Zobrazeno 1 - 10
of 379
pro vyhledávání: '"Maugin, Gérard A."'
Autor:
Maugin, Gérard A.
Publikováno v:
Journal of the Mechanical Behavior of Materials, Vol 11, Iss 1-3, Pp 129-140 (2000)
Externí odkaz:
https://doaj.org/article/3079c9a8f8604d16b2f2516d9fd51c10
Autor:
Lazar, Markus, Maugin, Gerard A.
Publikováno v:
Philosophical Magazine 87, 3853-3870 (2007)
We investigate linear theories of incompatible micromorphic elasticity, incompatible microstretch elasticity, incompatible micropolar elasticity and the incompatible dilatation theory of elasticity (elasticity with voids). The incompatibility conditi
Externí odkaz:
http://arxiv.org/abs/1511.02701
Publikováno v:
IMA Journal of Applied Mathematics, Oxford University Press (OUP): Policy A - Oxford Open Option A, 2014, SOURCE IMA Journal of Applied Mathematics, 79 (5), pp.753 - 777
We demonstrate that the fractional Laplacian (FL) is the principal characteristic operator of harmonic systems with {\it self-similar} interparticle interactions. We show that the FL represents the "{\it fractional continuum limit}" of a discrete "se
Externí odkaz:
http://arxiv.org/abs/1501.01942
Autor:
Michelitsch, Thomas, Maugin, Gérard, Nowakowski, Andrzej F., Nicolleau, Franck C. G. A., Rahman, Mujibur
We analyze a quasi-continuous linear chain with self-similar distribution of harmonic interparticle springs as recently introduced for one dimension (Michelitsch et al., Phys. Rev. E 80, 011135 (2009)). We define a continuum limit for one dimension a
Externí odkaz:
http://arxiv.org/abs/1207.7132
Autor:
Michelitsch, Thomas, Maugin, Gérard, Derogar, Shahram, Nowakowski, Andrzeij, Franck, Nicolleau
The goal of this communication is to propose a generalized notion of the "traditional derivative". This generalization includes the fractional derivatives such as the Riemann-Liouville, Gruenwald-Letnikov, Weyl, Riesz, Caputo, Marchaud derivatives an
Externí odkaz:
http://arxiv.org/abs/1111.1898
Autor:
Michelitsch, Thomas, Maugin, Gérard A., Mujibur, Rahman, Derogar, Shahram, Nowakowski, Andrzej F., Nicolleau, Franck C. G. A
This paper is devoted to the analysis of some fundamental problems of linear elasticity in 1D continua with self-similar interparticle interactions. We introduce a self-similar continuous field approach where the self-similarity is reflected by equat
Externí odkaz:
http://arxiv.org/abs/1105.5322
Autor:
Michelitsch, Thomas M., Maugin, Gérard A., Nicolleau, Franck C. G. A., Nowakowski, Andrzej F., Derogar, Shahram
Many systems in nature have arborescent and bifurcated structures such as trees, fern, snails, lungs, the blood vessel system, etc. and look self-similar over a wide range of scales. Which are the mechanical and dynamic properties that evolution has
Externí odkaz:
http://arxiv.org/abs/0910.0728
Publikováno v:
International journal of engineering science 47, 2 (2009) 209-220
We deduce the dynamic frequency-domain-lattice Green's function of a linear chain with properties (masses and next-neighbor spring constants) of exponential spatial dependence. We analyze the system as discrete chain as well as the continuous limitin
Externí odkaz:
http://arxiv.org/abs/0904.1564
Autor:
Michelitsch, Thomas M., Maugin, Gérard A., Nicolleau, Franck C. G. A, Nowakowski, Andrzej. F., Derogar, Shahram
Publikováno v:
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 80 (2009) 011135
We construct self-similar functions and linear operators to deduce a self-similar variant of the Laplacian operator and of the D'Alembertian wave operator. The exigence of self-similarity as a symmetry property requires the introduction of non-local
Externí odkaz:
http://arxiv.org/abs/0904.0780