Javadpour, Seyed Alireza; Salehi, Manouchehr; Saber-Samandari, Saeed An efficient numerical method for the quasi-static behaviour of micropolar viscoelastic Timoshenko beams for couple stress problems. (English) Zbl 07801609 Comput. Math. Appl. 155, 15-34 (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{S. A. Javadpour} et al., Comput. Math. Appl. 155, 15--34 (2024; Zbl 07801609) Full Text: DOI
Vatulyan, A. O.; Nesterov, S. A.; Yavruyan, O. V. The models of gradient mechanics and singularly perturbed boundary value problems. (English) Zbl 07792174 Lobachevskii J. Math. 44, No. 8, 3604-3612 (2023). MSC: 74Kxx 74Bxx 74Gxx PDFBibTeX XMLCite \textit{A. O. Vatulyan} et al., Lobachevskii J. Math. 44, No. 8, 3604--3612 (2023; Zbl 07792174) Full Text: DOI
Hrytsyna, O. R. Nonclassical linear theories of continuum mechanics. (English. Ukrainian original) Zbl 1522.74004 J. Math. Sci., New York 273, No. 1, 101-123 (2023); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 3, 85-106 (2020). MSC: 74A20 74A05 74B99 74A35 PDFBibTeX XMLCite \textit{O. R. Hrytsyna}, J. Math. Sci., New York 273, No. 1, 101--123 (2023; Zbl 1522.74004); translation from Mat. Metody Fiz.-Mekh. Polya 63, No. 3, 85--106 (2020) Full Text: DOI
Zhang, Run; Cheng, Jiahao; Chen, Tingrui; Zhong, Hongzhi A weak form quadrature element formulation of geometrically exact beams with strain gradient elasticity. (English) Zbl 1510.74135 Eur. J. Mech., A, Solids 99, Article ID 104912, 19 p. (2023). MSC: 74S99 74S05 74K10 PDFBibTeX XMLCite \textit{R. Zhang} et al., Eur. J. Mech., A, Solids 99, Article ID 104912, 19 p. (2023; Zbl 1510.74135) Full Text: DOI
Danesh, Hooman; Javanbakht, Mahdi Free vibration analysis of nonlocal nanobeams: a comparison of the one-dimensional nonlocal integral Timoshenko beam theory with the two-dimensional nonlocal integral elasticity theory. (English) Zbl 07601663 Math. Mech. Solids 27, No. 4, 557-577 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{H. Danesh} and \textit{M. Javanbakht}, Math. Mech. Solids 27, No. 4, 557--577 (2022; Zbl 07601663) Full Text: DOI
Barchiesi, Emilio; Ciallella, Alessandro; Giorgio, Ivan On boundary layers observed in some 1D second-gradient theories. (English) Zbl 1496.74008 Giorgio, Ivan (ed.) et al., Theoretical analyses, computations, and experiments of multiscale materials. A tribute to Francesco dell’Isola. Cham: Springer. Adv. Struct. Mater. 175, 359-376 (2022). MSC: 74-10 74K10 PDFBibTeX XMLCite \textit{E. Barchiesi} et al., Adv. Struct. Mater. 175, 359--376 (2022; Zbl 1496.74008) Full Text: DOI
Ciallella, Alessandro; Giorgio, Ivan; Eugster, Simon R.; Rizzi, Nicola L.; dell’Isola, Francesco Generalized beam model for the analysis of wave propagation with a symmetric pattern of deformation in planar pantographic sheets. (English) Zbl 1524.74279 Wave Motion 113, Article ID 102986, 26 p. (2022). MSC: 74J30 74K10 PDFBibTeX XMLCite \textit{A. Ciallella} et al., Wave Motion 113, Article ID 102986, 26 p. (2022; Zbl 1524.74279) Full Text: DOI
Jiang, Yiyuan; Li, Li; Hu, Yujin Strain gradient elasticity theory of polymer networks. (English) Zbl 1502.74014 Acta Mech. 233, No. 8, 3213-3231 (2022). MSC: 74B99 74A20 74A60 82D60 PDFBibTeX XMLCite \textit{Y. Jiang} et al., Acta Mech. 233, No. 8, 3213--3231 (2022; Zbl 1502.74014) Full Text: DOI
