Do we really need pantographic structures? (Q2080451)

scientific article; zbMATH DE number 7598006

Language	Label	Description	Also known as
English	Do we really need pantographic structures?	scientific article; zbMATH DE number 7598006

Statements

instance of

scholarly article

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title

Do we really need pantographic structures? (English)

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7 October 2022

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zbMATH Keywords

pantographic structures

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metamaterials

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continuum mechanics

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second gradient theory

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microstructure

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variational principles

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/978-3-030-42707-8_13

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cites work

Homogenization of frame lattices leading to second gradient models coupling classical strain and strain-gradient terms

0 references

Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients

0 references

On the Theories of Plates Based on the Cosserat Approach

0 references

Cosserat Media

0 references

Cosserat-Type Rods

0 references

On generalized Cosserat-type theories of plates and shells: a short review and bibliography

0 references

A Ritz approach for the static analysis of planar pantographic structures modeled with nonlinear Euler-Bernoulli beams

0 references

On the algebraic structure of isotropic generalized elasticity theories

0 references

Mechanical metamaterials: a state of the art

0 references

Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation

0 references

Computation of brittle fracture propagation in strain gradient materials by the FEniCS library

0 references

Finite gradient elasticity and plasticity: a constitutive mechanical framework

0 references

Q5842045

0 references

Linear pantographic sheets: asymptotic micro-macro models identification

0 references

Macroscopic description of microscopically strongly inhomogenous systems: a mathematical basis for the synthesis of higher gradients metamaterials

0 references

Four-noded mixed finite elements, using unsymmetric stresses, for linear analysis of membranes

0 references

On some mixed finite element methods for plane membrane problems

0 references

Isogeometric analysis of plane-curved beams

0 references

Constitutive models for strongly curved beams in the frame of isogeometric analysis

0 references

On the whole spectrum of Timoshenko beams. II: Further applications

0 references

A variational model based on isogeometric interpolation for the analysis of cracked bodies

0 references

Q4862851

0 references

Edge contact forces and quasi-balanced power

0 references

Generalized Hooke's law for isotropic second gradient materials

0 references

At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola

0 references

An appreciation and discussion of Paul Germain's ``The method of virtual power in the mechanics of continuous media. I.: second-gradient theory''

0 references

Generalized models and non-classical approaches in complex materials. 1. Dedicated to the memory of Gérard Maugin

0 references

Foundations of micropolar mechanics

0 references

Linear pantographic sheets: existence and uniqueness of weak solutions

0 references

Continuum theory for mechanical metamaterials with a cubic lattice substructure

0 references

The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure

0 references

The method of virtual power in the mechanics of continuous media. I. Second-gradient theory

0 references

A two-dimensional continuum model of pantographic sheets moving in a 3D space and accounting for the offset and relative rotations of the fibers

0 references

B-spline interpolation of Kirchhoff-Love space rods

0 references

An implicit \(G^1\) multi patch B-spline interpolation for Kirchhoff-Love space rod

0 references

Variational space-time elements for large-scale systems

0 references

Phase field theory for fracture at large strains including surface stresses

0 references

Anisotropic strain gradient thermoelasticity for cellular structures: plate models, homogenization and isogeometric analysis

0 references

Numerical Solution of Ordinary and Partial Differential Equations by Means of Equivalent Circuits

0 references

Mechanics of generalized continua

0 references

Granular micromechanics model for damage and plasticity of cementitious materials based upon thermomechanics

0 references

A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium

0 references

A variational approach for a nonlinear 1-dimensional second gradient continuum damage model

0 references

A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results

0 references

Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices

0 references

Isogeometric analysis of fiber reinforced composites using Kirchhoff-Love shell elements

0 references

Q3826212

0 references

Circuit analogies in the search for new metamaterials: phenomenology of a mechanical diode

0 references

Equilibrium paths of Hencky pantographic beams in a three-point bending problem

0 references

Nonlinear dynamic analysis of hysteretic mechanical systems by combining a novel rate-independent model and an explicit time integration method

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Material characterization and computations of a polymeric metamaterial with a pantographic substructure

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Three-point bending test of pantographic blocks: numerical and experimental investigation

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Identifiers

zbMATH Open document ID

1496.74022

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DOI

10.1007/978-3-030-42707-8_13

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2080451