Edit Profile (opens in new tab) Betten, Josef Co-Author Distance Author ID: betten.josef Published as: Betten, J.; Betten, Josef Documents Indexed: 61 Publications since 1970, including 7 Books 1 Further Contribution Co-Authors: 13 Co-Authors with 20 Joint Publications 55 Co-Co-Authors all top 5 Co-Authors 34 single-authored 5 Helisch, W. 3 Brocks, Wolfgang 2 Borrmann, M. 2 Drawshi, Muhamad 2 Spencer, Anthony James Merrill 2 Troost, A. 2 Waniewski, M. 2 Zolochevsky, A. A. 1 Boehler, Jean-Paul 1 Breitbach, G. 1 Butters, T. 1 Sklepus, A. 1 Sklepus, S. N. 1 Steglich, Dirk all top 5 Serials 13 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 6 Archive of Applied Mechanics 4 Rheologica Acta 3 Ingenieur-Archiv 3 International Journal of Plasticity 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Acta Mechanica 2 Mechanics Research Communications 2 Zeitschrift für Naturforschung. A. Physik, Physikalische Chemie, Kosmophysik 1 International Journal of Solids and Structures 1 Journal of Rheology 1 International Journal of Mathematics and Mathematical Sciences 1 International Journal for Numerical Methods in Engineering 1 Mathematical Modelling 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling 1 European Journal of Mechanics. A. Solids 1 Journal de Mécanique Théorique et Appliquée 1 Applied Mechanics and Engineering 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 CISM International Centre for Mechanical Sciences. Courses and Lectures 1 Leitfäden der Angewandten Mathematik und Mechanik (LAMM) 1 Springer-Lehrbuch all top 5 Fields 57 Mechanics of deformable solids (74-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 7 Differential geometry (53-XX) 4 Mechanics of particles and systems (70-XX) 3 Approximations and expansions (41-XX) 3 Numerical analysis (65-XX) 2 General and overarching topics; collections (00-XX) 2 Fluid mechanics (76-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 182 times in 116 Documents Cited by ▼ Year ▼ Applications of tensor functions in solid mechanics. Zbl 0657.73001 73 1987 Net-stress analysis in creep mechanics. Zbl 0502.73036 Betten, J. 27 1982 Damage tensors in continuum mechanics. Zbl 0538.73004 Betten, J. 17 1983 Applications of tensor functions to the formulation of yield criteria for anisotropic materials. Zbl 0629.73021 Betten, Josef 12 1988 Creep theory of anisotropic solids. Zbl 0467.73043 Betten, Josef 11 1981 Tensorrechnung für Ingenieure. Zbl 0625.15019 Betten, Josef 11 1987 Elastizitäts- und Plastizitätslehre. Mit über 200 Übungsaufgaben und vollständig ausgearbeiteten Lösungen. Zbl 0551.73009 Betten, Josef 11 1985 Irreducible invariants of fourth-order tensors. Zbl 0634.73006 Betten, Josef 9 1987 On internal dissipation inequalities and finite strain inelastic constitutive laws: theoretical and numerical comparisons. Zbl 1136.74312 Lin, R. C.; Brocks, W.; Betten, J. 9 2006 Integrity basis for a second-order and a fourth-order tensor. Zbl 0493.53011 Betten, Josef 8 1982 Interpolation methods for tensor functions. Zbl 0546.41004 Betten, J. 6 1984 Zur Verallgemeinerung der Invariantentheorie in der Kriechmechanik. Zbl 0318.73028 Betten, J. 5 1975 On the tensor function representations of 2nd-order and 4th-order tensors. I. Zbl 0832.73003 Zheng, Q.