Isogeometric analysis for nonlinear planar pantographic lattice: discrete and continuum models
نویسندگان
چکیده
منابع مشابه
Planar Parametrization in Isogeometric Analysis
Before isogeometric analysis can be applied to solving a partial differential equation posed over some physical domain, one needs to construct a valid parametrization of the geometry. The accuracy of the analysis is affected by the quality of the parametrization. The challenge of computing and maintaining a valid geometry parametrization is particularly relevant in applications of isogemetric a...
متن کاملHomogenization à la Piola produces second gradient continuum models for linear pantographic lattices
HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau...
متن کاملAnalysis of Lattice and Continuum Models of Bioactive Porous Media
In the context of tissue engineering, we recently proposed a lattice model for a bioactive porous tissue scaffold [A. L. Krause, D. Beliaev, R. A. Van Gorder, and S. L. Waters, Lattice and Continuum Modelling of a Bioactive Porous Tissue Scaffold, arXiv:1702.07711 [q-bio], (2017)]. This model considered the scaffold as a lattice of pores, with coupling between local cell growth in the pores, an...
متن کاملExtended scaling relations for planar lattice models
It is widely believed that the critical properties of several planar lattice models, like the Eight Vertex or the Ashkin-Teller models, are well described by an effective Quantum Field Theory obtained as formal scaling limit. On the basis of this assumption several extended scaling relations among their indices were conjectured. We prove the validity of some of them, among which the ones by Kad...
متن کاملIsogeometric Analysis Applied to Nonlinear Elastodynamics
A numerical investigation is carried out in this work in order to evaluate the computational performance of a numerical model based on isogeometric analysis for applications on geometrically nonlinear elastodynamics. In the FEM (finite element method) practice, it is well known that the Newmark’s method is unconditionally stable for linear structural systems, but this characteristic is frequent...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Continuum Mechanics and Thermodynamics
سال: 2018
ISSN: 0935-1175,1432-0959
DOI: 10.1007/s00161-018-0641-y