Abstract
This is a survey written with the purpose of completing the analogous survey written by R. M. DAVIES, [53], and H. KOLSKY, [54]. In particular, it includes monographs and textbooks published in recent years (items [43] to [52]) and original works of Polish authors. The mathematical description of the problem is discussed as well as the methods of solving theoretical problems of viscoelastic bodies.References
[1] C. ZENER, Elasticity and anelasticity of metals, Chicago 1948.
[2] [in Russian]
[3] J. H. POYNTING and J. J. THOMSON, Podręcznik fizyki, rozdział Properties of Matter, Londyn 1907.
[4] T. ALPREY, Quart. J. of Appl. Math. 2, 113 (1944) i 3, 143 (1945-1946).
[5] T. ALFREY, E. F. GURNEE, Rheology, t.I, New York 1956.
[6] L. BOLTZMANN, Ann. d. Physik 7, 624 (1876) oraz Sitzungsb. Akad. Wiss. Wien-Berlin, 70; 275 (1874).
[7] V.VOLTERRA, Leçons sur les fonctions des lignes, 1913.
[8] R. SIPS, General theory of deformation of viscoelastic substances, J. of Polym. Sci., 2-3, 7 (1951).
[9] [in Russian]
[10] [in Russian]
[11] R. W. BAILEY, The Utilization of Creep Test Data in Engineering Design, Proc. Inst. Mech. Eng., 131 (1935), 131.
[12] DAVENPORT, Correlation of Creep and Relaxation Properties of. Copper, J. of Appl. Mech., 2, 5 (1938).
[13] [in Russian]
[14] [in Russian]
[15] [in Russian]
[16] G. DUFFING, Forschung auf dem Gebiete des Ingenieurwesens, 3, 2 (1931).
[17] [in Russian]
[18] [in Russian]
[19] G.I. TAYLOR, J. Inst. Civil Engrs, 26 (1946), 486.
[20] E. VOLTERRA, Nuovo Cim., 4 (1948).
[21] H. KOLSKY, Proc. Phys. Soc. B, 62 (1949), 676.
[22] L. R. G. TRELOAR, The Physics of Rubber Elasticity, Oxford Clarendon Press, 1949.
[23] B. GROSS, Mathematical Structure of the Theories of Visco-Elasticity, Paris 1953.
[24] J.J. BENBOW, The Dynamic Mechanical Properties of Some Organic Glasses, Proc. Phys. Soc. B, 67 (1954), 120-130.
[25] J. D. FERRY, Rheology, V. 2, New York 1956.
[26] H. KOLSKY, Attenuation of Short Mechanical Pulses by High Polymers, Proc. 2nd. Int. Congress on Rheology, Londyn 1954, 79-84.
[27] S. R. BODNER, H. KOLSKY, Stress Wave Propagation in Lead, Proc. 3rd. U. S. Nat. Congress of Appl. Mech., New York 1958, Amer. Soc. Mech. Engrs.
[28] J. H. C. THOMSON, On the Theory of Viscoelasticity: a Thermodynamical Treatment of
Viscoelasticity and Some Problems of the Vibrations of Viscoelastic Solids, Phil. Trans. Roy. Soc. (A) 231, 1933, 339-407.
[29] H. KOLSKY, The Propagation of Stress Pulses in Visco-Elastic Solids, Phil. Mag., 1, 1956, 693-710.
[30] B. H. LEE, I. KANTER, Wave Propagation in Finite Rods of Visco-Elastic Material, J. Appl. Phys., 24, 1953, 1115-1122.
[31] [in Russian]
[32] E. H. LEE, J. A. MORRISON, A Comparison of Propagation of Longitudinal Waves in Rods of Visco-Elastic Materials, J. Polym, Sci., 19 (1956), 93-110.
[33] D.S. BERRY, S. C. HUNTER, The Propagation of Dynamic Stresses in Visco-Elastic Rods, J. Mech. Phys. Solids, 4, 1956, 72-95.
[34] M. BIENIEK, Podstawy dynamiki ciał niesprężystych, Arch. Mech. Stos., 4 (1952), 43-92.