Hosseini, S. B.; Niiranen, J. 3D strain gradient elasticity: variational formulations, isogeometric analysis and model peculiarities. (English) Zbl 1507.74066 Comput. Methods Appl. Mech. Eng. 389, Article ID 114324, 21 p. (2022). MSC: 74B05 74S22 PDFBibTeX XMLCite \textit{S. B. Hosseini} and \textit{J. Niiranen}, Comput. Methods Appl. Mech. Eng. 389, Article ID 114324, 21 p. (2022; Zbl 1507.74066) Full Text: DOI
Khakalo, Sergei; Laukkanen, Anssi Strain gradient elasto-plasticity model: 3D isogeometric implementation and applications to cellular structures. (English) Zbl 1507.74080 Comput. Methods Appl. Mech. Eng. 388, Article ID 114225, 35 p. (2022). MSC: 74C05 74S22 PDFBibTeX XMLCite \textit{S. Khakalo} and \textit{A. Laukkanen}, Comput. Methods Appl. Mech. Eng. 388, Article ID 114225, 35 p. (2022; Zbl 1507.74080) Full Text: DOI
Pinnola, Francesco Paolo; Vaccaro, Marzia Sara; Barretta, Raffaele; Marotti de Sciarra, Francesco Finite element method for stress-driven nonlocal beams. (English) Zbl 1521.74246 Eng. Anal. Bound. Elem. 134, 22-34 (2022). MSC: 74S05 65N30 74K10 PDFBibTeX XMLCite \textit{F. P. Pinnola} et al., Eng. Anal. Bound. Elem. 134, 22--34 (2022; Zbl 1521.74246) Full Text: DOI
Eremeyev, Victor A.; Lebedev, Leonid P.; Cloud, Michael J. On weak solutions of boundary value problems within the surface elasticity of \(N\)th order. (English) Zbl 07809795 ZAMM, Z. Angew. Math. Mech. 101, No. 3, Article ID e202000378, 11 p. (2021). MSC: 74Axx 74Bxx 74-XX PDFBibTeX XMLCite \textit{V. A. Eremeyev} et al., ZAMM, Z. Angew. Math. Mech. 101, No. 3, Article ID e202000378, 11 p. (2021; Zbl 07809795) Full Text: DOI
Yin, Shuohui; Deng, Yang; Yu, Tiantang; Gu, Shuitao; Zhang, Gongye Isogeometric analysis for non-classical Bernoulli-Euler beam model incorporating microstructure and surface energy effects. (English) Zbl 1485.74094 Appl. Math. Modelling 89, Part 1, 470-485 (2021). MSC: 74S22 74K10 74M25 74H45 PDFBibTeX XMLCite \textit{S. Yin} et al., Appl. Math. Modelling 89, Part 1, 470--485 (2021; Zbl 1485.74094) Full Text: DOI
Torabi, Jalal; Niiranen, Jarkko; Ansari, Reza Nonlinear finite element analysis within strain gradient elasticity: Reissner-Mindlin plate theory versus three-dimensional theory. (English) Zbl 1484.74073 Eur. J. Mech., A, Solids 87, Article ID 104221, 20 p. (2021). MSC: 74S05 74K20 74B99 PDFBibTeX XMLCite \textit{J. Torabi} et al., Eur. J. Mech., A, Solids 87, Article ID 104221, 20 p. (2021; Zbl 1484.74073) Full Text: DOI
Spagnuolo, Mario; Yildizdag, M. Erden; Andreaus, Ugo; Cazzani, Antonio M. Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures? (English) Zbl 1486.74005 Math. Mech. Solids 26, No. 1, 18-29 (2021). MSC: 74A20 PDFBibTeX XMLCite \textit{M. Spagnuolo} et al., Math. Mech. Solids 26, No. 1, 18--29 (2021; Zbl 1486.74005) Full Text: DOI
Amiot, F. Constitutively optimal governing equations for higher-grade elastic beams. (English) Zbl 1479.74070 Eur. J. Mech., A, Solids 86, Article ID 104195, 21 p. (2021). MSC: 74K10 74B99 74A20 PDFBibTeX XMLCite \textit{F. Amiot}, Eur. J. Mech., A, Solids 86, Article ID 104195, 21 p. (2021; Zbl 1479.74070) Full Text: DOI
Darban, Hossein; Caporale, Andrea; Luciano, Raimondo Nonlocal layerwise formulation for bending of multilayered/functionally graded nanobeams featuring weak bonding. (English) Zbl 1479.74071 Eur. J. Mech., A, Solids 86, Article ID 104193, 13 p. (2021). MSC: 74K10 74E30 74E05 74M25 74B99 PDFBibTeX XMLCite \textit{H. Darban} et al., Eur. J. Mech., A, Solids 86, Article ID 104193, 13 p. (2021; Zbl 1479.74071) Full Text: DOI
