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14 papers · 1 filter
Wave-number lock-in in buckled elastic structures: an analogue to parametric instabilities
Helen E. Read, Giada Risso, Adel Djellouli +2
Parametric instabilities are a known feature of periodically driven dynamic systems; at particular frequencies and amplitudes of the driving modulation, the system's quasi-periodic…
Adjoint-based optimization of two-dimensional Stefan problems
Tomas Fullana, Vincent Le Chenadec, Taraneh Sayadi
A range of optimization cases of two-dimensional Stefan problems, solved using a tracking-type cost-functional, is presented. A level set method is used to capture the interface be…
Explicit Harmonic Structure Of Bidimensional Linear Strain-Gradient Elasticity
Nicolas Auffray, Houssam Andoul-Anziz, Boris Desmorat
In the perspective of homogenization theory, strain-gradient elasticity is a strategy to describe the overall behaviour of materials with coarse mesostructure. In this approach, th…
Harmonic factorization and reconstruction of the elasticity tensor
Marc Olive, Boris Kolev, Boris Desmorat +1
In this paper, we propose a factorization of a fourth-order harmonic tensor into second-order tensors. We obtain moreover explicit equivariant reconstruction formulas, using second…
A fractional generalization of the classical lattice dynamics approach
T. M. Michelitsch, B. A. Collet, A. P. Riascos +2
We develop physically admissible lattice models in the harmonic approximation which define by Hamilton's variational principle fractional Laplacian matrices of the forms of power l…
Fractional Lattice Dynamics: Nonlocal constitutive behavior generated by power law matrix functions and their fractional continuum limit kernels
Thomas Michelitsch, Bernard Collet, Alejandro Riascos +2
We introduce positive elastic potentials in the harmonic approximation leading by Hamilton's variational principle to fractional Laplacian matrices having the forms of power law ma…