Zusammenfassung
Wie aus den Versuchsergebnissen in Kap. 6 zu ersehen, setzen sich die Verschiebungen in der Trennfläche aus reversiblen und irreversiblen Anteilen zusammen.
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Literatur
Argyris J.H., Faust G., Szimmat J. et al.: Recent developments in the finite element analysis of prestressed concrete reactor vessels. 2nd SMIRT, Berlin (D) 1973, paper H1/1. Nucl. Eng. Design 28 (1974), 42–75.
Aubry D., Des Crois P.H.: Numerical algorithm for an elastoplastic constitutive equation with two yield surfaces. 3rd ICONMIG, Aachen (D) 1979. Proc. [Wittke] 1, 283–288.
Basso R., Berti G., Cossalter V.: Experimental and theoretical analysis on the stick-slip problem. Int. Conf. “Computational Plasticity”, Barcelona (E) 1987. Proc. [Owen et al.] 1, 231–242.
Batant Z.P.: Work inequalities for plastic fracturing materials. Int. J. Solids Struct. 19 (1980), 873–901.
Batant Z.P., General Discussion at IABSE Coll. “Advanced Mechanics of Reinforced Concrete”, Delft (NL) 1981. Work. Comm. Rep. 34, p. 248.
Carol I., Alonso E.E.: A new joint element for the analysis of fractu- red rock. 5th ISRM, Melbourne (AUS) 1983. Prepr. F, 147–151.
Carol I., Gens A., Alonso E.E.: A three-dimensional elastoplastic joint element. Int. Symp. “Fundamentals of Rock Joints”, Björkliden (S) 1985. Proc. [Stephansson], 441–451.
Chen E.Y.-T., Schnobrich W.C.: Models for the post-cracking behavior of plain concrete under short term monotonic loading. Comp. & Struct. 13 (1981), 213–221.
Chen E.Y.-T., Schnobrich W.C.: Material modelling of plain concrete. IABSE Coll. “Advanced Mechanics of Reinforced Concrete”, Delft (NL) 1981. Work. Comm. Rep. 34, 31–52.
Chen W.F., Ting E.C.: Constitutive models for concrete structures. ASCE J. 106 (1980) EM1, 1–19.
Chen W.F.: Plasticity in reinforced concrete. McGraw-Hill, New York 1982.
Chi H.-M., Powell G.H.: Computational procedures for inelastic finite element analysis. UC/SESM-73/02, UC Berkeley 1973.
Cramer H., Wunderlich W., Kutter H.K., Rahn W.: FE analysis of stress distribution, induced fracture and post-failure behaviour along a shear zone in rock. 3rd ICONMIG, Aachen (D) 1979. Proc. [Wittke] 2, 505–513.
Cramer H.: Numerische Behandlung nichtlinearer.Probleme der Boden- and Felsmechanik mit elasto-plastischen Stoffgesetzen. KIB Mittlg. 80–5, Ruhr-Univ. Bochum 1980.
Curnier A.: A rather general theory of friction, inspired from the classical theory of plasticity, includes contact impenetrability. Int. J. Solids Struct. 20 (1984) 7, 637–647.
Desai C.S., Siriwardane H.J.: A concept of correction funcions to account for non-associative characteristics of geologic materials. Int. J. Num. Anal. Meth. Gomech. 4 (1980), 377–387.
Desai C.S., Galagoda H.M., Wathagula G.W.: Hierarchical modelling for geologic materials and discontinuities — Joints, interfaces. 2nd Int. Conf. “Constitutive Laws for Engineering Materials”, Tucson/Az. 1987. Proc. [Desai et al’.], 1, 81–94.
DiMaggio F.L., Sandler I.S.: Material model for granular soils. ASCE J. 97 (1971) EM3, 935–950.
Divakar M.P., Fafitis A., Shah S.P.: Constitutive modelling of rough interfaces in sliding shear. 2nd Int. Conf. “Constitutive Laws for Engineering Materials”, Tucson/Az. 1987. Proc. [Desai et al.], 2, 1027–1034.
Drucker D.C.: A definition of stable inelastic material. J. Appl. Mech. 26 (1959), 101–106.