Zhang, Bo; Li, Heng; Liu, Juan; Shen, Huoming; Zhang, Xu Surface energy-enriched gradient elastic Kirchhoff plate model and a novel weak-form solution scheme. (English) Zbl 1473.74089 Eur. J. Mech., A, Solids 85, Article ID 104118, 34 p. (2021). MSC: 74K20 74B99 74H45 74S05 PDFBibTeX XMLCite \textit{B. Zhang} et al., Eur. J. Mech., A, Solids 85, Article ID 104118, 34 p. (2021; Zbl 1473.74089) Full Text: DOI
Khakalo, Sergei; Niiranen, Jarkko Anisotropic strain gradient thermoelasticity for cellular structures: plate models, homogenization and isogeometric analysis. (English) Zbl 1481.74108 J. Mech. Phys. Solids 134, Article ID 103728, 36 p. (2020). MSC: 74E10 74F05 74Q99 PDFBibTeX XMLCite \textit{S. Khakalo} and \textit{J. Niiranen}, J. Mech. Phys. Solids 134, Article ID 103728, 36 p. (2020; Zbl 1481.74108) Full Text: DOI Link
Tran, Loc V.; Niiranen, Jarkko A geometrically nonlinear Euler-Bernoulli beam model within strain gradient elasticity with isogeometric analysis and lattice structure applications. (English) Zbl 1473.65213 Math. Mech. Complex Syst. 8, No. 4, 345-371 (2020). MSC: 65M60 74A60 74B20 74K10 74Q15 PDFBibTeX XMLCite \textit{L. V. Tran} and \textit{J. Niiranen}, Math. Mech. Complex Syst. 8, No. 4, 345--371 (2020; Zbl 1473.65213) Full Text: DOI
Giorgio, Ivan A discrete formulation of Kirchhoff rods in large-motion dynamics. (English) Zbl 1482.74105 Math. Mech. Solids 25, No. 5, 1081-1100 (2020). MSC: 74K10 74S99 PDFBibTeX XMLCite \textit{I. Giorgio}, Math. Mech. Solids 25, No. 5, 1081--1100 (2020; Zbl 1482.74105) Full Text: DOI HAL
Zhang, Gongye; Gao, Xin-Lin A new Bernoulli-Euler beam model based on a reformulated strain gradient elasticity theory. (English) Zbl 1446.74156 Math. Mech. Solids 25, No. 3, 630-643 (2020). MSC: 74K10 74B99 PDFBibTeX XMLCite \textit{G. Zhang} and \textit{X.-L. Gao}, Math. Mech. Solids 25, No. 3, 630--643 (2020; Zbl 1446.74156) Full Text: DOI
Yildizdag, M. Erden; Barchiesi, Emilio; dell’Isola, Francesco Three-point bending test of pantographic blocks: numerical and experimental investigation. (English) Zbl 07259266 Math. Mech. Solids 25, No. 10, 1965-1978 (2020). MSC: 74-XX PDFBibTeX XMLCite \textit{M. E. Yildizdag} et al., Math. Mech. Solids 25, No. 10, 1965--1978 (2020; Zbl 07259266) Full Text: DOI HAL
Baroudi, Djebar; Giorgio, Ivan; Battista, Antonio; Turco, Emilio; Igumnov, Leonid A. Nonlinear dynamics of uniformly loaded elastica: experimental and numerical evidence of motion around curled stable equilibrium configurations. (English) Zbl 07785932 ZAMM, Z. Angew. Math. Mech. 99, No. 7, Article ID e201800121, 20 p. (2019). MSC: 74Kxx 74Axx 74Hxx PDFBibTeX XMLCite \textit{D. Baroudi} et al., ZAMM, Z. Angew. Math. Mech. 99, No. 7, Article ID e201800121, 20 p. (2019; Zbl 07785932) Full Text: DOI
Barchiesi, Emilio; Khakalo, Sergei Variational asymptotic homogenization of beam-like square lattice structures. (English) Zbl 07273367 Math. Mech. Solids 24, No. 10, 3295-3318 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{E. Barchiesi} and \textit{S. Khakalo}, Math. Mech. Solids 24, No. 10, 3295--3318 (2019; Zbl 07273367) Full Text: DOI