Jansen van Rensburg, Gerhardus J2018-01-252018-01-252016-09Jansen van Rensburg, G.J. 2016. Development and implementation of state variable based user materials in computational plasticity. University of Pretoria, Pretoria, South Africahttps://repository.up.ac.za/handle/2263/57483http://hdl.handle.net/10204/9985Thesis submitted in partial fulfillment of the requirements for the degree Philosophiae Doctor (Mechanical Engineering) in the Faculty of Engineering, the Built Environment and Information Technology, University of Pretoria, Pretoria, South AfricaThe Finite Element Method is a powerful tool that can be used to test, improve or better understand an industrially relevant problem. There are numerous Finite Element Analysis (FEA) software packages that operate either in the commercial, open source or research space. Different application specific codes also have specialised model formulations. Most software packages have a comprehensive list of material models already implemented. If a different material model is required, some form of user material can often be implemented and linked to the software package. In some cases the effective implementation and testing of a user implemented material requires knowledge on the effect and handling of strain formulations, element technologies and the desired material behaviour. With sophisticated material models available in the research space, this thesis focuses on the identification and implementation of existing computational plasticity models for use within FEA. The effect of different strain formulation choices is first illustrated and discussed using different sample problems. Three different FEA software packages are also compared before discussion and implementation of a general numerical framework for corotated hypo-elastoplasticity in isotropic and combined hardening. The numerical framework allows expansion to include different, more sophisticated hardening behaviour by simply altering the scalar equation used to update the von Mises yield surface. The Mechanical Threshold Stress (MTS) material model is implemented within the hypo-elastoplastic numerical framework. Material parameter identification is investigated using linear regression on data followed by numerical optimisation. The MTS model is a rate and temperature dependent state variable based material model. The model is tuned to fit imperfect cemented carbide data in compression, where material test frame compliance or some eccentricity caused inhomogeneous deformation through the test section of the specimen. The characterised model is then used on a sample problem to investigate the plastic deformation in the cemented carbide anvils during the High Pressure, High Temperature (HPHT) synthesis of diamond. Further extensions, built on the dislocation density based modelling theory of the MTS model, are investigated by selecting an alternate form of the state dependent variable. A dislocation density ratio is used instead of the original stress like variable in the MTS model. The evolution of this internal state variable is altered, along with additional state dependent variables, to include additional deformation and thermal mechanisms. The model extensions in the case of rate and temperature dependent cyclic deformation as well as multiple waves of recrystallisation are discussed and implemented. The recrystallisation and through thickness microstructural variation of a High Strength, Low Alloy (HSLA) steel are finally investigated during the process of industrial hot rolling or roughing simulations.enFinite Element AnalysisUser MaterialsComputational PlasticityRecrystallisationMechanical Threshold StressDislocation DensityBased ModellingInternal State Variable Material ModelsMean-Field RecrystallisationReportJansen van Rensburg, G. J. (2016). <i>Development and implementation of state variable based user materials in computational plasticity</i> (Worklist;19918). University of Pretoria. Retrieved from http://hdl.handle.net/10204/9985Jansen van Rensburg, Gerhardus J <i>Development and implementation of state variable based user materials in computational plasticity.</i> Worklist;19918. University of Pretoria, 2016. http://hdl.handle.net/10204/9985Jansen van Rensburg GJ. Development and implementation of state variable based user materials in computational plasticity. 2016 [cited yyyy month dd]. Available from: http://hdl.handle.net/10204/9985TY - Report AU - Jansen van Rensburg, Gerhardus J AB - The Finite Element Method is a powerful tool that can be used to test, improve or better understand an industrially relevant problem. There are numerous Finite Element Analysis (FEA) software packages that operate either in the commercial, open source or research space. Different application specific codes also have specialised model formulations. Most software packages have a comprehensive list of material models already implemented. If a different material model is required, some form of user material can often be implemented and linked to the software package. In some cases the effective implementation and testing of a user implemented material requires knowledge on the effect and handling of strain formulations, element technologies and the desired material behaviour. With sophisticated material models available in the research space, this thesis focuses on the identification and implementation of existing computational plasticity models for use within FEA. The effect of different strain formulation choices is first illustrated and discussed using different sample problems. Three different FEA software packages are also compared before discussion and implementation of a general numerical framework for corotated hypo-elastoplasticity in isotropic and combined hardening. The numerical framework allows expansion to include different, more sophisticated hardening behaviour by simply altering the scalar equation used to update the von Mises yield surface. The Mechanical Threshold Stress (MTS) material model is implemented within the hypo-elastoplastic numerical framework. Material parameter identification is investigated using linear regression on data followed by numerical optimisation. The MTS model is a rate and temperature dependent state variable based material model. The model is tuned to fit imperfect cemented carbide data in compression, where material test frame compliance or some eccentricity caused inhomogeneous deformation through the test section of the specimen. The characterised model is then used on a sample problem to investigate the plastic deformation in the cemented carbide anvils during the High Pressure, High Temperature (HPHT) synthesis of diamond. Further extensions, built on the dislocation density based modelling theory of the MTS model, are investigated by selecting an alternate form of the state dependent variable. A dislocation density ratio is used instead of the original stress like variable in the MTS model. The evolution of this internal state variable is altered, along with additional state dependent variables, to include additional deformation and thermal mechanisms. The model extensions in the case of rate and temperature dependent cyclic deformation as well as multiple waves of recrystallisation are discussed and implemented. The recrystallisation and through thickness microstructural variation of a High Strength, Low Alloy (HSLA) steel are finally investigated during the process of industrial hot rolling or roughing simulations. DA - 2016-09 DB - ResearchSpace DP - CSIR KW - Finite Element Analysis KW - User Materials KW - Computational Plasticity KW - Recrystallisation KW - Mechanical Threshold Stress KW - Dislocation Density KW - Based Modelling KW - Internal State Variable Material Models KW - Mean-Field Recrystallisation LK - https://researchspace.csir.co.za PY - 2016 T1 - Development and implementation of state variable based user materials in computational plasticity TI - Development and implementation of state variable based user materials in computational plasticity UR - http://hdl.handle.net/10204/9985 ER -