Drucker D.C.: Concept of path independence and material stability of soils. IUTAM Symp. “Rheology and Soil Mechanics”, Grenoble (F) 1964. Proc. [Kravtchenko, Sirieys], 24–46.
Dunders J., Comninou M.: An educational elasticity problem with friction — 1. Loading and unloading for weak friction, J. Appl. Mech. 48 (1981), 841–845;
Dunders J., Comninou M.: An educational elasticity problem with friction — 2. Unloading for strong friction and reloading, 49 (1982), 47–51;
Dunders J., Comninou M.: An educational elasticity problem with friction — 3. General load paths, 50 (1983), 77–84.
Dungar R.: Linear and non-linear modelling of geomechanical media. In: Geomechanical modelling in practice [Dungar, Studer], Balkema, Rotterdam 1986. Ch. 1, 3–46.
Duvaut G.: Problèmes mathematiques de la mechanique — Equilibre d’un solide élastique avec contact unilateral et frottement de Coulomb. C. R. Acad. Sc., Paris 1980, t. 290 serie A, 263–265.
Fishman K.L., Desai C.S.: A constitutive model for hardening behavior of rock joints. 2nd Int. Conf. “Constitutive Laws for Engineering Materials”, Tucson/Az. 1987. Proc. [Desai et al.], 2, 1043–1050.
Fritz P.: Numerische Erfassung rheologischer Probleme in der Felsmecha- nik. Diss. ISETH, Mittlg. 47, Zürich April 1981.
Fung Y.C.: Foundations of solid mechanics. Prentice-Hall, Englewood Cliffs 1965.
Gens A, Potts D.M.: The use of critical state models in numerical analysis of geotechnical problems — A review. Int. Conf. “Computational Plasticity”, Barcelona (E) 1987. Proc. [Desai et al.] 2, 1491–1525.
Hilber H.H., Raisch D.: Nichtlineare zweidimensionale FE-Modelle für praxisnahe Tunnelberechnungen. 11th Int. FE Congr., Baden-Baden (D) 1982. Proc. [IKOSS, Stuttgart], 118–161.
Ichikawa Y., Yamabe T. et al.: Brittle-ductile fracture of a tuffaceous rock and plasticity theory. 1st Int. Conf. “Constitutive Laws for Engineering Materials”, Tucson/Az. 1983. Proc. [Desai, Gallagher], 349–356.
Iwan W.D.: The distributed-element concept of hysteretic modeling and its application to transient response problems. 4th WCEE, Santiago (Chile) 1969. Proc. 2, 45–57.
Iwan W.D.: A model for the dynamic analysis of deteriorating structures. ASME Symp. “Applied Mechanics in Earthquake Engineering”, AMD-8, 1974, 135–162.
Iwan W.D.: A model for the dynamic analysis of deteriorating structures. Application of nonlinear analysis techniques. 5th WCEE, Rome 1973. Proc. 2, 1782–1791.
Ke Hsu-Jun: Non-linear analysis of a joint element and its application in rock engineering. Int. J. Num. Anal. Meth. Geomech. 5 (1981), 229–245.
Ke Hsu-Jun: Some considerations about the constitutive relations of the joints in rock. Int. Symp. “Numerical Models in Geomechanics”, Zürich 1982. Proc. [Dungar et al.], 227–233.
Klee K.-D., Paulun J., Stein E.: Entwicklung inelastischer Stoffgesetze durch Aquivalenz- und Grenzbetrachtungen und ihre numerische Behandlung. Ing.-Archiv 50 (1981), 353–364.
Kovari K.: Micromechanics models of progressive failure in rock and rock-like materials. Symp. Assoc. Geotec. Ital. “Geotechnics of Complex Formations”, Capri 1977. Proc. 1, 307–316.
Krause H., Poll G.: Die Dissipation mechanischer Energie bei der Festkörperreibung. Schmiertechnik+Tribologie 26 (1979) 5, 174–176.
Krieg R.D., Krieg D.B.: Accuracies of numerical solution methods for the elastic-perfectly plastic model. ASME J. Pressure Vessel Techn. 99 (1977) 4, 510–515.
