Mahnken, R., Stein, E., Wetjen, D., &; Heemann, U. (1987). Theoretische und numerische Aspekte der Berechnung thermo-mechanischer Kriechvorgänge im Steinsalz. In Abhandlungen der Braunschweigischen Wissenschaftlichen Gesellschaft (Vol. 39, pp. 61–121). Erich Goltzke KG.

Mahnken, R., Del Linz, S., &; Stein, E. (2000). Non-linear mixed isotropic-kinematic hardening coupled with damage in the framework of finite deformation elasto-plasticity. ECCOMAS 2000, Barcelona.

Mahnken, R. (2002). Strength difference in compression and tension and pressure dependence of yielding in elasto-plasticity. Computer Methods in Applied Mechanics and Engineering, 190(39), 5057–5080.https://doi.org/10.1016/s0045-7825(00)00364-9 

Mahnken, R., &; Steinmann, P. (2002). A finite element algorithm for parameter identification of material models for fluid saturated porous media. International Journal for Numerical and Analytical Methods in Geomechanics, 25(5), 415–434.https://doi.org/10.1002/nag.136 

Mahnken, R., &; Kohlmeier, M. (2002). Finite element simulation for rock salt with dilatancy boundary coupled to fluid permeation. Computer Methods in Applied Mechanics and Engineering, 190(32–33), 4259–4278.https://doi.org/10.1016/s0045-7825(00)00317-0 

Mahnken, R., Tikhomirov, D., &; Stein, E. (2002). Implicit integration scheme and its consistent linearization for an elastoplastic-damage model with application to concrete. Computers &;amp; Structures, 75(2), 135–143.https://doi.org/10.1016/s0045-7949(99)00089-9 

Mahnken, R. (2002). Improved implementation of an algorithm for non-linear isotropic/kinematic hardening in elastoplasticity. Communications in Numerical Methods in Engineering, 15(10), 745–754.https://doi.org/10.1002/(sici)1099-0887(199910)15:10&#60;745::aid-cnm288&#62;3.0.co;2-r 

Döbert, C., Mahnken, R., &; Stein, E. (2002). Numerical simulation of interface debonding with a combined damage/friction constitutive model. Computational Mechanics, 25(5), 456–467.https://doi.org/10.1007/s004660050493 

Mahnken, R. (2002). A comprehensive study of a multiplicative elastoplasticity model coupled to damage including parameter identification. Computers &;amp; Structures, 74(2), 179–200.https://doi.org/10.1016/s0045-7949(98)00296-x 

Mahnken, R., &; Kuhl, E. (2002). Parameter identification of gradient enhanced damage models with the finite element method. European Journal of Mechanics - A/Solids, 18(5), 819–835.https://doi.org/10.1016/s0997-7538(99)00127-8 

Mahnken, R., Johansson, M., &; Runesson, K. (2002). Parameter estimation for a viscoplastic damage model using a gradientbased optimization algorithm. Engineering Computations, 15(7), 925–955.https://doi.org/10.1108/02644409810236920 

Mahnken, R., &; Stein, E. (2002). A unified approach for parameter identification of inelastic material models in the frame of the finite element method. Computer Methods in Applied Mechanics and Engineering, 136(3–4), 225–258.https://doi.org/10.1016/0045-7825(96)00991-7 

Mahnken, R., &; Stein, E. (2002). The identification of parameters for visco-plastic models via finite-element methods and gradient methods. Modelling and Simulation in Materials Science and Engineering, 2(3A), 597–616.https://doi.org/10.1088/0965-0393/2/3a/013 

Johansson, M., Mahnken, R., &; Runesson, K. (2002). Efficient integration technique for generalized viscoplasticity coupled to damage. International Journal for Numerical Methods in Engineering, 44(11), 1727–1747.https://doi.org/10.1002/(sici)1097-0207(19990420)44:11&#60;1727::aid-nme568&#62;3.0.co;2-p 

Mahnken, R., &; Stein, E. (2002). Parameter identification for viscoplastic models based on analytical derivatives of a least-squares functional and stability investigations. International Journal of Plasticity, 12(4), 451–479.https://doi.org/10.1016/s0749-6419(95)00016-x 

