Elliptic functions and lattice sums for effective properties of heterogeneous materials
Sign Up to like & getrecommendations! Published in 2021 at "Continuum Mechanics and Thermodynamics"
DOI: 10.1007/s00161-021-00997-2
Abstract: Effective properties of fiber-reinforced composites can be estimated by applying the asymptotic homogenization method. Analytical solutions are possible for infinite long circular fibers based on the elliptic quasi-periodic Weierstrass Zeta function. This process leads to… read more here.
Keywords: functions lattice; properties heterogeneous; elliptic functions; sums effective ... See more keywords
Analytical results for the Green's functions of lattice fermions
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DOI: 10.1103/physrevb.96.155103
Abstract: We present a further development of methods for analytical calculations of Green's functions of lattice fermions based on recurrence relations. Applying it to tight-binding systems and topological superconductors in different dimensions, we obtain a number… read more here.
Keywords: functions lattice; results green; green functions; analytical results ... See more keywords
Various Response Functions in Lattice Domes Reliability Via Analytical Integration and Finite Element Method
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Applied Mechanics and Engineering"
DOI: 10.2478/ijame-2018-0026
Abstract: Abstract The main aim of this work is to verify an influence of the response function type in direct symbolic derivation of the probabilistic moments and coefficients of the structural state variables of axisymmetric spherical… read more here.
Keywords: functions lattice; response; lattice domes; response functions ... See more keywords