The «materialization» of forces: Why confounding mathematical concept and physical entity makes the design of metamaterials arduous (Q6121039)

scientific article; zbMATH DE number 7824463

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English	The «materialization» of forces: Why confounding mathematical concept and physical entity makes the design of metamaterials arduous	scientific article; zbMATH DE number 7824463

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instance of

scholarly article

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title

The «materialization» of forces: Why confounding mathematical concept and physical entity makes the design of metamaterials arduous (English)

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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

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publication date

26 March 2024

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MaRDI profile type

MaRDI publication profile

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cites work

Q5677120

0 references

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

0 references

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

0 references

Q3244672

0 references

Functional concepts in continuum mechanics

0 references

How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert''

0 references

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

0 references

Linear pantographic sheets: asymptotic micro-macro models identification

0 references

Theoretical analyses, computations, and experiments of multiscale materials. A tribute to Francesco dell'Isola

0 references

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

0 references

Parameter identification of a second-gradient model for the description of pantographic structures in dynamic regime

0 references

Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model

0 references

Hemivariational continuum approach for granular solids with damage-induced anisotropy evolution

0 references

Micromechanics-based elasto-plastic-damage energy formulation for strain gradient solids with granular microstructure

0 references

A 3D extension of pantographic geometries to obtain metamaterial with semi-auxetic properties

0 references

Generalized beam model for the analysis of wave propagation with a symmetric pattern of deformation in planar pantographic sheets

0 references

Shear rupture mechanism and dissipation phenomena in bias-extension test of pantographic sheets: Numerical modeling and experiments

0 references

The effect of local random defects on the response of pantographic sheets

0 references

In-plane dynamic buckling of duoskelion beam-like structures: discrete modeling and numerical results

0 references

Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients

0 references

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

0 references

The matric computer

0 references

Kron's method and the theoretical foundation of the Matric Computer

0 references

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

0 references

The complete works of Gabrio Piola: Volume II. Commented English translation of the original Italian works

0 references

Q5512855

0 references

Q4510221

0 references

The complete works of Gabrio Piola: Volume I. Commented English translation of the original Italian works, published between 1825 and 1856

0 references

The postulations á la D’Alembert and á la Cauchy for higher gradient continuum theories are equivalent: a review of existing results

0 references

Exegesis of the Introduction and Sect. I from “Fundamentals of the Mechanics of Continua”** by E. Hellinger

0 references

Exegesis of Sect. II and III.A from “Fundamentals of the Mechanics of Continua” by E. Hellinger

0 references

Exegesis of Sect. III.B from “Fundamentals of the Mechanics of Continua” by E. Hellinger

0 references

A review of presentations and discussions of the workshop Computational mechanics of generalized continua and applications to materials with microstructure that was held in Catania 29–31 October 2015

0 references

Mechanics of generalized continua

0 references

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

0 references

Linear theory of micropolar viscoelasticity

0 references

Micropolar media. I: The classical theory. II: The relativistic theory

0 references

Q3478035

0 references

Cauchy and the modern mechanics of continua

0 references

Continuum mechanics through the eighteenth and nineteenth centuries. Historical perspectives from John Bernoulli (1727) to Ernst Hellinger (1914)

0 references

Thermodynamics and the possibility of spatial interaction in elastic materials

0 references

0 references

0 references

0 references

0 references

0 references

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

Edge contact forces and quasi-balanced power

0 references

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

0 references

Variational principles are a powerful tool also for formulating field theories

0 references

Must Elastic Materials be Hyperelastic?

0 references

Q4098717

0 references

Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids

0 references

Nonlinear problems of elasticity

0 references

The principle of virtual work and integral laws of motion

0 references

Variational principles of continuum mechanics. II: Applications

0 references

The variational approach to fracture

0 references

Cauchy tetrahedron argument applied to higher contact interactions

0 references

The Early Period of the Calculus of Variations

0 references

Q5512814

0 references

Q5569399

0 references

Q5513588

0 references

Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales

0 references

Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives

0 references

Continuum thermomechanics: The art and science of modelling material behavior. A volume dedicated to Paul Germain on the occasion of his 80th birthday

0 references

A Set of Principles to Interconnect the Solutions of Physical Systems

0 references

Q3229908

0 references

Q5794185

0 references

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

0 references

Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence

0 references

Theories of elasticity with couple-stress

0 references

Introduction to the Theory of Complex Systems

0 references

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

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

On the derivation of thermomechanical balance equations for continuous systems with a nonmaterial interface

0 references

A phenomenological approach to phase transition in classical field theory

0 references

Hydrodynamic limits of the Boltzmann equation

0 references

Electrical analogs of curved beams and application to piezoelectric network damping

0 references

Piezo-electromechanical (PEM) Kirchhoff-Love plates

0 references

Modal coupling in one-dimensional electro-mechanical structured continua

0 references

Damping of bending waves in truss beams by electrical transmission lines with PZT actuators

0 references

Q3734342

0 references

Identifiers

Mathematics Subject Classification ID

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10.1002/ZAMM.202200433

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Sitelinks

Mathematics(1 entry)

mardi Publication:6121039