Mahnken, R., &; Stein, E. (2002). Parameter identification for finite deformation elasto-plasticity in principal directions. Computer Methods in Applied Mechanics and Engineering, 147(1–2), 17–39.https://doi.org/10.1016/s0045-7825(97)00008-x 

Mahnken, R. (2002). Aspects on the finite-element implementation of the Gurson model including parameter identification. International Journal of Plasticity, 15(11), 1111–1137.https://doi.org/10.1016/s0749-6419(99)00029-7 

Mahnken, R. (2003). Creep simulation of asymmetric effects by use of stress mode dependent weighting functions. International Journal of Solids and Structures, 6189–6209.https://doi.org/10.1016/s0020-7683(03)00388-3 

Stein, E., Zhang, G., Huang, Y., Mahnken, R., &; Wiechmann, K. (2003). Theoretical and Computational Shakedown Analysis of Non-Linear Kinematic Hardening Material and Transition to Ductile Fracture. In Plasticity of Metals. Wiley-VCH Verlag GmbH.https://doi.org/10.1002/3527600116.ch11 

Mahnken, R., &; Stein, E. (2003). Parameter Identification for Inelastic Constitutive Equations Based on Uniform and Non-Uniform Stress and Strain Distributions. In Plasticity of Metals. Wiley-VCH Verlag GmbH.https://doi.org/10.1002/3527600116.ch12 

Mahnken, R. (2004). Void growth in finite deformation elasto-plasticity due to hydrostatic stress states. Computer Methods in Applied Mechanics and Engineering, 3689–3709.https://doi.org/10.1016/j.cma.2003.09.032 

Mahnken, R. (2004). Stress mode dependent weighting functions for simulation of asymmetric creep effects. PAMM, 225–226.https://doi.org/10.1002/pamm.200410094 

Mahnken, R. (2005). Anisotropy in geometrically non-linear elasticity with generalized Seth-Hill strain tensors projected to invariant subspaces. Communications in Numerical Methods in Engineering, 405–418.https://doi.org/10.1002/cnm.752 

Mahnken, R., &; Schlimmer, M. (2005). Simulation of strength difference in elasto-plasticity for adhesive materials. International Journal for Numerical Methods in Engineering, 1461–1477.https://doi.org/10.1002/nme.1315 

Mahnken, R. (2005). Simulation of strength difference for adhesive materials in finite deformation elasto-plasticity. Computer Methods in Applied Mechanics and Engineering, 4097–4114.https://doi.org/10.1016/j.cma.2004.10.006 

Mahnken, R. (2005). Creep simulation of asymmetric effects at large strains by stress mode decomposition. Computer Methods in Applied Mechanics and Engineering, 4221–4243.https://doi.org/10.1016/j.cma.2004.11.003 

Gockel, F.-B., &; Mahnken, R. (2005). Experimental and Numerical Investigations for Cyclic Thermal Shocks. PAMM, 501–502.https://doi.org/10.1002/pamm.200510227 

Mahnken, R. (2005). Identification of Material Parameters for Constitutive Equations. Encyclopedia of Computational Mechanics.https://doi.org/10.1002/0470091355.ecm043 

Mahnken, R., &; Steinmann, P. (2005). A Unified Sensitivity Analysis Approach for Parameter Identification of Material Models in Fluid-saturated Porous Media. In Solid Mechanics and Its Applications. Kluwer Academic Publishers.https://doi.org/10.1007/0-306-46953-7_7 

Mahnken, R. (2005). An inverse finite-element algorithm for parameter identification of thermoelastic damage models. International Journal for Numerical Methods in Engineering, 48(7), 1015–1036.https://doi.org/10.1002/(sici)1097-0207(20000710)48:7&#60;1015::aid-nme912&#62;3.0.co;2-4 

Mahnken, R., Stein, E., &; Bischoff, D. (2005). A stabilization procedure by line-search computation for first order approximation strategies in structural optimization. International Journal for Numerical Methods in Engineering, 35(5), 1015–1029.https://doi.org/10.1002/nme.1620350505 

