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Zum Potential der Materialfunktionen nichtlinear-viskoelastischer Stoffe. (German) Zbl 0465.73037

MSC:

74D05 Linear constitutive equations for materials with memory
74D10 Nonlinear constitutive equations for materials with memory
74A20 Theory of constitutive functions in solid mechanics
74B20 Nonlinear elasticity
49J40 Variational inequalities
47Gxx Integral, integro-differential, and pseudodifferential operators
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
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[1] Bergander, H.: Berechnungsgerechte Deformationsgesetze in der nichtlinearen Viskoelastizitätstheorie. Mitt. der Math. Gesellschaft der DDR1975, 3/4, 5-37. · Zbl 0327.73039
[2] Bergander, H.: Die Aufbereitung der Grundgleichungen der nichtlinearen Viskoelastizitätstheorie für die numerische Lösung von Anfangs-Randwertproblemen. Diss. B, TU Dresden, 1976.
[3] Bergander, H.: Eine verallgemeinerte Darstellung inelastischer Deformationsgesetze zur Erleichterung der numerischen Lösung von Anfangs-Randwertproblemen. ZAMM58, 489-499 (1978). · Zbl 0392.73012 · doi:10.1002/zamm.19780581104
[4] Leadermann, H.: Elastic and creep properties of filamentous materials and other high polymers. Washington: Textile Foundation 1943.
[5] ???????, ?. ?.; ???????, ?. ?.: ?????? ?????????????? ?????? ??????????????????? ??????: 1970.
[6] ?????????, ?. ?.: ????????????? ???????????? ?????????? ??????: 1972.
[7] Lockett, F. J.: Nonlinear viscoelastic solids. London-New York: 1972. · Zbl 0333.73034
[8] Findley, W. N., Lai, J. S., Onaran, K.: Creep and relaxation of nonlinear viscoelastic materials. Amsterdam (u.a.): 1976. · Zbl 0345.73034
[9] Balke, H.: Thermodynamische Analyse von Deformationsgesetzen des Modellstruktursystems. ZAMM54, 233-240 (1974). · Zbl 0286.73008
[10] Biot, M. A.: Theory of stress-strain relations in anisotropic viscoelasticity and relaxation phenomena. J. Appl. Phys.26, 1385-1391 (1954). · Zbl 0057.19103 · doi:10.1063/1.1721573
[11] Ziegler, H.: Thermodynamik und rheologische Probleme. Ing.-Arch.25, 58-70 (1957). · Zbl 0078.38904 · doi:10.1007/BF00536645
[12] Ziegler, H.: An attempt to generalize Onsager’s principle and its significance for rheological problems. ZAMP9b, 748-763 (1958). · Zbl 0081.40002 · doi:10.1007/BF02424793
[13] Ziegler, H.: Zwei Extremalprinzipien der irreversiblen Thermodynamik. Ing.-Arch.30, 410-416 (1961). · doi:10.1007/BF00531783
[14] Ziegler, H.: A possible generalization of Onsager’s theory. In: Parkus, H., Sedov, L. I.: Irreversible aspects of continuum mechanics and transfer of physical characteristics in moving fluids, Symposia IUTAM Vienna 1966, pp. 411-424. Wien-New York: Springer 1968.
[15] Ziegler, H.: Proof of an orthogonality principle in irreversible thermodynamics. ZAMP21, 853-863 (1969). · Zbl 0208.27402 · doi:10.1007/BF01594846
[16] Balke, H.: Eine Bemerkung zum Zieglerschen Dissipationsprinzip in der nichtlinearen Viskoelastizitätstheorie. ZAMM56, 247-251 (1976). · Zbl 0358.73041 · doi:10.1002/zamm.19760560605
[17] Drucker, D. C.: A definition of stable inelastic material. J. Appl. Mech.26, 101-106 (1959). · Zbl 0088.17103
[18] Schwetlick, H.: Numerische Lösung nichtlinearer Gleichungen. Berlin: 1979. · Zbl 0402.65028
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