    • 0002937701 scopus 로고
    • Sur la theorie de la thermoelasticite micropolaire couplee
    • D. Iesan 1967 Sur la theorie de la thermoelasticite micropolaire couplee C. R. Acad. Sci. A 265 271 274
    • (1967) C. R. Acad. Sci. A , vol.265 , pp. 271-274
    • Iesan, D.1
  • 32
    • 0036498518 scopus 로고    scopus 로고
    • On the micromorphic thermoelasticity
    • D. Iesan 2002 On the micromorphic thermoelasticity Int. J. Eng. Sci. 40 549 567
    • (2002) Int. J. Eng. Sci. , vol.40 , pp. 549-567
    • Iesan, D.1
  • 35
    • 0037294487 scopus 로고    scopus 로고
    • Uniqueness and reciprocity theorems for linear thermo-electro-magneto- elasticity
    • 1
    • J.Y. Li 2003 Uniqueness and reciprocity theorems for linear thermo-electro-magneto-elasticity Q. J. Mech. Appl. Math. 56 1 35 43
    • (2003) Q. J. Mech. Appl. Math. , vol.56 , pp. 35-43
    • Li, J.Y.1
  • 36
    • 0032282492 scopus 로고    scopus 로고
    • Micromechanics of magnetoelectroelastic composite materials: Average field and effective behavior
    • J.Y. Li M.L. Dunn 1998 Micromechanics of magnetoelectroelastic composite materials: average field and effective behavior Mater. Syst. Struct. 9 404 416
    • (1998) Mater. Syst. Struct. , vol.9 , pp. 404-416
    • Li, J.Y.1    Dunn, M.L.2
  • 39
    • 34250475262 scopus 로고
    • The coldness, a universal function in thermoelastic bodies
    • I.M. Müller 1971 The coldness, a universal function in thermoelastic bodies Arch. Ration. Mech. Anal. 41 319 332
    • (1971) Arch. Ration. Mech. Anal. , vol.41 , pp. 319-332
    • Müller, I.M.1
  • 40
    • 0012243845 scopus 로고
    • A reciprocity theorem for coupled mechanical and thermoelectric fields in piezoelectric crystals
    • W. Nowacki 1965 A reciprocity theorem for coupled mechanical and thermoelectric fields in piezoelectric crystals Proc. Vibr. Prob. 1 3 11
    • (1965) Proc. Vibr. Prob. , vol.1 , pp. 3-11
    • Nowacki, W.1
  • 42
    • 0018019788 scopus 로고
    • Some general theorems of thermopiezoelectricity
    • W. Nowacki 1978 Some general theorems of thermopiezoelectricity J. Therm. Stresses 1 171 182
    • (1978) J. Therm. Stresses , vol.1 , pp. 171-182
    • Nowacki, W.1
  • 45
    • 0025550111 scopus 로고
    • On some theorems in the theory of micropolar thermoelasticity
    • A. Scalia 1990 On some theorems in the theory of micropolar thermoelasticity Int. J. Eng. Sci. 28 181 189
    • (1990) Int. J. Eng. Sci. , vol.28 , pp. 181-189
    • Scalia, A.1
  • 46
    • 0003359224 scopus 로고
    • Thermoelastic solids
    • Academic Press New York part 2, ch. 2
    • Suhubi, E.S.: Thermoelastic solids. In: Eringen, A.C. (ed.) Continuum Physics, vol. 2. Academic Press, New York (1975), part 2, ch. 2
    • (1975) Continuum Physics , vol.2
    • Suhubi, E.S.1    Eringen, A.C.2
  • 48
    • 0016118383 scopus 로고
    • An in situ grown eutectic magnetoelectric composite material
    • A.M.J.G. Van Run D.R. Terrell J.H. Scholing 1974 An in situ grown eutectic magnetoelectric composite material J. Mater. Sci. 9 1710 1714
    • (1974) J. Mater. Sci. , vol.9 , pp. 1710-1714
    • Van Run, A.M.J.G.1    Terrell, D.R.2    Scholing, J.H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.