Lurie, S. A.; Volkov-Bogorodskiy, D. B.; Belov, P. A. On general representations of Papkovich-Neuber solutions in gradient elasticity. (English) Zbl 1525.74026 Lobachevskii J. Math. 44, No. 6, 2336-2351 (2023). MSC: 74B99 74E05 74G10 PDFBibTeX XMLCite \textit{S. A. Lurie} et al., Lobachevskii J. Math. 44, No. 6, 2336--2351 (2023; Zbl 1525.74026) Full Text: DOI
Kolpakov, Alexander G.; Rakin, Sergei I. Bending/tension of plate reinforced by a system of parallel fiber. (English) Zbl 1496.74010 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, 429-442 (2022). MSC: 74-10 74K20 74Q05 PDFBibTeX XMLCite \textit{A. G. Kolpakov} and \textit{S. I. Rakin}, Adv. Struct. Mater. 175, 429--442 (2022; Zbl 1496.74010) Full Text: DOI
Awad, Emad; El Dhaba, Amr R.; Fayik, Mohsen A unified model for the dynamical flexoelectric effect in isotropic dielectric materials. (English) Zbl 1496.74053 Eur. J. Mech., A, Solids 95, Article ID 104618, 14 p. (2022). Reviewer: Ahmed Ghaleb (Giza) MSC: 74F15 74H80 PDFBibTeX XMLCite \textit{E. Awad} et al., Eur. J. Mech., A, Solids 95, Article ID 104618, 14 p. (2022; Zbl 1496.74053) Full Text: DOI
Yang, Hua; Timofeev, Dmitry; Abali, B. Emek; Li, Baotong; Müller, Wolfgang H. Verification of strain gradient elasticity computation by analytical solutions. (English) Zbl 07813220 ZAMM, Z. Angew. Math. Mech. 101, No. 12, Article ID e202100023, 20 p. (2021). MSC: 74Axx 74Bxx 74Sxx PDFBibTeX XMLCite \textit{H. Yang} et al., ZAMM, Z. Angew. Math. Mech. 101, No. 12, Article ID e202100023, 20 p. (2021; Zbl 07813220) Full Text: DOI OA License
Laudato, M.; Manzari, L.; Giorgio, I.; Spagnuolo, M.; Göransson, P. Dynamics of pantographic sheet around the clamping region: experimental and numerical analysis. (English) Zbl 07589902 Math. Mech. Solids 26, No. 10, 1515-1537 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{M. Laudato} et al., Math. Mech. Solids 26, No. 10, 1515--1537 (2021; Zbl 07589902) Full Text: DOI
Qiao, Yanfen; Hou, Guolin; Chen, Alatancang A complete symplectic approach for a class of partial differential equations arising from the elasticity. (English) Zbl 1481.35362 Appl. Math. Modelling 89, Part 2, 1124-1139 (2021). MSC: 35Q74 37J11 74K20 PDFBibTeX XMLCite \textit{Y. Qiao} et al., Appl. Math. Modelling 89, Part 2, 1124--1139 (2021; Zbl 1481.35362) Full Text: DOI
Lurie, Sergey A.; Kalamkarov, Alexander L.; Solyaev, Yury O.; Volkov, Alexander V. Dilatation gradient elasticity theory. (English) Zbl 1485.74012 Eur. J. Mech., A, Solids 88, Article ID 104258, 12 p. (2021). MSC: 74B99 74A20 74H45 PDFBibTeX XMLCite \textit{S. A. Lurie} et al., Eur. J. Mech., A, Solids 88, Article ID 104258, 12 p. (2021; Zbl 1485.74012) Full Text: DOI
Barchiesi, E.; Yang, H.; Tran, Ca; Placidi, L.; Müller, W. H. Computation of brittle fracture propagation in strain gradient materials by the FEniCS library. (English) Zbl 07357405 Math. Mech. Solids 26, No. 3, 325-340 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{E. Barchiesi} et al., Math. Mech. Solids 26, No. 3, 325--340 (2021; Zbl 07357405) Full Text: DOI
El Dhaba, Amr Ramadan; Gabr, M. E. Flexoelectric effect induced in an anisotropic bar with cubic symmetry under torsion. (English) Zbl 1446.74119 Math. Mech. Solids 25, No. 3, 820-837 (2020). MSC: 74F15 74K10 74E10 PDFBibTeX XMLCite \textit{A. R. El Dhaba} and \textit{M. E. Gabr}, Math. Mech. Solids 25, No. 3, 820--837 (2020; Zbl 1446.74119) Full Text: DOI
El Dhaba, A. R.; Shaat, M. Modeling deformation of auxetic and non-auxetic polymer gels. (English) Zbl 1481.74065 Appl. Math. Modelling 74, 320-336 (2019). MSC: 74B05 82D60 PDFBibTeX XMLCite \textit{A. R. El Dhaba} and \textit{M. Shaat}, Appl. Math. Modelling 74, 320--336 (2019; Zbl 1481.74065) Full Text: DOI
Solyaev, Yury; Lurie, Sergey Pure bending of a piezoelectric layer in second gradient electroelasticity theory. (English) Zbl 1431.74046 Acta Mech. 230, No. 12, 4197-4211 (2019). MSC: 74F15 74G05 74A30 PDFBibTeX XMLCite \textit{Y. Solyaev} and \textit{S. Lurie}, Acta Mech. 230, No. 12, 4197--4211 (2019; Zbl 1431.74046) Full Text: DOI
Turco, Emilio How the properties of pantographic elementary lattices determine the properties of pantographic metamaterials. (English) Zbl 1425.74395 Abali, Bilen Emek (ed.) et al., New achievements in continuum mechanics and thermodynamics. A tribute to Wolfgang H. Müller. Cham: Springer. Adv. Struct. Mater. 108, 489-506 (2019). MSC: 74Q05 74Q15 74M25 PDFBibTeX XMLCite \textit{E. Turco}, Adv. Struct. Mater. 108, 489--506 (2019; Zbl 1425.74395) Full Text: DOI