Lade P.V.: Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces. Int. J. Solids Struct. 13 (1977), 1019–1035.
Mandel J.: Conditions de stabilité et postulat de Drucker. IUTAM Symp. “Rheology and Soil Mechanics”, Grenoble (F) 1964. Proc. [Kravtchenko, Sirieys], 58–68.
Marques J.M.M.C.: Stress computation in elastoplasticity. Eng. Comput. 1 (1984), 42–51.
Mehlhorn G., Dinges D., Keuser M., Kolmar W.: Some aspects of modeling reinforced concrete structures by finite elements. Europe-U.S. Symp. “FE Methods for Nonlinear Problems”, Trondheim (N) 1985. Prepr. 2, 16. 1–28.
Michalowski R., Mróz Z.: Associated and non-associated sliding rules in contact friction. Archiw. Mech. Stos. 30 (1978) 3, 259–276.
Mondkar D.P., Powell G.H.: Static and dynamic analysis of nonlinear structures. UCB/EERC-75/10, 1975.
Mondkar D.P., Powell G.H.: Gap-friction element (type 5) for the ANSR-II program. UCB/EERC-80/23, 1980.
Mróz Z.: On hypoelasticity and plasticity approaches to constitutive modelling of inelastic behaviour of soils. Int. J. Num. Anal. Meth. Geomech. 4 (1980) 1, 45–55.
Mühlhaus H.B.: Berücksichtigung von Unstetigkeiten im Verzerrungsfeld bei der Lösung von Randwertproblemen in der Felsmechanik. SFB 77 (Proj. C.4), Jahresber. 1976, Univ. Karlsruhe 1977, 223–228.
Nayak G.C., Zienkiewicz O.C.: Elasto-plastic stress analysis — A generalization for various constitutive relations including strain softening. Int. J. Num. Meth. Eng. 5 (1972), 113–135.
Nelson I. Baladi G.Y.: Outrunning shock computed with different models. ASCE J. 103 (1977) EM3, 377–393.
Oden J.T., Martins J.A.C.: Models and computational methods for dynamic friction phenomena. 3rd FENOMECH’84. Comp. Meth. Appl. Mech. Eng. 52 (1985), 527–634.
Olsson W.A.: A constitutive model for frictional slip on rock interfaces. Mechanics of Materials 3 (1984), 295–299.
Ortiz M., Popov E.P.: Accuracy and stability of integration algorithms for elastoplastic constitutive relations. Int. J. Num. Meth. Eng. 21 (1985) 9, 1561–1576.
Ortiz M., Simo J.C.: An analysis of a new class of integration algorithms for elastoplastic constitutive relations. Int. J. Num. Meth. Eng. 23 (1986), 353–366.
Owen D.R.J., Prakash A., Zienkiewicz O.C.: Finite element analysis of non-linear composite materials by use of overlay systems. Comp. & Struct. 4 (1974) 6, 1251–1267.
Pande G.N.: Viscoplastic algorithm for modelling tensile nonlinearity in rock and concrete structures. ASME Meetg. “Mechanics of Bimodulus Materials” [Bert], AMD-33, 1979.
Pande G.N., Shen A.: A two surface multi-laminate model for dynamic analysis of rock structures. 4th Int. Conf. ‘Numer. Methods in Geomechanics’, Edmonton (CA) 1982. Proc. ( Ed. Eisenstein ) 1, 421–426.
Plesha M.E.: Constitutive models for rock discontinuities with dilatancy and surface degradation. Int. J. Num. Anal. Meth. Geomech. 11 (1987) 4, 345–362.
Potts D.M., Gens A.: Correcting for yield surface drift in elasto-plastic finite element analysis. 2nd Int. Conf. “Numerical Methods for Nonlinear Problems”, Barcelona (E) 1984. Proc. [Taylor et al.], 1024–1034.
Prévost J.-H., Höeg K.: Soil mechanics and plasticity analysis of strain softening. Géotechnique 25 (1975) 2, 279–297.
