Verification of strain gradient elasticity computation by analytical solutions (Q6190265)

scientific article; zbMATH DE number 7813220

Language	Label	Description	Also known as
English	Verification of strain gradient elasticity computation by analytical solutions	scientific article; zbMATH DE number 7813220

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instance of

scholarly article

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title

Verification of strain gradient elasticity computation by analytical solutions (English)

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

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publication date

5 March 2024

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zbMATH Keywords

analytical solutions

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strain gradient elasticity

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three-dimensional problems

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/zamm.202100023

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cites work

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Dynamic problems for metamaterials: review of existing models and ideas for further research

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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

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Variational principles are a powerful tool also for formulating field theories

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

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Continuum theory for mechanical metamaterials with a cubic lattice substructure

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Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis

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Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement

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Q4338620

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Geometrically nonlinear higher-gradient elasticity with energetic boundaries

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Open-source immersogeometric analysis of fluid-structure interaction using FEniCS and tIGAr

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

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Energy approach to brittle fracture in strain-gradient modelling

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An Inverse Method to Get Further Analytical Solutions for a Class of Metamaterials Aimed to Validate Numerical Integrations

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Analytical Solutions of 2-dimensional Second Gradient Linear Elasticity for Continua with Cubic-D4 Microstructure

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Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials

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A microscale second gradient approximation of the damage parameter of quasi-brittle heterogeneous lattices

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Q4260179

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Identifiers

Mathematics Subject Classification ID

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10.1002/ZAMM.202100023

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Sitelinks

Mathematics(1 entry)

mardi Publication:6190265