id:"swepub:oai:lup.lub.lu.se:843c3875-0284-42bc-b84b-aa0a10dcc140"
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- Harrysson, MagnusLund University,Lunds universitet,Hållfasthetslära,Institutionen för byggvetenskaper,Institutioner vid LTH,Lunds Tekniska Högskola,Solid Mechanics,Department of Construction Sciences,Departments at LTH,Faculty of Engineering, LTH (author)
Spatial representation of evolving anisotropy at large strains
- Article/chapterEnglish2007
Publisher, publication year, extent ...
- Elsevier BV,2007
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- LIBRIS-ID:oai:lup.lub.lu.se:843c3875-0284-42bc-b84b-aa0a10dcc140
- https://lup.lub.lu.se/record/664561URI
- https://doi.org/10.1016/j.ijsolstr.2006.10.002DOI
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- Language:English
- Summary in:English
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Notes
- A phenomenological model for evolving anisotropy at large strains is presented. The model is formulated using spatial quantities and the anisotropic properties of the material is modeled by including structural variables. Evolution of anisotropy is accounted for by introducing substructural deformation gradients which are linear maps similar to the usual deformation gradient. The evolution of the substructural deformation gradients is governed by the substructural plastic velocity gradients in a manner similar to that for the continuum. Certain topics related to the numerical implementation are discussed and a simple integration scheme for the local constitutive equations is developed. To demonstrate the capabilities of the model it is implemented into a finite element code. Two numerical examples are considered: deformation of uniform plate with circular hole and the drawing of a cup. In the two examples it is assumed that initial cubic material symmetry applies to both the elastic and plastic behavior. To be specific, a polyconvex Helmholtz free energy function together with a yield function of quadratic type is adopted.
Subject headings and genre
- TEKNIK OCH TEKNOLOGIER Maskinteknik hsv//swe
- ENGINEERING AND TECHNOLOGY Mechanical Engineering hsv//eng
- finite strains
- anisotropy
- spatial form
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- Harrysson, AndersLund University,Lunds universitet,Hållfasthetslära,Institutionen för byggvetenskaper,Institutioner vid LTH,Lunds Tekniska Högskola,Solid Mechanics,Department of Construction Sciences,Departments at LTH,Faculty of Engineering, LTH(Swepub:lu)soli-aha (author)
- Ristinmaa, MattiLund University,Lunds universitet,Hållfasthetslära,Institutionen för byggvetenskaper,Institutioner vid LTH,Lunds Tekniska Högskola,Solid Mechanics,Department of Construction Sciences,Departments at LTH,Faculty of Engineering, LTH(Swepub:lu)hall-mri (author)
- HållfasthetsläraInstitutionen för byggvetenskaper (creator_code:org_t)
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- In:International Journal of Solids and Structures: Elsevier BV44:10, s. 3514-35320020-7683
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