-S.; Betten, J. 5 1995 On the convexity of yield bodies of isotropic and anisotropic media. Zbl 0436.73040 Betten, J. 3 1979 Simultaneous invariants for systems of tensors of orders two and four. (Simultaninvarianten bei Systemen zwei- und vierstufiger Tensoren.) Zbl 0859.15020 Betten, J.; Helisch, W. 3 1995 Multiaxial anisotropic creep behaviour of rolled sheet-metals. Zbl 0735.73035 Betten, J.; Breitbach, G.; Waniewski, M. 3 1990 Generalization of nonlinear material laws found in experiments to multi- axial states of stress. Zbl 0693.73001 Betten, J. 3 1989 On the mean rotation tensors. Zbl 0944.74512 Zheng, Q.-S.; Hwang, K. C.; Betten, J. 3 1994 Integrity bases for a fourth-rank tensor. Zbl 0866.15016 Betten, J.; Helisch, W. 3 1995 Zur Aufstellung von Stoffgleichungen in der Kriechmechanik anisotroper Körper. Zbl 0466.73031 Betten, J. 2 1981 Ein Beitrag zur Invariantentheorie in der Plastomechanik anisotroper Werkstoffe. Zbl 0347.73028 Betten, J. 2 1976 Zur Frage der Konvexität von Fließbedingungen bei plastischer Inkompressibilität und Kompressibilität. Zbl 0353.73033 Troost, A.; Betten, J. 2 1974 Zur Modifikation des Spannungsdeviators. Zbl 0365.73031 Betten, J. 2 1977 Tensor generators for systems of tensors of orders two and four. (Tensorgeneratoren bei Systemen von Tensoren zweiter und vierter Stufe.) Zbl 0872.15022 Betten, J.; Helisch, W. 2 1996 The formulation of constitutive equations for fibre-reinforced composites in plane problems. II. Zbl 0819.73047 Zheng, Q.-S.; Betten, J. 2 1995 Materialgleichungen zur Beschreibung des sekundären und tertiären Kriechverhaltens anisotroper Stoffe. Zbl 0547.73001 Betten, J. 2 1984 Einfluß der plastischen Kompressibilität und des Strength- Differential-Effektes auf das Fließverhalten von Sinter- und Polymerwerkstoffen. (Influence of plastic compressibility and strength differential effects on the yield behaviour of sintered materials and polymers). Zbl 0557.76006 Betten, J.; Borrmann, M. 2 1984 Irreduzible Invarianten eines Tensors vierter Stufe. (Irreducible invariants of a tensor of rank four). Zbl 0762.15014 Betten, J.; Helisch, W. 2 1992 The formulation of constitutive equations for fibre-reinforced composites in plane problems. I. Zbl 0804.73037 Zheng, Q.-S.; Betten, J.; Spencer, A. J. M. 2 1992 Performing RVE calculations under constant stress triaxiality for monotonous and cyclic loading. Zbl 1110.74817 Lin, R. C.; Steglich, D.; Brocks, W.; Betten, J. 2 2006 Elastizitäts- und Plastizitätstensor 4-ter Stufe. Zbl 0318.73001 Betten, J. 1 1975 Zum Traglastverfahren bei nichtlinearem Stoffgesetz. Zbl 0318.73027 Betten, J. 1 1975 Elementare Tensorrechnung für Ingenieure. Zbl 0358.15032 Betten, Josef 1 1977 Plastische Stoffgleichungen inkompressibler anisotroper Werkstoffe. Zbl 0371.73017 Betten, J. 1 1977 Continuum mechanics. Elastic and inelastic behaviour of isotropic and anisotropic materials. 