Engineering Transactions, 9, 3, pp. 401-421, 1961

Dynamiczne Zagadnienia Ciał o Własnościach Lepko-Sprężystych

Z. Olesiak
Instytut Podstawowych Problemów Techniki PAN

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.
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


C. ZENER, Elasticity and anelasticity of metals, Chicago 1948.

[in Russian]

J. H. POYNTING and J. J. THOMSON, Podręcznik fizyki, rozdział Properties of Matter, Londyn 1907.

T. ALPREY, Quart. J. of Appl. Math. 2, 113 (1944) i 3, 143 (1945-1946).

T. ALFREY, E. F. GURNEE, Rheology, t.I, New York 1956.

L. BOLTZMANN, Ann. d. Physik 7, 624 (1876) oraz Sitzungsb. Akad. Wiss. Wien-Berlin, 70; 275 (1874).

V.VOLTERRA, Leçons sur les fonctions des lignes, 1913.

R. SIPS, General theory of deformation of viscoelastic substances, J. of Polym. Sci., 2-3, 7 (1951).

[in Russian]

[in Russian]

R. W. BAILEY, The Utilization of Creep Test Data in Engineering Design, Proc. Inst. Mech. Eng., 131 (1935), 131.

DAVENPORT, Correlation of Creep and Relaxation Properties of. Copper, J. of Appl. Mech., 2, 5 (1938).

[in Russian]

[in Russian]

[in Russian]

G. DUFFING, Forschung auf dem Gebiete des Ingenieurwesens, 3, 2 (1931).

[in Russian]

[in Russian]

G.I. TAYLOR, J. Inst. Civil Engrs, 26 (1946), 486.

E. VOLTERRA, Nuovo Cim., 4 (1948).

H. KOLSKY, Proc. Phys. Soc. B, 62 (1949), 676.

L. R. G. TRELOAR, The Physics of Rubber Elasticity, Oxford Clarendon Press, 1949.

B. GROSS, Mathematical Structure of the Theories of Visco-Elasticity, Paris 1953.

J.J. BENBOW, The Dynamic Mechanical Properties of Some Organic Glasses, Proc. Phys. Soc. B, 67 (1954), 120-130.

J. D. FERRY, Rheology, V. 2, New York 1956.

H. KOLSKY, Attenuation of Short Mechanical Pulses by High Polymers, Proc. 2nd. Int. Congress on Rheology, Londyn 1954, 79-84.

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.

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.

H. KOLSKY, The Propagation of Stress Pulses in Visco-Elastic Solids, Phil. Mag., 1, 1956, 693-710.

B. H. LEE, I. KANTER, Wave Propagation in Finite Rods of Visco-Elastic Material, J. Appl. Phys., 24, 1953, 1115-1122.

[in Russian]

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.

D.S. BERRY, S. C. HUNTER, The Propagation of Dynamic Stresses in Visco-Elastic Rods, J. Mech. Phys. Solids, 4, 1956, 72-95.

M. BIENIEK, Podstawy dynamiki ciał niesprężystych, Arch. Mech. Stos., 4 (1952), 43-92.

H. C. MATTICE, P. LIEBER, On Attenuation of Waves Produced in Visco-Elastic Materials, Trans. Amer. Geophysical Union, 35, 1954, 614-624.

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.

D.S. BERRY, Stress Propagation in Visco-Elastic Bodies, J. Mech. Phys. Solids, 3, 6 (1958).

Z. OLESIAK, Rozprzestrzenianie się naprężeń w lepko-sprężystej przestrzeni z pustką kulistą, (w przygotowaniu).

W. NOWACKI, Stress Propagation in an Infinite Viscoelastic Body Produced by a Time-Variable Point Force, Arch. Mech. Stos., 6, 11 (1959), 737.

W. M. EWING, W.S. JARDETZKY, F. Press, Elastic Waves in Layered Media, 1957.

P. CALOY, Comportement des ondes de Rayleigh dans un milieu firmo-élastique indéfini, Publ., Bur. Central Séism. Intern. A, 17 (1948), 89-108.

M. NEWLANDS, Lamb's Problem with Internal Dissipation. I, J. Acoust: Soc. Amer., 26, 1954, 434-448.

D. R. BLAND, The Theory of Linear Viscoelasticity, London 1960.

[in Russian]

[in Russian]

H. KOLSKY, Stress Waves in Solids, Oxford 1953.

W. NOWACKI, Zagadnienia termosprężystości, PWN Warszawa 1960.

W. NOWACKI, Thermal Stresses, London.1962.

S. KALISKI, Pewne problemy brzegowe dynamicznej teorii sprężystości i ciał niesprężystych, Wyd. Wojsk. Akad. Techn., Warszawa 1957.

B. A. BOLEY, J. H. WEINER, Theory of Thermal Stresses, New York, London 1960, 502-508.

[in Russian]

[in Russian]

R. M. DAVIES, Surveys in Mechanics, G.I. Taylor 70-th Anniversary Vol., Cambridge 1956.

H. KOLSKY, The Propagation of Stress Waves in Viscoelastic Solids, Appl. Mech. Reviews, 9, 11 (1958).

[in Russian]

W. NOWACKI, Thermal Stresses Due to the Action of Heat Sources in a Viscoelastic Space, Arch. Mech. Stos., 1, 11 (1959), 111.

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.

W. NOWACKI, Transient Thermal Stresses in Viscoelastic Bodies (I), Arch. Mech. Stos., 5, 11 (1959), 649.

W. NOWACKI, Ausbreitung der Wärmespannungen in viscoelastischen Körpern, Österreich. Ing. Archiv, 1961.

[in Russian]

M. SOKOLOWSKI, Naprężenia cieplne w kuli wykonanej z materiału o własnościach lepko-sprężystych, Ksiega Jubil. Prof. W Wierzbickiego, PWN Warszawa 1959.

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).

M. ZÓRAWSKI, Moving Dynamic Heat Sources in a Viscoelastic Space and Corresponding Basic Solutions for Moving Sources, Arch. Mech. Stos., 2, 13 (1961).

M. ZÓRAWSKI, Determination of Stresses Generated in a Layer and a Viscoelastic Closed Spherical Shaell, Bull. Acad. Pol. Sci., Série IV, 10, 8 (1960).

M. ZÓRAWSKI, Dynamic Nucleus of Thermoelastic Strain in Viscoelastic Space, Bull. Acad. Pol. Sci., Série IV, 2, 9 (1961).