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Strain gradient and generalized continua obtained by homogenizing frame lattices
H Abdoul-Anziz, P Seppecher - Mathematics and mechanics of complex …, 2018 - msp.org
We determine the effective behavior of periodic structures made of welded elastic bars.
Taking into account the fact that flexural and torsional stiffnesses are much smaller than the …
Taking into account the fact that flexural and torsional stiffnesses are much smaller than the …
[HTML][HTML] Mori–Tanaka estimates of the effective elastic properties of stress-gradient composites
A stress-gradient material model was recently proposed by Forest and Sab (Mech. Res.
Comm. 40, 16–25, 2012) as an alternative to the well-known strain-gradient model …
Comm. 40, 16–25, 2012) as an alternative to the well-known strain-gradient model …
Elastic behavior of Cross Laminated Timber and timber panels with regular gaps: Thick-plate modeling and experimental validation
In the present paper, the influence of periodic gaps between lamellas of Cross Laminated
Timber (CLT) on the panel's elastic behavior is analyzed by means of a periodic …
Timber (CLT) on the panel's elastic behavior is analyzed by means of a periodic …
[HTML][HTML] The Bending–Gradient theory for the linear buckling of thick plates: Application to Cross Laminated Timber panels
In this paper, the linear buckling of a heterogeneous thick plate is studied using the Bending–
Gradient theory which is an extension of the Reissner–Mindlin plate theory to the case of …
Gradient theory which is an extension of the Reissner–Mindlin plate theory to the case of …
[HTML][HTML] Prediction of thick plate properties of CLT and innovative panels through machine learning algorithms
Determining the membrane, bending, and shear stiffness of cross-laminated timber (CLT)
and innovative panels requires advanced finite element computations and homogenization …
and innovative panels requires advanced finite element computations and homogenization …
A stress approach model of moderately thick, homogeneous shells
AF Domínguez Alvarado… - Mathematical Problems in …, 2018 - Wiley Online Library
This paper presents the theoretical development of a new model of shells called SAM‐H
(Stress Approach Model of Homogeneous shells) and adapted for linear elastic shells, from …
(Stress Approach Model of Homogeneous shells) and adapted for linear elastic shells, from …
Scattering of flexural waves in a semi-infinite piezoelectric thin plate with a circular hole
M Zhao, W Jiang, Q Wang, H Fan… - Mechanics of Advanced …, 2024 - Taylor & Francis
The scattering of flexural waves in piezoelectric thin plates with defects effects the electro-
mechanical coupling property. Theoretical analysis for flexural waves is lack of a suitable …
mechanical coupling property. Theoretical analysis for flexural waves is lack of a suitable …
The first-order structural functions method solution to the simply supported layered plate bending problem
LA Kabanova - Lobachevskii Journal of Mathematics, 2022 - Springer
This article is intended to derive the first-order structural functions method solution to a three-
dimensional problem of bending a heterogeneous, linear elastic plate with material …
dimensional problem of bending a heterogeneous, linear elastic plate with material …
Consistent derivation of stress-based generalized models in elastodynamics: application to layerwise plate models
The derivation of some class of generalized mechanical models relies on a specific stress
expansion without any a priori assumption on the corresponding kinematics. In such …
expansion without any a priori assumption on the corresponding kinematics. In such …
The bending-gradient theory for thick plates: Existence and uniqueness results
This paper is devoted to the mathematical justification of the Bending-Gradient theory which
is considered as the extension of the Reissner-Mindlin theory (or the First Order Shear …
is considered as the extension of the Reissner-Mindlin theory (or the First Order Shear …