TY - JOUR
T1 - Smeared concept as a general methodology in finite element modeling of physical fields and mechanical problems in composite media
AU - Kojic, M.
N1 - Funding Information:
The author acknowledges support from collaborators from the Bioengineering Research and Development Center BioIRC (particularly Dr. M. Milosevic, and also V. Simic and B. Milicevic), and from Houston Methodist Research Institute (Dr. M. Ferrari and Dr. A. Ziemys and others).
Funding Information:
Acknowledgements This paper is supported by the SILICOFCM project that has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement No. 777204. This research was also funded by Ministry of Education, Science and Technological Develoipment of Serbia, grants OI 174028, III 41007 and III 45019. It was supported by the Houston Methodist Research Institute and the City of Kragujevac, Serbia.
Publisher Copyright:
© 2019 Journal of the Serbian Society for Computational Mechanics.
Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.
PY - 2018
Y1 - 2018
N2 - A generalization of the smeared concept for field problems, published in recent papers of the author and his collaborators, is presented in the paper. A composite smeared finite element CSFE is formulated. This generalization can serve as a theoretical background for further applications. A selected numerical example, related to convective-diffusive mass transport within a cancerous tissue, illustrates efficiency and accuracy of the smeared models. Further, a smeared methodology is extended to mechanical problems. A theoretical background is given in detail, with introducing a composite smeared finite element for mechanics CSFEM, which can further be tested and modified. Finally, a consistent derivation is presented for the continuum constitutive tensor corresponding to a fibrous structure.
AB - A generalization of the smeared concept for field problems, published in recent papers of the author and his collaborators, is presented in the paper. A composite smeared finite element CSFE is formulated. This generalization can serve as a theoretical background for further applications. A selected numerical example, related to convective-diffusive mass transport within a cancerous tissue, illustrates efficiency and accuracy of the smeared models. Further, a smeared methodology is extended to mechanical problems. A theoretical background is given in detail, with introducing a composite smeared finite element for mechanics CSFEM, which can further be tested and modified. Finally, a consistent derivation is presented for the continuum constitutive tensor corresponding to a fibrous structure.
KW - Field problems
KW - Mechanical problems
KW - Smeared finite element methodology
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U2 - 10.24874/jsscm.2018.12.02.01
DO - 10.24874/jsscm.2018.12.02.01
M3 - Article
AN - SCOPUS:85059949803
SN - 1820-6530
VL - 12
SP - 1
EP - 16
JO - Journal of the Serbian Society for Computational Mechanics
JF - Journal of the Serbian Society for Computational Mechanics
IS - 2
ER -