Abstract
In elastoplastic problems, integrating the constitutive equations decides the final state of stress and the related plastic variables. Integration based on exponential-mapping strategy is a new and promising method to fulfill the task and has not been implemented for the problems of damage mechanics yet. For the first time, here, the exponential-mapping technique is developed for the elastoplastic finite element analyses of structures combined with Lemaitre damage model. Subsequently, the associated stress-updating algorithm is presented to clearly show the process of finding stress and its pertinent variables during a nonlinear finite element analysis with the derived method. Afterwards, an extensive range of numerical tests is carried out to evaluate the performance of the suggested formulae including verification, precision, convergence rate, and efficiency investigations. Consequently, the outcomes demonstrate a high level of performance by the new algorithm to solve the fundamental elastoplastic equations and update the stress in nonlinear finite element analyses.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.