Continuum models for pantographic blocks with second gradient energies which are incomplete

Maximilian Stiltz; Francesco dell'Isola; Ivan Giorgio; Victor Eremeev; Georg Ganzmuller; Stefan Hiermaier

doi:10.1016/j.mechrescom.2022.103988

Continuum models for pantographic blocks with second gradient energies which are incomplete

Abstract

We postulate a deformation energy for describing the mechanical behavior of so called pantographic blocks, that is bodies constituted by stacking of layers of pantographic sheets. We remark that the pantographic effect is limited in the plane of pantographic sheets and therefore only the second derivatives of transverse displacements along the pantographic fibers appear in the chosen deformation energy. We use this novel energy to predict the behavior of pantographic blocks when subjected to : (i) compression and traction test, (ii) torsion, (iii) shear and (iv) bending. A linearization of the energy shows one floppy mode in addition to the rigid body motions, assuming perfect pivots, similar to pantographic sheets.

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Authors (6)

Maximilian Stiltz
Francesco dell'Isola Dr. hab. Prof.
Ivan Giorgio Dr.
Victor Eremeev prof. dr hab.
Georg Ganzmuller
Stefan Hiermaier Dr

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Category:: Articles
Type:: artykuły w czasopismach
Published in:: MECHANICS RESEARCH COMMUNICATIONS no. 125,
ISSN: 0093-6413
Language:: English
Publication year:: 2022
Bibliographic description:: Stiltz M., Dell'Isola F., Giorgio I., Eremeev V., Ganzmuller G., Hiermaier S.: Continuum models for pantographic blocks with second gradient energies which are incomplete// MECHANICS RESEARCH COMMUNICATIONS -,iss. 103988 (2022), s.1-5
DOI:: Digital Object Identifier (open in new tab) 10.1016/j.mechrescom.2022.103988
Verified by:: Gdańsk University of Technology