A Note on Reduced Strain Gradient Elasticity

Victor A. Eremeyev (1) , Francesco Dell'Isola (2, 3)

1 GUT - Gdańsk University of Technology
2 M&MoCS - International Research Centre on Mathematics & Mechanics of Complex Systems
3 UNIROMA - Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome]

We discuss the particular class of strain-gradient elastic material models which we called the reduced or degenerated strain-gradient elasticity. For this class the strain energy density depends on functions which have different differential properties in different spatial directions. As an example of such media we consider the continual models of pantographic beam lattices and smectic and columnar liquid crystals.

Domaines: Physique [physics]; Mécanique [physics]

Victor A. Eremeyev, Francesco Dell'Isola. A Note on Reduced Strain Gradient Elasticity. Generalized Models and Non-classical Approaches in Complex Materials 1, pp.301-310, 2018. ⟨hal-01825523⟩