2., erweit. Aufl. (Kontinuumsmechanik. Elastisches und inelastisches Verhalten isotroper und anisotroper Stoffe.) Zbl 0990.74001 Betten, Josef 1 2001 Beitrag zur tensoriellen Verallgemeinerung einachsiger Stoffgesetze. (Tensorial generalization of uni-axial constitutive laws). Zbl 0617.73001 Betten, J. 1 1986 Recent advances in mathematical modelling of materials behavior. Zbl 0723.73043 Betten, Josef 1 1990 Continuum mechanics. Elasto-, plasto-, and creep mechanics. With more than 220 exercises with completely worked out solutions. (Kontinuumsmechanik. Elasto-, Plasto- und Kriechmechanik. Mit über 220 Übungsaufgaben und vollständig ausgearbeiteten Lösungen.) Zbl 0787.73002 Betten, Josef 1 1993 Theory of invariants in creep mechanics of anisotropic materials. Zbl 0526.73016 Betten, J. 1 1982 Modeling of finite strain viscoplasticity based on the logarithmic corotational description. Zbl 1168.74323 Lin, R. C.; Betten, J.; Brocks, W. 1 2006 A constitutive theory for creep behavior of initially isotropic materials sustaining unilateral damage. Zbl 1038.74618 Betten, J.; Sklepus, A.; Zolochevsky, A. 1 2003 On internal dissipation inequalities and finite strain inelastic constitutive laws: theoretical and numerical comparisons. Zbl 1136.74312 Lin, R. C.; Brocks, W.; Betten, J. 9 2006 Performing RVE calculations under constant stress triaxiality for monotonous and cyclic loading. Zbl 1110.74817 Lin, R. C.; Steglich, D.; Brocks, W.; Betten, J. 2 2006 Modeling of finite strain viscoplasticity based on the logarithmic corotational description. Zbl 1168.74323 Lin, R. C.; Betten, J.; Brocks, W. 1 2006 A constitutive theory for creep behavior of initially isotropic materials sustaining unilateral damage. Zbl 1038.74618 Betten, J.; Sklepus, A.; Zolochevsky, A. 1 2003 Continuum mechanics. Elastic and inelastic behaviour of isotropic and anisotropic materials. 2., erweit. Aufl. (Kontinuumsmechanik. Elastisches und inelastisches Verhalten isotroper und anisotroper Stoffe.) Zbl 0990.74001 Betten, Josef 1 2001 Tensor generators for systems of tensors of orders two and four. (Tensorgeneratoren bei Systemen von Tensoren zweiter und vierter Stufe.) Zbl 0872.15022 Betten, J.; Helisch, W. 2 1996 On the tensor function representations of 2nd-order and 4th-order tensors. I. Zbl 0832.73003 Zheng, Q.-S.; Betten, J. 5 1995 Simultaneous invariants for systems of tensors of orders two and four. (Simultaninvarianten bei Systemen zwei- und vierstufiger Tensoren.) Zbl 0859.15020 Betten, J.; Helisch, W. 3 1995 Integrity bases for a fourth-rank tensor. Zbl 0866.15016 Betten, J.; Helisch, W. 3 1995 The formulation of constitutive equations for fibre-reinforced composites in plane problems. II. Zbl 0819.73047 Zheng, Q.-S.; Betten, J. 2 1995 On the mean rotation tensors. Zbl 0944.74512 Zheng, Q.-S.; Hwang, K. C.; Betten, J. 3 1994 Continuum mechanics. Elasto-, plasto-, and creep mechanics. With more than 220 exercises with completely worked out solutions. (Kontinuumsmechanik. Elasto-, Plasto- und Kriechmechanik. Mit über 220 Übungsaufgaben und vollständig ausgearbeiteten Lösungen.) Zbl 0787.73002 Betten, Josef 1 1993 Irreduzible Invarianten eines Tensors vierter Stufe. (Irreducible invariants of a tensor of rank four). Zbl 0762.15014 Betten, J.; Helisch, W. 2 1992 The formulation of constitutive equations for fibre-reinforced composites in plane problems. I. Zbl 0804.73037 Zheng, Q.