Consequences of Dynamic Yield Surface in Viscoplasticity
(2000) In International Journal of Solids and Structures 37(33). p.4601-4622- Abstract
- A theory of viscoplasticity is formulated within a thermodynamic concept. The key point is the postulate of a dynamic yield surface, which allows us to take advantage of the postulate of maximum dissipation to derive an associated formulation of the evolutions laws for the internal variables without using penalty techniques that only hold in the limit it when viscoplasticity degenerates to inviscid plasticity. Even a non-associated formulation is presented. Within this general formulation, a particular format of the dynamic yield function enables us to derive the static yield function in a consistent manner. Hardening, perfect and softening viscoplasticity is also defined in a consistent manner. The approach even includes associated and... (More)
- A theory of viscoplasticity is formulated within a thermodynamic concept. The key point is the postulate of a dynamic yield surface, which allows us to take advantage of the postulate of maximum dissipation to derive an associated formulation of the evolutions laws for the internal variables without using penalty techniques that only hold in the limit it when viscoplasticity degenerates to inviscid plasticity. Even a non-associated formulation is presented. Within this general formulation, a particular format of the dynamic yield function enables us to derive the static yield function in a consistent manner. Hardening, perfect and softening viscoplasticity is also defined in a consistent manner. The approach even includes associated and non-associated viscoplasticity where corners exist on the yield and potential surfaces. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1370053
- author
- Ristinmaa, Matti
LU
and Ottosen, Niels Saabye LU
- organization
- publishing date
- 2000
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Flow-rule, Creep, Viscoplasticity, Thermodynamic of solids
- in
- International Journal of Solids and Structures
- volume
- 37
- issue
- 33
- pages
- 4601 - 4622
- publisher
- Elsevier
- external identifiers
-
- scopus:0034041787
- ISSN
- 0020-7683
- DOI
- 10.1016/S0020-7683(99)00158-4
- language
- English
- LU publication?
- yes
- id
- a98a34e2-3b0b-480c-9e1e-948e7210838d (old id 1370053)
- date added to LUP
- 2016-04-04 13:34:49
- date last changed
- 2022-04-16 06:23:02
@article{a98a34e2-3b0b-480c-9e1e-948e7210838d, abstract = {{A theory of viscoplasticity is formulated within a thermodynamic concept. The key point is the postulate of a dynamic yield surface, which allows us to take advantage of the postulate of maximum dissipation to derive an associated formulation of the evolutions laws for the internal variables without using penalty techniques that only hold in the limit it when viscoplasticity degenerates to inviscid plasticity. Even a non-associated formulation is presented. Within this general formulation, a particular format of the dynamic yield function enables us to derive the static yield function in a consistent manner. Hardening, perfect and softening viscoplasticity is also defined in a consistent manner. The approach even includes associated and non-associated viscoplasticity where corners exist on the yield and potential surfaces.}}, author = {{Ristinmaa, Matti and Ottosen, Niels Saabye}}, issn = {{0020-7683}}, keywords = {{Flow-rule; Creep; Viscoplasticity; Thermodynamic of solids}}, language = {{eng}}, number = {{33}}, pages = {{4601--4622}}, publisher = {{Elsevier}}, series = {{International Journal of Solids and Structures}}, title = {{Consequences of Dynamic Yield Surface in Viscoplasticity}}, url = {{http://dx.doi.org/10.1016/S0020-7683(99)00158-4}}, doi = {{10.1016/S0020-7683(99)00158-4}}, volume = {{37}}, year = {{2000}}, }