[35] H. C. MATTICE, P. LIEBER, On Attenuation of Waves Produced in Visco-Elastic Materials, Trans. Amer. Geophysical Union, 35, 1954, 614-624.
[36] H.L. OSTERREICHER, Field and Impedance of an Oscillating Sphere in a Visco-Elastic Medium with an Application to Biophysics, J. Acoust. Soc. Amer., 23, 1951, 707-714.
[37] D.S. BERRY, Stress Propagation in Visco-Elastic Bodies, J. Mech. Phys. Solids, 3, 6 (1958).
[38] Z. OLESIAK, Rozprzestrzenianie się naprężeń w lepko-sprężystej przestrzeni z pustką kulistą, (w przygotowaniu).
[39] W. NOWACKI, Stress Propagation in an Infinite Viscoelastic Body Produced by a Time-Variable Point Force, Arch. Mech. Stos., 6, 11 (1959), 737.
[40] W. M. EWING, W.S. JARDETZKY, F. Press, Elastic Waves in Layered Media, 1957.
[41] P. CALOY, Comportement des ondes de Rayleigh dans un milieu firmo-élastique indéfini, Publ., Bur. Central Séism. Intern. A, 17 (1948), 89-108.
[42] M. NEWLANDS, Lamb's Problem with Internal Dissipation. I, J. Acoust: Soc. Amer., 26, 1954, 434-448.
[43] D. R. BLAND, The Theory of Linear Viscoelasticity, London 1960.
[44] [in Russian]
[45] [in Russian]
[46] H. KOLSKY, Stress Waves in Solids, Oxford 1953.
[47] W. NOWACKI, Zagadnienia termosprężystości, PWN Warszawa 1960.
[48] W. NOWACKI, Thermal Stresses, London.1962.
[49] S. KALISKI, Pewne problemy brzegowe dynamicznej teorii sprężystości i ciał niesprężystych, Wyd. Wojsk. Akad. Techn., Warszawa 1957.
[50] B. A. BOLEY, J. H. WEINER, Theory of Thermal Stresses, New York, London 1960, 502-508.
[51] [in Russian]
[52] [in Russian]
[53] R. M. DAVIES, Surveys in Mechanics, G.I. Taylor 70-th Anniversary Vol., Cambridge 1956.
[54] H. KOLSKY, The Propagation of Stress Waves in Viscoelastic Solids, Appl. Mech. Reviews, 9, 11 (1958).
[55] [in Russian]
[56] W. NOWACKI, Thermal Stresses Due to the Action of Heat Sources in a Viscoelastic Space, Arch. Mech. Stos., 1, 11 (1959), 111.
[57] W.NOWACKI, Thermal Stress Propagation in Viscoelastic (I), Bull. Pol. Acad. Sci. Sér. IV, 4, 7 (1959), 257, oraz cz. (II) Bull. Pol. Acad. Sci. IV, 7-8, 7 (1959), 459.
[58] W. NOWACKI, Transient Thermal Stresses in Viscoelastic Bodies (I), Arch. Mech. Stos., 5, 11 (1959), 649.
[59] W. NOWACKI, Ausbreitung der Wärmespannungen in viscoelastischen Körpern, Österreich. Ing. Archiv, 1961.
[60] [in Russian]
[61] M. SOKOLOWSKI, Naprężenia cieplne w kuli wykonanej z materiału o własnościach lepko-sprężystych, Ksiega Jubil. Prof. W Wierzbickiego, PWN Warszawa 1959.
[62] M. ZÓRAWSKI, States of Stress Generated in a Viscoelastic Semi-space by a Flat Heat Source, Bull. Acad. Pol. Sci., Série IV, 4, 8 (1960).
[63] M. ZÓRAWSKI, Moving Dynamic Heat Sources in a Viscoelastic Space and Corresponding Basic Solutions for Moving Sources, Arch. Mech. Stos., 2, 13 (1961).
[64] M. ZÓRAWSKI, Determination of Stresses Generated in a Layer and a Viscoelastic Closed Spherical Shaell, Bull. Acad. Pol. Sci., Série IV, 10, 8 (1960).