Mahnken, R., &; Stein, E. (2005). Adaptive time-step control in creep analysis. International Journal for Numerical Methods in Engineering, 28(7), 1619–1633.https://doi.org/10.1002/nme.1620280711 

Mahnken, R., &; Caylak, I. (2007). Stabilization of bilinear mixed finite elements for tetrahedra with enhanced interpolation using volume and area bubble functions. International Journal for Numerical Methods in Engineering, 377–413.https://doi.org/10.1002/nme.2264 

Mahnken, R., Caylak, I., &; Laschet, G. (2007). Two mixed finite element formulations with area bubble functions for tetrahedral elements. Computer Methods in Applied Mechanics and Engineering, 1147–1165.https://doi.org/10.1016/j.cma.2007.10.007 

Mahnken, R., &; Wilmanns, S. (2007). Simulation of asymmetric effects for shape memory alloys using the concept of stress mode dependent weighting functions. Materials Science and Engineering: A, 376–378.https://doi.org/10.1016/j.msea.2007.04.128 

Shaban, A., Mahnken, R., Wilke, L., Potente, H., &; Ridder, H. (2007). Simulation of rate dependent plasticity for polymers with asymmetric effects. International Journal of Solids and Structures, 6148–6162.https://doi.org/10.1016/j.ijsolstr.2007.02.017 

Mahnken, R., &; Wilmanns, S. (2007). Simulation of asymmetric effects for shape memory alloys by decomposition of transformation strains. Computational Materials Science, 295–305.https://doi.org/10.1016/j.commatsci.2007.07.042 

Gockel, F.-B., &; Mahnken, R. (2007). Material Simulation and Damage Analysis at Thermal Shock Conditions. PAMM, 165–166.https://doi.org/10.1002/pamm.200610063 

Shaban, A., &; Mahnken, R. (2007). Simulation of Rate Dependent Plasticity of Polymers. PAMM, 409–410.https://doi.org/10.1002/pamm.200610185 

Mahnken, R. (2007). Simulation of Asymmetric Effects in Plasticity. PAMM, 395–396.https://doi.org/10.1002/pamm.200610178 

Mahnken, R. (2008). Finite Deformation Elasto-Plasticity for Simulation of Strength Difference in Adhesive Materials with an Algorithm in Principal Directions. Mechanics of Advanced Materials and Structures, 514–527.https://doi.org/10.1080/15376490802142718 

Sauerland, K.-H., Gockel, F.-B., Mahnken, R., &; Ferber, F. (2008). Damage analysis under thermal shock loading using eddy current sensors. Nondestructive Testing and Evaluation, 3–18.https://doi.org/10.1080/10589750802195451 

Mahnken, R., Shaban, A., Potente, H., &; Wilke, L. (2008). Thermoviscoplastic modelling of asymmetric effects for polymers at large strains. International Journal of Solids and Structures, 4615–4628.https://doi.org/10.1016/j.ijsolstr.2008.03.033 

Mahnken, R., Schneidt, A., &; Antretter, T. (2008). Macro modelling and homogenization for transformation induced plasticity of a low-alloy steel. International Journal of Plasticity, 183–204.https://doi.org/10.1016/j.ijplas.2008.03.005 

Koke, I., Müller, W. H., Ferber, F., Mahnken, R., &; Funke, H. (2008). Measuring mechanical parameters in glass fiber-reinforced composites: Standard evaluation techniques enhanced by photogrammetry. Composites Science and Technology, 68(Issue 5), 1156–1164.

Potente, H., Wilke, L., Ridder, H., Mahnken, R., &; Shaban, A. (2008). Simulation of the residual stresses in the contour laser welding of thermoplastics. Polymer Engineering &; Science, 767–773.https://doi.org/10.1002/pen.20999 

Mahnken, R. (2008). Material forces for crack analysis of functionally graded materials in adaptively refined FE-meshes. International Journal of Fracture, 269–283.https://doi.org/10.1007/s10704-008-9175-9 