Riddel R., Newmark N.M.: Force-deformation models for nonlinear analysis. ASCE J. 105 (1979) ST12, 2773–2778.
Roscoe K.H., Burland J.B.: On the generalized stress-strain behavior of wet clay. In: Engineering plasticity [Heyman, Lecki], Cambridge Univ. Press, London 1968.
Saiidi M.: Hysteresis models for reinforced concrete. ASCE J. 108 (1982) STS, 1077–1087.
Sandler I.S., DiMaggio F.L., Baladi G.Y.: Generalized cap model for geologic materials. ASCE J. 102 (1976) GT7, 683–699.
Schad H.: Nichtlineare Stoffgleichungen für Böden and ihre Verwendung bei der numerischen Analyse von Grundbauaufgaben. Diss., Baugrundinstitut Mittlg. 10, Univ. Stuttgart 1979.
Schreyer H.L., Kulak R.F., Kramer J.M.: Accurate numerical solutions for elasto-plastic models. J. Pressure Vessel Techn. 101 (1979), 226–234.
Sloan A.C.: Substepping schemes for the numerical integration of elastoplastic stress-strain relations. Int. J. Num. Meth. Eng. 24 (1987) 5, 893–911.
Sofianos A.I., Watson J.O.: Analysis of excavations in jointed rock of infinite extent. Int. J. Num. Anal. Meth. Geomech. 10. (1986) 2, 125–136.
Takeda T., Sozen M.A., Nielsen N.N.: Reinforced concrete response to simulated earthquakes. ASCE J. 96 (1970) ST12, 2557–2573.
Tani S., Nomura S. et al.: Earthquake response of reinforced concrete structures considering the discontinuous failure process to collapse. 5th WCEE, Rome (I) 1973. Proc. 1, 1379–1388.
Tani S., Nomura S. et al.: Response of reinforced concrete structures by ‘skeleton curve’ and ‘normalized characteristic loop’ to ground motions. Proc. 2, 2136–2139.
Umemura H., Takizawa H.: Dynamic response of reinforced concrete buildings. IABSE Struct. Eng. Doc. 2, Zurich 1982.
Vermeer P.A., De Borst R.: Non-associated plasticity for soils, concrete and rock. Heron 29 (1984) 3.
Wanninger R.: Zur Lösung von Grundbauaufgaben mit Hilfe von elastoplastischen Stoffgesetzen, vorgeführt am Einzelfundament un an der verankerten Wand. Diss., Mittlg. Versuchsanst. f. Bodenmech. u. — Grundbau Heft 23, TH Darmstadt Aug. 1980.
Yoshikawa H., Tanabe T.: An analytical model for frictional shear slip of cracked concrete. IABSE Coll. “Computational Mechanics of Reinforced Concrete”, Delft (NL) 1987. Work. Comm. Rep. 54, 75–86.
Yuritzinn T., Panet M., Guenot A.: Analysis of tunnels in strain softening grounds. 4th ICONMIG, Edmonton (CA) 1982. Proc. [Eisenstein] 2, 635–644.
Ziegler H.: A modification of Prager’s hardening rule. Quarterly of Appl. Math. 17 (1959), 55–65.
Zienkiewics O.C., Valliapan S., King I.P.: Elasto-plastic solutions of engineering problems — ‘initial stress’ finite element approach. Int. J. Num. Meth. Eng. 1 (1969), 75–100.
Zienkiewicz O.C., Nayak G.C., Owen D.R.J.: Composite and ‘overlay’ models in numerical analysis of elasto-plastic continua. Int. Symp. “Foundations of Plasticity”, Warcawa (PL) 1972. Proc. [Sawczuk; Noordhoff, Leyden 1973 ], 107–123.
Zienkiewicz O.C., Humpheson C., Lewis R.W.: Associated and non-associated visco-plasticity and plasticity in soil mechanics. Géotechnique 25 (1975) 4, 671–689.
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Hohberg, JM. (1988). Konstitutive Beziehungen für Trennflächen. In: Trennflächenformulierungen für die statische und dynamische Berechnung von Bogenstaumauern. Institut für Baustatik und Konstruktion, vol 163. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5251-7_7
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