[65] M. ZÓRAWSKI, Dynamic Nucleus of Thermoelastic Strain in Viscoelastic Space, Bull. Acad. Pol. Sci., Série IV, 2, 9 (1961).
[2] [in Russian]
[3] J. H. POYNTING and J. J. THOMSON, Podręcznik fizyki, rozdział Properties of Matter, Londyn 1907.
[4] T. ALPREY, Quart. J. of Appl. Math. 2, 113 (1944) i 3, 143 (1945-1946).
[5] T. ALFREY, E. F. GURNEE, Rheology, t.I, New York 1956.
[6] L. BOLTZMANN, Ann. d. Physik 7, 624 (1876) oraz Sitzungsb. Akad. Wiss. Wien-Berlin, 70; 275 (1874).
[7] V.VOLTERRA, Leçons sur les fonctions des lignes, 1913.
[8] R. SIPS, General theory of deformation of viscoelastic substances, J. of Polym. Sci., 2-3, 7 (1951).
[9] [in Russian]
[10] [in Russian]
[11] R. W. BAILEY, The Utilization of Creep Test Data in Engineering Design, Proc. Inst. Mech. Eng., 131 (1935), 131.
[12] DAVENPORT, Correlation of Creep and Relaxation Properties of. Copper, J. of Appl. Mech., 2, 5 (1938).
[13] [in Russian]
[14] [in Russian]
[15] [in Russian]
[16] G. DUFFING, Forschung auf dem Gebiete des Ingenieurwesens, 3, 2 (1931).
[17] [in Russian]
[18] [in Russian]
[19] G.I. TAYLOR, J. Inst. Civil Engrs, 26 (1946), 486.
[20] E. VOLTERRA, Nuovo Cim., 4 (1948).
[21] H. KOLSKY, Proc. Phys. Soc. B, 62 (1949), 676.
[22] L. R. G. TRELOAR, The Physics of Rubber Elasticity, Oxford Clarendon Press, 1949.
[23] B. GROSS, Mathematical Structure of the Theories of Visco-Elasticity, Paris 1953.
[24] J.J. BENBOW, The Dynamic Mechanical Properties of Some Organic Glasses, Proc. Phys. Soc. B, 67 (1954), 120-130.
[25] J. D. FERRY, Rheology, V. 2, New York 1956.
[26] H. KOLSKY, Attenuation of Short Mechanical Pulses by High Polymers, Proc. 2nd. Int. Congress on Rheology, Londyn 1954, 79-84.
[27] S. R. BODNER, H. KOLSKY, Stress Wave Propagation in Lead, Proc. 3rd. U. S. Nat. Congress of Appl. Mech., New York 1958, Amer. Soc. Mech. Engrs.
[28] J. H. C. THOMSON, On the Theory of Viscoelasticity: a Thermodynamical Treatment of
Viscoelasticity and Some Problems of the Vibrations of Viscoelastic Solids, Phil. Trans. Roy. Soc. (A) 231, 1933, 339-407.
[29] H. KOLSKY, The Propagation of Stress Pulses in Visco-Elastic Solids, Phil. Mag., 1, 1956, 693-710.
[30] B. H. LEE, I. KANTER, Wave Propagation in Finite Rods of Visco-Elastic Material, J. Appl. Phys., 24, 1953, 1115-1122.
[31] [in Russian]
[32] E. H. LEE, J. A. MORRISON, A Comparison of Propagation of Longitudinal Waves in Rods of Visco-Elastic Materials, J. Polym, Sci., 19 (1956), 93-110.
[33] D.S. BERRY, S. C. HUNTER, The Propagation of Dynamic Stresses in Visco-Elastic Rods, J. Mech. Phys. Solids, 4, 1956, 72-95.
[34] M. BIENIEK, Podstawy dynamiki ciał niesprężystych, Arch. Mech. Stos., 4 (1952), 43-92.
[35] H. C. MATTICE, P. LIEBER, On Attenuation of Waves Produced in Visco-Elastic Materials, Trans. Amer. Geophysical Union, 35, 1954, 614-624.