Ferber, F., Gockel, F.-B., Hampel, T., Pawlak, T., &; Mahnken, R. (2008). Homogeneous Administration of Experiments in Material Science for Configuration, Monitoring and Analysis. In Experimental Analysis of Nano and Engineering Materials and Structures.https://doi.org/10.1007/978-1-4020-6239-1_226 

Mahnken, R. (2008). Geometry update driven by material forces for simulation of brittle crack growth in functionally graded materials. International Journal for Numerical Methods in Engineering, 1753–1788.https://doi.org/10.1002/nme.2468 

Caylak, I., &; Mahnken, R. (2008). On the stabilization of tetrahedral finite elements using volume and area bubble functions. PAMM, 4040013–4040014.https://doi.org/10.1002/pamm.200700224 

Schneidt, A., &; Mahnken, R. (2008). Experimentelle Untersuchungen zum Thermoschock beim Hybridumformprozess. PAMM, 4030013–4030014.https://doi.org/10.1002/pamm.200700074 

Wilmanns, S., &; Mahnken, R. (2008). Simulation of asymmetric effects for shape memory alloys. PAMM, 4060037–4060038.https://doi.org/10.1002/pamm.200700591 

Mahnken, R. (2008). A Newton-Multigrid algrithm for elasto-plastic/viscoplastic problems. Computational Mechanics, 15(5), 408–425.https://doi.org/10.1007/bf00350355 

Mahnken, R. (2009). On Crack Analysis of Functionally Graded Materials with Material Forces. In IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics.https://doi.org/10.1007/978-90-481-3447-2_6 

Sauerland, K.-H., &; Mahnken, R. (2009). Deformation analysis for thermal shock using optical sensors and constitutive modelling. Nondestructive Testing and Evaluation, 353–374.https://doi.org/10.1080/10589750802588002 

Mahnken, R. (2009). Mode Decomposition for Creep Simulation of Asymmetric Effects with Applications to Superalloys. Key Engineering Materials, 357–362.https://doi.org/10.4028/www.scientific.net/kem.251-252.357 

Mahnken, R., Sauerland, K.-H., Schneidt, A., &; Gockel, F.-B. (2009). Deformation and Damage Analysis of a Hybrid-Forming Tool under Thermal Shock Conditions. PAMM, 10237–10238.https://doi.org/10.1002/pamm.200810237 

Schneidt, A., &; Mahnken, R. (2009). Modellierung der Umwandlungsplastizität und Viskoplastizität niedrig legierter Stähle. PAMM, 10461–10462.https://doi.org/10.1002/pamm.200810461 

Shaban, A., &; Mahnken, R. (2009). Asymmetric effects of polymers in finite thermoviscoplasticity. PAMM, 10465–10466.https://doi.org/10.1002/pamm.200810465 

Mahnken, R. (2009). Simulation of brittle crack growth in functionally graded materials. PAMM, 10305–10306.https://doi.org/10.1002/pamm.200810305 

Mahnken, R., &; Schneidt, A. (2009). A thermodynamics framework and numerical aspects for transformation-induced plasticity at large strains. Archive of Applied Mechanics, 229–253.https://doi.org/10.1007/s00419-009-0308-z 

Koke, I., Müller, W. H., Ferber, F., &; Mahnken, R. (2009). Photogrammetric Methods Used for Measuring Elastic Constants in Hand-Laminated Fiber-Plastics-Composites. Proceedings Composites 2009, 2nd ECCOMAS Thematic Conference on the Mechanical Response of Composites, 01.-03.04.2009, 1–8.

Koke, I., Müller, W. H., Ferber, F., &; Mahnken, R. (2009). Photogrammetric Methods Used for Measuring Elastic Constants in Hand-Laminated Fiber-Plastics-Composites. Proceedings Composites 2009, 2nd ECCOMAS Thematic Conference on the Mechanical Response of Composites, 01.-03.04.2009, 1–8.

