Computational Strain Gradient Crystal Plasticity

Christian Frithiof Niordson, Jeffrey W. Kysar

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


A model for strain gradient crystal visco-plasticity is formulated along the lines proposed by Fleck andWillis (2009) for isotropic plasticity. Size-effects are included in the model due to the addition of gradient terms in both the free energy as well as through a dissipation potential. A finite element solution method is presented, which delivers the slip-rate field and the velocity-field based on two minimum principles. Some plane deformation problems relevant for certain specific orientations of a face centered cubic crystal under plane loading conditions are studied, and effective in-plane parameters are developed based on the crystallographic properties of the material. The problem of cyclic shear of a single crystal between rigid platens is studied as well as void growth of a cylindrical void.
Original languageEnglish
Title of host publicationProceedings of the 17th International Symposium on Plasticity & Its Current Applications
PublisherNEAT Press
Publication date2011
ISBN (Print)0-9659463-1-2
Publication statusPublished - 2011
EventInternational Symposium on Plasticity & Its Current Applications - Puerto Vallarta, Mexico
Duration: 1 Jan 2011 → …
Conference number: 17


ConferenceInternational Symposium on Plasticity & Its Current Applications
CityPuerto Vallarta, Mexico
Period01/01/2011 → …


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