[36] H.L. OSTERREICHER, Field and Impedance of an Oscillating Sphere in a Visco-Elastic Medium with an Application to Biophysics, J. Acoust. Soc. Amer., 23, 1951, 707-714.
[37] D.S. BERRY, Stress Propagation in Visco-Elastic Bodies, J. Mech. Phys. Solids, 3, 6 (1958).
[38] Z. OLESIAK, Rozprzestrzenianie się naprężeń w lepko-sprężystej przestrzeni z pustką kulistą, (w przygotowaniu).
[39] W. NOWACKI, Stress Propagation in an Infinite Viscoelastic Body Produced by a Time-Variable Point Force, Arch. Mech. Stos., 6, 11 (1959), 737.
[40] W. M. EWING, W.S. JARDETZKY, F. Press, Elastic Waves in Layered Media, 1957.
[41] P. CALOY, Comportement des ondes de Rayleigh dans un milieu firmo-élastique indéfini, Publ., Bur. Central Séism. Intern. A, 17 (1948), 89-108.
[42] M. NEWLANDS, Lamb's Problem with Internal Dissipation. I, J. Acoust: Soc. Amer., 26, 1954, 434-448.
[43] D. R. BLAND, The Theory of Linear Viscoelasticity, London 1960.
[44] [in Russian]
[45] [in Russian]
[46] H. KOLSKY, Stress Waves in Solids, Oxford 1953.
[47] W. NOWACKI, Zagadnienia termosprężystości, PWN Warszawa 1960.
[48] W. NOWACKI, Thermal Stresses, London.1962.
[49] S. KALISKI, Pewne problemy brzegowe dynamicznej teorii sprężystości i ciał niesprężystych, Wyd. Wojsk. Akad. Techn., Warszawa 1957.
[50] B. A. BOLEY, J. H. WEINER, Theory of Thermal Stresses, New York, London 1960, 502-508.
[51] [in Russian]
[52] [in Russian]
[53] R. M. DAVIES, Surveys in Mechanics, G.I. Taylor 70-th Anniversary Vol., Cambridge 1956.
[54] H. KOLSKY, The Propagation of Stress Waves in Viscoelastic Solids, Appl. Mech. Reviews, 9, 11 (1958).
[55] [in Russian]
[56] W. NOWACKI, Thermal Stresses Due to the Action of Heat Sources in a Viscoelastic Space, Arch. Mech. Stos., 1, 11 (1959), 111.
[57] W.NOWACKI, Thermal Stress Propagation in Viscoelastic (I), Bull. Pol. Acad. Sci. Sér. IV, 4, 7 (1959), 257, oraz cz. (II) Bull. Pol. Acad. Sci. IV, 7-8, 7 (1959), 459.
[58] W. NOWACKI, Transient Thermal Stresses in Viscoelastic Bodies (I), Arch. Mech. Stos., 5, 11 (1959), 649.
[59] W. NOWACKI, Ausbreitung der Wärmespannungen in viscoelastischen Körpern, Österreich. Ing. Archiv, 1961.
[60] [in Russian]
[61] M. SOKOLOWSKI, Naprężenia cieplne w kuli wykonanej z materiału o własnościach lepko-sprężystych, Ksiega Jubil. Prof. W Wierzbickiego, PWN Warszawa 1959.
[62] M. ZÓRAWSKI, States of Stress Generated in a Viscoelastic Semi-space by a Flat Heat Source, Bull. Acad. Pol. Sci., Série IV, 4, 8 (1960).
[63] M. ZÓRAWSKI, Moving Dynamic Heat Sources in a Viscoelastic Space and Corresponding Basic Solutions for Moving Sources, Arch. Mech. Stos., 2, 13 (1961).
[64] M. ZÓRAWSKI, Determination of Stresses Generated in a Layer and a Viscoelastic Closed Spherical Shaell, Bull. Acad. Pol. Sci., Série IV, 10, 8 (1960).
[65] M. ZÓRAWSKI, Dynamic Nucleus of Thermoelastic Strain in Viscoelastic Space, Bull. Acad. Pol. Sci., Série IV, 2, 9 (1961).