-S.; Betten, J.; Spencer, A. J. M. 2 1992 Multiaxial anisotropic creep behaviour of rolled sheet-metals. Zbl 0735.73035 Betten, J.; Breitbach, G.; Waniewski, M. 3 1990 Recent advances in mathematical modelling of materials behavior. Zbl 0723.73043 Betten, Josef 1 1990 Generalization of nonlinear material laws found in experiments to multi- axial states of stress. Zbl 0693.73001 Betten, J. 3 1989 Applications of tensor functions to the formulation of yield criteria for anisotropic materials. Zbl 0629.73021 Betten, Josef 12 1988 Applications of tensor functions in solid mechanics. Zbl 0657.73001 73 1987 Tensorrechnung für Ingenieure. Zbl 0625.15019 Betten, Josef 11 1987 Irreducible invariants of fourth-order tensors. Zbl 0634.73006 Betten, Josef 9 1987 Beitrag zur tensoriellen Verallgemeinerung einachsiger Stoffgesetze. (Tensorial generalization of uni-axial constitutive laws). Zbl 0617.73001 Betten, J. 1 1986 Elastizitäts- und Plastizitätslehre. Mit über 200 Übungsaufgaben und vollständig ausgearbeiteten Lösungen. Zbl 0551.73009 Betten, Josef 11 1985 Interpolation methods for tensor functions. Zbl 0546.41004 Betten, J. 6 1984 Materialgleichungen zur Beschreibung des sekundären und tertiären Kriechverhaltens anisotroper Stoffe. Zbl 0547.73001 Betten, J. 2 1984 Einfluß der plastischen Kompressibilität und des Strength- Differential-Effektes auf das Fließverhalten von Sinter- und Polymerwerkstoffen. (Influence of plastic compressibility and strength differential effects on the yield behaviour of sintered materials and polymers). Zbl 0557.76006 Betten, J.; Borrmann, M. 2 1984 Damage tensors in continuum mechanics. Zbl 0538.73004 Betten, J. 17 1983 Net-stress analysis in creep mechanics. Zbl 0502.73036 Betten, J. 27 1982 Integrity basis for a second-order and a fourth-order tensor. Zbl 0493.53011 Betten, Josef 8 1982 Theory of invariants in creep mechanics of anisotropic materials. Zbl 0526.73016 Betten, J. 1 1982 Creep theory of anisotropic solids. Zbl 0467.73043 Betten, Josef 11 1981 Zur Aufstellung von Stoffgleichungen in der Kriechmechanik anisotroper Körper. Zbl 0466.73031 Betten, J. 2 1981 On the convexity of yield bodies of isotropic and anisotropic media. Zbl 0436.73040 Betten, J. 3 1979 Zur Modifikation des Spannungsdeviators. Zbl 0365.73031 Betten, J. 2 1977 Elementare Tensorrechnung für Ingenieure. Zbl 0358.15032 Betten, Josef 1 1977 Plastische Stoffgleichungen inkompressibler anisotroper Werkstoffe. Zbl 0371.73017 Betten, J. 1 1977 Ein Beitrag zur Invariantentheorie in der Plastomechanik anisotroper Werkstoffe. Zbl 0347.73028 Betten, J. 2 1976 Zur Verallgemeinerung der Invariantentheorie in der Kriechmechanik. Zbl 0318.73028 Betten, J. 5 1975 Elastizitäts- und Plastizitätstensor 4-ter Stufe. Zbl 0318.73001 Betten, J. 1 1975 Zum Traglastverfahren bei nichtlinearem Stoffgesetz. Zbl 0318.73027 Betten, J. 1 1975 Zur Frage der Konvexität von Fließbedingungen bei plastischer Inkompressibilität und Kompressibilität. Zbl 0353.73033 Troost, A.; Betten, J. 2 1974 all cited Publications top 5 cited Publications all top 5 Cited by 188 Authors 16 Betten, Josef 7 Altenbach, Holm 5 Kolev, Boris 4 Olive, Marc 4 Oller, Sergio 4 Voyiadjis, George Z. 3 Bruhns, Otto Timme 3 Desmorat, Boris 3 Desmorat, Rodrigue 