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==1 Title, abstract and keywords<!-- Your document should start with a concise and informative title. Titles are often used in information-retrieval systems. Avoid abbreviations and formulae where possible. Capitalize the first word of the title.
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Published in ''Int. Journal for Numerical Methods in Engineering'' Vol. 46 (10), pp. 1595-1607, 1999<br />
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doi: 10.1002/(SICI)1097-0207(19991210)46:10<1595::AID-NME715>3.0.CO;2-Z
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== Abstract ==
  
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A geometrically non‐linear formulation for composites and the resulting explicit dynamic finite element algorithm are presented. The proposed formulation assumes that small elastic and large plastic strains, being the anisotropy considered using tensors which map the model variables at each time step into an equivalent isotropic space, where the integration of the rate constitutive equations is performed. The evolution of the internal variables is calculated in the auxiliary spaces, taking into account the material non‐linear behaviour, and the results mapped back to the real stress space. The updating of the mapping tensors for each new spatial configuration allows the treatment of general anisotropic materials under large strain and can be extended to treat multiphase composite materials using the mixing theory. The behaviour of the composite is dictated by the mechanical response of each substance, and the resultant model allows a fully non‐linear analysis combining different material models, such as damage in one compounding substance, elastoplastic behaviour in the other, while a third substance behaves elastically
  
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<pdf>Media:Draft_Samper_756213730_6627_Large_strain_explicit.pdf</pdf>
 
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==2 The main text<!-- You can enter and format the text of this document by selecting the ‘Edit’ option in the menu at the top of this frame or next to the title of every section of the document. This will give access to the visual editor. Alternatively, you can edit the source of this document (Wiki markup format) by selecting the ‘Edit source’ option.
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Latest revision as of 13:40, 1 February 2019

Published in Int. Journal for Numerical Methods in Engineering Vol. 46 (10), pp. 1595-1607, 1999
doi: 10.1002/(SICI)1097-0207(19991210)46:10<1595::AID-NME715>3.0.CO;2-Z

Abstract

A geometrically non‐linear formulation for composites and the resulting explicit dynamic finite element algorithm are presented. The proposed formulation assumes that small elastic and large plastic strains, being the anisotropy considered using tensors which map the model variables at each time step into an equivalent isotropic space, where the integration of the rate constitutive equations is performed. The evolution of the internal variables is calculated in the auxiliary spaces, taking into account the material non‐linear behaviour, and the results mapped back to the real stress space. The updating of the mapping tensors for each new spatial configuration allows the treatment of general anisotropic materials under large strain and can be extended to treat multiphase composite materials using the mixing theory. The behaviour of the composite is dictated by the mechanical response of each substance, and the resultant model allows a fully non‐linear analysis combining different material models, such as damage in one compounding substance, elastoplastic behaviour in the other, while a third substance behaves elastically

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Published on 01/01/1999

DOI: 10.1002/(SICI)1097-0207(19991210)46:10<1595::AID-NME715>3.0.CO;2-Z
Licence: CC BY-NC-SA license

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