Generalised self consistent homogenisation as an inverse problem
Identifieur interne : 000170 ( Main/Exploration ); précédent : 000169; suivant : 000171Generalised self consistent homogenisation as an inverse problem
Auteurs : D. P. Boso [Italie] ; M. Lefik [Pologne] ; B. A. Schrefler [Italie]Source :
- ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik [ 0044-2267 ] ; 2010-10-19.
English descriptors
- Teeft :
- Algorithm, Algorithm step, Angew, Anns, Appl, Axial, Axial symmetry, Behaviour, Boso, Bronze matrix, Comments description, Composite materials, Correct approximation, Direct problem, Effective behaviour, Effective material, Effective material behaviour, Effective material parameters, Effective medium, Effective parameters, Elastic moduli, Elastic part, Exact value, External loading increment, Finite element method, Generalised, Generalised self, Gmbh, Gscl, Gscl method, Gscl scheme, Heterogeneous problem, High temperature, Homogenisation, Homogenised material, Ieee trans, Increment, Initial material, Initial materials, Inner cylinders, Input patterns, Inverse, Inverse problem, Inverse problems, Inverse relation, Inverse relations, Inverse relationship, Kgaa, Lament breakage, Material characteristics, Material parameters, Matrix, Matrix material, Mech, Methods appl, Minimization problem, Modulus, Monotonic increment, Nb3sn bronze, Neural, Neural network, Neural networks, Node, Numerical procedure, Online, Online colour, Other words, Output error, Output layer, Output signal, Parameter, Propagation algorithm, Quality measure, Radial displacement, Real case, Reference temperatures, Same notation, Several hours, Sorption hysteresis, Subset, Superconducting, Superconducting strand, Superconducting strands, Thermal expansion, Trial value, Trial values, Usual disadvantage, Verlag, Verlag gmbh, Weinheim, Weinheim zamm, Young modulus, Zamm.
Abstract
Usually in the framework of the self consistent scheme, the homogenised material behaviour is obtained with a symbolic approach. This paper presents a different, fully numerical procedure. We solve a coupled thermo‐mechanical problem for non‐linear composites with brittle long fibres and properties depending on temperature, by using our development of the generalized self‐consistent method. The considered homogenisation scheme is presented as an inverse problem and Artificial Neural Networks are used to solve it. The problem is formulated for n‐layered isotropic elastic‐brittle cylindrical inclusions surrounded by an elasto‐plastic matrix. The influence of possible yielding of the matrix and breakage of the fibres on the effective behaviour of the composite is considered. The method is finally applied to the real case of superconducting strands used for the coils of the future ITER experimental reactor.
Usually in the framework of the self consistent scheme, the homogenised material behaviour is obtained with a symbolic approach. This paper presents a different, fully numerical procedure. The authors solve a coupled thermo‐mechanical problem for non linear composites with brittle long fibres and properties depending on temperature, by using our development of the generalized self‐consistent method. The considered homogenisation scheme is presented as an inverse problem and Artificial Neural Networks are used to solve it. The problem is formulated for n‐layered isotropic elastic‐brittle cylindrical inclusions surrounded by an elasto‐plastic matrix. …
Url:
DOI: 10.1002/zamm.201000023
Affiliations:
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This paper presents a different, fully numerical procedure. We solve a coupled thermo‐mechanical problem for non‐linear composites with brittle long fibres and properties depending on temperature, by using our development of the generalized self‐consistent method. The considered homogenisation scheme is presented as an inverse problem and Artificial Neural Networks are used to solve it. The problem is formulated for n‐layered isotropic elastic‐brittle cylindrical inclusions surrounded by an elasto‐plastic matrix. The influence of possible yielding of the matrix and breakage of the fibres on the effective behaviour of the composite is considered. The method is finally applied to the real case of superconducting strands used for the coils of the future ITER experimental reactor.</div><div type="abstract" xml:lang="en">Usually in the framework of the self consistent scheme, the homogenised material behaviour is obtained with a symbolic approach. This paper presents a different, fully numerical procedure. The authors solve a coupled thermo‐mechanical problem for non linear composites with brittle long fibres and properties depending on temperature, by using our development of the generalized self‐consistent method. The considered homogenisation scheme is presented as an inverse problem and Artificial Neural Networks are used to solve it. The problem is formulated for n‐layered isotropic elastic‐brittle cylindrical inclusions surrounded by an elasto‐plastic matrix. …</div></front></TEI><affiliations><list><country><li>Italie</li><li>Pologne</li></country></list><tree><country name="Italie"><noRegion><name sortKey="Boso, D P" sort="Boso, D P" uniqKey="Boso D" first="D. P." last="Boso">D. P. Boso</name></noRegion><name sortKey="Boso, D P" sort="Boso, D P" uniqKey="Boso D" first="D. P." last="Boso">D. P. Boso</name><name sortKey="Boso, D P" sort="Boso, D P" uniqKey="Boso D" first="D. P." last="Boso">D. P. Boso</name><name sortKey="Schrefler, B A" sort="Schrefler, B A" uniqKey="Schrefler B" first="B. A." last="Schrefler">B. A. Schrefler</name><name sortKey="Schrefler, B A" sort="Schrefler, B A" uniqKey="Schrefler B" first="B. A." last="Schrefler">B. A. Schrefler</name><name sortKey="Schrefler, B A" sort="Schrefler, B A" uniqKey="Schrefler B" first="B. A." last="Schrefler">B. A. Schrefler</name></country><country name="Pologne"><noRegion><name sortKey="Lefik, M" sort="Lefik, M" uniqKey="Lefik M" first="M." last="Lefik">M. Lefik</name></noRegion><name sortKey="Lefik, M" sort="Lefik, M" uniqKey="Lefik M" first="M." last="Lefik">M. Lefik</name><name sortKey="Lefik, M" sort="Lefik, M" uniqKey="Lefik M" first="M." last="Lefik">M. Lefik</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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