219 citations · 1.6k across the 35 of their papers we have counts for
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cond-mat.mtrl-sci2015★ 31 cited
Lattice Model with Nearest-Neighbor and Next-Nearest-Neighbor Interactions for Gradient Elasticity
Vasily E. Tarasov
Lattice models for the second-order strain-gradient models of elasticity theory are discussed. To combine the advantageous properties of two classes of second-gradient models, we s…
cond-mat.mtrl-sci2015★ 33 cited
Elasticity of Fractal Material by Continuum Model with Non-Integer Dimensional Space
Vasily E. Tarasov
Using a generalization of vector calculus for space with non-integer dimension, we consider elastic properties of fractal materials. Fractal materials are described by continuum mo…
cond-mat.mtrl-sci2015★ 46 cited
Lattice Model of Fractional Gradient and Integral Elasticity: Long-Range Interaction of Grunwald-Letnikov-Riesz Type
Vasily E. Tarasov
Lattice model with long-range interaction of power-law type that is connected with difference of non-integer order is suggested. The continuous limit maps the equations of motion o…