By Th. Lehmann (auth.), Dr.-Ing., Dr. rer. nat. Otto S. Brüller, Dr.-Ing. Volker Mannl, Dr.-Ing. habil. Jerzy Najar (eds.)

Recognized authors contributed to this choice of unique papers from all fields of analysis in continuum mechanics. detailed emphasis is given to time based and self sufficient everlasting deformations, harm and fracture. a part of the contributions is devoted to present efforts in describing fabric habit with reference to, e.g., anisotropy, thermal results, softening, ductile and brittle fracture, porosity and granular constitution. one other half offers with numerical features coming up from the implementation of fabric legislation within the calculations of forming approaches, soil mechanics and structural mechanics. functions of concept and numerical tools belong to the subsequent parts: comparability with experimental effects from fabric checking out, steel forming less than thermal and dynamic stipulations, failure by way of harm, fracture and localized deformation modes. the range of taken care of issues presents a survery of the particular examine in those fields; for this reason, the booklet is addressed to these drawn to unique difficulties of continuum mechanics in addition to to these attracted to a normal knowledge.

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35 Betten, Germany In the following the classical plastic potential theory is compared with the tensor function theory. It will be shown, that the former theory is compatible with the latter, if the material is isotropic, and if additional conditions are fulfiled. However, for anisotropic materials the plastic potential theory only furnishes restricted forms of constitutive equations, even if a general plastic potential has been assumed (2). Consequently, the classical normality rule (4) must be modified for anisotropic solids.

H(](I,](2,T). e. the pressure. It can only depend on the change of volume or on the change of density and on the temperature. H(](t, ](2, T). p and the total free energy then becomes if! Now we introduce the pressure in the usual way by 1 P = -3 tru . =~JIlIn P Po (19) as an independent variable for the change of volume. Therefore we can write p = p(v,T). p =- Jp(v,T)dv. (22) 29 Bednarczyk, Sansour, Germany 3, The Invariants From the identity /(1 and /(2 _ 1/3 F F=//IF -m' IIIF (23) where F is the deformation gradient and I/IF the determinant of F, we infer that F"=~ I/I1/3 (24) F describes an isochoric deformation since det F" = 1.

T. : Some Remarks on the Application of a Two-SUi'face Model in Plasticity; Acta Mech. : ZUI' Beschreibung des transienten und stationaren Verfestigungsvel'haltens von Stah I mit Hi! fe eines nichtlineal'en Grenzflachenmodells; Mitt. Inst. Mech. Nr. 57 (1988) Ruhr-Univ. , Lehmann. Th. and Pape. : On the Descl'iption of Transient Cyclic Hardening Behaviour of Mild Steel Ck 15 (submitted) [38] Raniecki. B. and Mroz. : On the Strain-Induced Anisotropy and Textul'e at Finite Strain of Rigid-Plastic Solids; (submitted) [3')] van der Giessen.

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