Bonefeld, D., Schöppner, V., Potente, H., Mahnken, R., &; Shaban, A. (2010). Residual stresses in the quasi-simultaneous laser transmission welding of amorphous thermoplastics. Polymer Engineering &; Science, 1520–1526.https://doi.org/10.1002/pen.21685 

Caylak, I., &; Mahnken, R. (2010). Thermomechanical characterisation of cold box sand including optical measurements. International Journal of Cast Metals Research, 176–184.https://doi.org/10.1179/174313309x451261 

Parvizian, F., Schneidt, A., Svendsen, B., &; Mahnken, R. (2010). Thermo-mechanically coupled modeling and simulation of hot metal-forming processes using adaptive remeshing method. GAMM-Mitteilungen, 95–115.https://doi.org/10.1002/gamm.201010008 

Sauerland, K.-H., Schneidt, A., &; Mahnken, R. (2010). Simulation of a Hybrid-Forming Process using Temperature- and Rate-Dependent Viscoplastic Material Models. PAMM, 711–712.https://doi.org/10.1002/pamm.200910324 

Widany, K.-U., Caylak, I., &; Mahnken, R. (2010). Stabilized Mixed Tetrahedrals with Volume and Area Bubble Functions at Large Deformations. PAMM, 227–228.https://doi.org/10.1002/pamm.201010106 

Wilmanns, S., &; Mahnken, R. (2010). FEM Simulation of a Micromechanical Model for Textured Polycrystalline Shape Memory Alloys with n-Variants. PAMM, 343–344.https://doi.org/10.1002/pamm.201010164 

Schneidt, A., &; Mahnken, R. (2010). Modeling of bainitic phase transformation. PAMM, 323–324.https://doi.org/10.1002/pamm.201010154 

Caylak, I. (2011). Stabilized Mixed Triangular and Tetrahedral Finite Elements with Volume and Area Bubble Functions (Vol. Band 4). Shaker.

Wolff, M., Böhm, M., Mahnken, R., &; Suhr, B. (2011). Implementation of an algorithm for general material behavior of steel taking interaction between plasticity and transformation-induced plasticity into account. International Journal for Numerical Methods in Engineering, 1183–1206.https://doi.org/10.1002/nme.3154 

Mahnken, R., &; Wilmanns, S. (2011). A projected Newton algorithm for simulation of multi-variant textured polycrystalline shape memory alloys. Computational Materials Science, 2535–2548.https://doi.org/10.1016/j.commatsci.2011.03.010 

Loboda, V., &; Mahnken, R. (2011). An investigation of an electrode at the interface of a piezoelectric bimaterial space under remote electromechanical loading. Acta Mechanica, 327–339.https://doi.org/10.1007/s00707-011-0519-6 

Mahnken, R. (2011). Simulation of strength difference coupled to softening in elasto-plasticity for adhesive materials. International Journal of Adhesion and Adhesives, 1–14.https://doi.org/10.1016/j.ijadhadh.2011.08.006 

Mahnken, R., Schneidt, A., Tschumak, S., &; Maier, H. J. (2011). On the simulation of austenite to bainite phase transformation. Computational Materials Science, 1823–1829.https://doi.org/10.1016/j.commatsci.2010.12.032 

Caylak, I., &; Mahnken, R. (2011). Mixed finite element formulations with volume bubble functions for triangular elements. Computers &; Structures, 1844–1851.https://doi.org/10.1016/j.compstruc.2011.07.004 

Sauerland, K.-H., &; Mahnken, R. (2011). Meso-Macro Modelling of Coated Forming Tools under Thermal Shock Conditions. PAMM, 551–552.https://doi.org/10.1002/pamm.201110265 

Widany, K.-U., &; Mahnken, R. (2011). An error indicator for parameter identification with stabilized mixed tetrahedrals. PAMM, 299–300.https://doi.org/10.1002/pamm.201110141 

Mahnken, R. (2011). Lehrbuch der Technischen Mechanik - Statik.https://doi.org/10.1007/978-3-642-21711-1 

Caylak, I., Mahnken, R., &; Widany, K.-U. (2011). Stabilized mixed triangular finite elements at large deformations using area bubble functions. PAMM, 201–202.https://doi.org/10.1002/pamm.201110092 

Mahnken, R., &; Caylak, I. (2011). Optical Measurements for a Cold-Box Sand and Aspects of Direct and Inverse Problems for Micropolar Elasto-Plasticity. In Advances in Extended and Multifield Theories for Continua.https://doi.org/10.1007/978-3-642-22738-7_9 

