Search results for: PANTOGRAPHIC SHEETS - MOST Wiedzy

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Search results for: PANTOGRAPHIC SHEETS

Search results for: PANTOGRAPHIC SHEETS

  • Linear Pantographic Sheets: Existence and Uniqueness of Weak Solutions

    Publication

    - JOURNAL OF ELASTICITY - 2018

    we address the well-posedness of the planar linearized equilibrium problem for homogenized pantographic lattices. To do so: (i) we introduce a class of subsets of anisotropic Sobolev’s space as the most suitable energy space E relative to assigned boundary conditions; (ii) we prove that the considered strain energy density is coercive and positive definite in E ; (iii) we prove that the set of placements for which the strain...

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  • On existence and uniqueness of weak solutions for linear pantographic beam lattices models

    Publication

    - CONTINUUM MECHANICS AND THERMODYNAMICS - 2019

    In this paper, we discuss well-posedness of the boundary-value problems arising in some “gradientincomplete” strain-gradient elasticity models, which appear in the study of homogenized models for a large class ofmetamaterials whosemicrostructures can be regarded as beam lattices constrained with internal pivots. We use the attribute “gradient-incomplete” strain-gradient elasticity for a model in which the considered strain energy...

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  • A Note on Reduced Strain Gradient Elasticity

    Publication

    - 2018

    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.

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  • Pantographic metamaterials: an example of mathematically driven design and of its technological challenges

    Publication
    • F. Dell'Isola
    • P. Seppecher
    • J. Alibert
    • T. Lekszycki
    • G. Roman
    • M. Pawlikowski
    • D. Steigmann
    • I. Giorgio
    • U. Andreaus
    • E. Turco... and 24 others

    - CONTINUUM MECHANICS AND THERMODYNAMICS - 2018

    In this paper, we account for the research efforts that have been started, for some among us, already since 2003, and aimed to the design of a class of exotic architectured, optimized (meta) materials. At the first stage of these efforts, as it often happens, the research was based on the results of mathematical investigations. The problem to be solved was stated as follows: determine the material (micro)structure governed by those...

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