3 Helisch, W. 3 Mahnken, Rolf 3 Oñate Ibáñez de Navarra, Eugenio 3 Waniewski, M. 2 Auffray, Nicolas 2 Bertram, Albrecht 2 Böhlke, Thomas 2 Borrmann, M. 2 Brocks, Wolfgang 2 Brünig, Michael 2 Car, Eduardo 2 Carol, Ignacio 2 Fernández-Sáez, José 2 Fish, Jacob 2 Ganczarski, Artur Władysław 2 Gorash, Yevgen 2 Kattan, Peter I. 2 Lokoshchenko, Aleksandr Mikhaĭlovich 2 Naumenko, Konstantin 2 Skrzypek, Jacek Jan 2 Steinmann, Paul 2 Vadillo, Guadalupe 2 Vallee, Claude 2 Zheng, Quanshui 2 Zolochevsky, A. A. 1 Agababyan, Vardan Samvelovich 1 Albano, Alberto 1 Altenbach, Johannes 1 Basalov, Yuriĭ Genrikhovich 1 Becker, Adib A. 1 Bernhardi, Otto-Ernst 1 Beskos, Dimitri E. 1 Bischoff-Beiermann, Burkhard 1 Blajer, Wojciech 1 Boehler, Jean-Paul 1 Bouby, Céline 1 Breitbach, G. 1 Browning, John 1 Buschmann, A. 1 Butters, T. 1 Cervera, Miguel 1 Chen, Mingxiang 1 Chen, Xingfu 1 Cherkaev, Andrej V. 1 Chisari, Corrado 1 Corradi, Leone 1 Dascalu, Cristian 1 Davoli, Elisa 1 de Saxcé, Géry 1 Deliktas, Babur 1 Desai, Chandra S. 1 Ding, Weiyang 1 Dippel, Benedikt 1 Dyck, Alexander 1 England, Roland 1 Fang, Huiyu 1 Fomin, Leonid Viktorovich 1 Forte, Sandra 1 Fortune, Danielle 1 François, Bertrand 1 Frik, M. 1 Fu, Qiushi 1 Gerstmayr, Johannes 1 Golovanov, A. I. 1 Guo, Yuhao 1 Guzina, Bojan B. 1 Hajibeygi, Hadi 1 Haller, George 1 Hasanpour, Kourosh 1 Hauger, Werner 1 Healy, David 1 Heidari, Mahdi 1 Höwer, Daniel 1 Huang, Junjie 1 Hyde, T. H. 1 Indelicato, Giuliana 1 Irschik, Hans 1 Itskov, Mikhail 1 Izzuddin, Bassam A. 1 James, Kai A. 1 Jiao, Yang 1 Johlitz, Michael 1 Jonas, John J. 1 Kainz, Alexander J. 1 Karrech, Ali 1 Keita, Oumar 1 Kolupaev, Vladimir A. 1 Kossa, Attila 1 Kostenko, J. 1 Krawietz, Arnold 1 Krejčí, Pavel ...and 88 more Authors all top 5 Cited in 29 Serials 18 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 15 Computer Methods in Applied Mechanics and Engineering 11 Acta Mechanica 11 International Journal of Engineering Science 8 Archive of Applied Mechanics 5 Journal of Elasticity 5 European Journal of Mechanics. A. Solids 4 Ingenieur-Archiv 4 International Journal of Plasticity 4 Journal of the Mechanics and Physics of Solids 4 International Journal for Numerical Methods in Engineering 3 International Journal of Solids and Structures 3 Rheologica Acta 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Applied Mathematics and Mechanics. (English Edition) 2 Continuum Mechanics and Thermodynamics 2 Mathematics and Mechanics of Solids 1 Archive for Rational Mechanics and Analysis 1 Journal of Computational Physics 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 Applications of Mathematics 1 Russian Mathematics 1 Communications in Numerical Methods in Engineering 1 Multibody System Dynamics 1 Journal of Applied Mechanics and Technical Physics 1 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 14 Fields 110 Mechanics of deformable solids (74-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 4 Mechanics of particles and systems (70-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Differential geometry (53-XX) 3 Numerical analysis (65-XX) 2 Fluid mechanics (76-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) Citations by Year