Caylak, I., &; Mahnken, R. (2011). Stabilization of mixed tetrahedral elements at large deformations. International Journal for Numerical Methods in Engineering, 218–242.https://doi.org/10.1002/nme.3320 

Mahnken, R. (2011). Lehrbuch der Technischen Mechanik - Dynamik.https://doi.org/10.1007/978-3-642-19838-0 

Mahnken, R., &; Steinmann, P. (2011). Parameter Identification of Constitutive Models for Fluidsaturated Porous Media within an FE-Setting. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik, 80(), 161–164.https://doi.org/10.1002/zamm.20000801341 

Döbert, C., Mahnken, R., &; Stein, E. (2011). Numerical Simulation of Interface Debonding during Fibre Pull-Out Tests. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik, 80(), 467–468.https://doi.org/10.1002/zamm.200008014105 

Mahnken, R. (2011). Improvements for finite-element implementation of the Gurson Model. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik, 80(), 481–482.https://doi.org/10.1002/zamm.200008014112 

Widany, K.-U., &; Mahnken, R. (2012). Adaptivity for parameter identification of incompressible hyperelastic materials using stabilized tetrahedral elements. Computer Methods in Applied Mechanics and Engineering, 117–131.https://doi.org/10.1016/j.cma.2012.06.017 

Mahnken, R., Wolff, M., Schneidt, A., &; Böhm, M. (2012). Multi-phase transformations at large strains – Thermodynamic framework and simulation. International Journal of Plasticity, 1–26.https://doi.org/10.1016/j.ijplas.2012.05.009 

Nörenberg, N., &; Mahnken, R. (2012). A stochastic model for parameter identification of adhesive materials. Archive of Applied Mechanics, 367–378.https://doi.org/10.1007/s00419-012-0684-7 

Mahnken, R., &; Shaban, A. (2012). Finite elasto-viscoplastic modeling of polymers including asymmetric effects. Archive of Applied Mechanics, 53–71.https://doi.org/10.1007/s00419-012-0632-6 

Widany, K.-U., &; Mahnken, R. (2012). Adaptive FEM with Stabilized Elements for Parameter Identification of Incompressible Hyperelastic Materials. PAMM, 213–214.https://doi.org/10.1002/pamm.201210097 

Nörenberg, N., &; Mahnken, R. (2012). A stochastic model for the direct and inverse problem of adhesive materials. PAMM, 317–318.https://doi.org/10.1002/pamm.201210148 

Schneidt, A., Antretter, T., &; Mahnken, R. (2012). Micromechanical modeling of bainitic phase transformation. PAMM, 341–342.https://doi.org/10.1002/pamm.201210159 

Caylak, I., &; Mahnken, R. (2012). Modeling of induced anisotropy at large deformations for polymers. PAMM, 319–320.https://doi.org/10.1002/pamm.201210149 

Wibbeke, A., Schöeppner, V., &; Mahnken, R. (2013). Experimental Investigations on the Induced Anisotropy of Mechanical Properties in Polycarbonate Films. ISRN Materials Science, 1–8.https://doi.org/10.1155/2013/649043 

Mahnken, R. (2013). Parameter Identification in Continuum Mechanics: From Hand-Fitting to Stochastic Modelling. In The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering.https://doi.org/10.1007/978-3-642-39905-3_14 

Mahnken, R., Wolff, M., &; Cheng, C. (2013). A multi-mechanism model for cutting simulations combining visco-plastic asymmetry and phase transformation. International Journal of Solids and Structures, 3045–3066.https://doi.org/10.1016/j.ijsolstr.2013.05.008 

Mahnken, R., &; Stein, E. (2013). Finite Deformation Plasticity with Void Growth and Asymmetric Compression-Tension Behavior. In IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains.https://doi.org/10.1007/978-94-017-0297-3_14 

Mahnken, R. (2013). Thermodynamic consistent modeling of polymer curing coupled to visco–elasticity at large strains. International Journal of Solids and Structures, 2003–2021.https://doi.org/10.1016/j.ijsolstr.2013.01.033