Hou, Peng-Fei; Chen, Jia-Yun; Zhang, Yang Two-dimensional Green’s function of orthotropic three-phase material under a normal line force with application in the design of composite. (English) Zbl 1480.74053 Appl. Math. Modelling 60, 384-415 (2018). MSC: 74E30 PDFBibTeX XMLCite \textit{P.-F. Hou} et al., Appl. Math. Modelling 60, 384--415 (2018; Zbl 1480.74053) Full Text: DOI
Placidi, Luca; Barchiesi, Emilio Energy approach to brittle fracture in strain-gradient modelling. (English) Zbl 1402.74094 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2210, Article ID 20170878, 19 p. (2018). MSC: 74R10 PDFBibTeX XMLCite \textit{L. Placidi} and \textit{E. Barchiesi}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 474, No. 2210, Article ID 20170878, 19 p. (2018; Zbl 1402.74094) Full Text: DOI
Placidi, Luca; Misra, Anil; Barchiesi, Emilio Two-dimensional strain gradient damage modeling: a variational approach. (English) Zbl 1393.74168 Z. Angew. Math. Phys. 69, No. 3, Paper No. 56, 19 p. (2018). MSC: 74R05 PDFBibTeX XMLCite \textit{L. Placidi} et al., Z. Angew. Math. Phys. 69, No. 3, Paper No. 56, 19 p. (2018; Zbl 1393.74168) Full Text: DOI
Placidi, Luca; Barchiesi, Emilio; Misra, Anil A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results. (English) Zbl 1452.74019 Math. Mech. Complex Syst. 6, No. 2, 77-100 (2018). MSC: 74C05 74R99 PDFBibTeX XMLCite \textit{L. Placidi} et al., Math. Mech. Complex Syst. 6, No. 2, 77--100 (2018; Zbl 1452.74019) Full Text: DOI
Misra, Anil; Placidi, Luca; Scerrato, Daria 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. (English) Zbl 1391.74006 Math. Mech. Solids 22, No. 9, 1891-1904 (2017). MSC: 74-06 74-02 00B25 PDFBibTeX XMLCite \textit{A. Misra} et al., Math. Mech. Solids 22, No. 9, 1891--1904 (2017; Zbl 1391.74006) Full Text: DOI
Placidi, Luca; Andreaus, Ugo; Giorgio, Ivan Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model. (English) Zbl 1390.74018 J. Eng. Math. 103, 1-21 (2017). MSC: 74A30 74Q15 PDFBibTeX XMLCite \textit{L. Placidi} et al., J. Eng. Math. 103, 1--21 (2017; Zbl 1390.74018) Full Text: DOI
Turco, Emilio; Golaszewski, Maciej; Giorgio, Ivan; Placidi, Luca Can a Hencky-type model predict the mechanical behaviour of pantographic lattices? (English) Zbl 1382.74087 dell’Isola, Francesco (ed.) et al., Mathematical modelling in solid mechanics. Contributions mainly based on the presentations at the international conference ‘Emerging trends in applied mathematics and mechanics’, ETAMM 2016, Perpignan, France, May 30 – June 3, 2016. Singapore: Springer (ISBN 978-981-10-3763-4/hbk; 978-981-10-3764-1/ebook). Advanced Structured Materials 69, 285-311 (2017). MSC: 74K99 74C05 PDFBibTeX XMLCite \textit{E. Turco} et al., Adv. Struct. Mater. 69, 285--311 (2017; Zbl 1382.74087) Full Text: DOI
Placidi, Luca; Barchiesi, Emilio; Battista, Antonio An inverse method to get further analytical solutions for a class of metamaterials aimed to validate numerical integrations. (English) Zbl 1387.74022 dell’Isola, Francesco (ed.) et al., Mathematical modelling in solid mechanics. Contributions mainly based on the presentations at the international conference ‘Emerging trends in applied mathematics and mechanics’, ETAMM 2016, Perpignan, France, May 30 – June 3, 2016. Singapore: Springer (ISBN 978-981-10-3763-4/hbk; 978-981-10-3764-1/ebook). Advanced Structured Materials 69, 193-210 (2017). MSC: 74B99 74G05 74E10 PDFBibTeX XMLCite \textit{L. Placidi} et al., Adv. Struct. Mater. 69, 193--210 (2017; Zbl 1387.74022) Full Text: DOI
Scerrato, Daria; Zhurba Eremeeva, Inna A.; Lekszycki, Tomasz; Rizzi, Nicola L. On the effect of shear stiffness on the plane deformation of linear second gradient pantographic sheets. (English) Zbl 07775122 ZAMM, Z. Angew. Math. Mech. 96, No. 11, 1268-1279 (2016). MSC: 74Kxx 74Axx 74Mxx PDFBibTeX XMLCite \textit{D. Scerrato} et al., ZAMM, Z. Angew. Math. Mech. 96, No. 11, 1268--1279 (2016; Zbl 07775122) Full Text: DOI
Turco, Emilio; Barcz, Katarzyna; Rizzi, Nicola Luigi Non-standard coupled extensional and bending bias tests for planar pantographic lattices. II: Comparison with experimental evidence. (English) Zbl 1432.74157 Z. Angew. Math. Phys. 67, No. 5, Article ID 123, 16 p. (2016). MSC: 74M05 74S99 70H03 74B20 74Q05 PDFBibTeX XMLCite \textit{E. Turco} et al., Z. Angew. Math. Phys. 67, No. 5, Article ID 123, 16 p. (2016; Zbl 1432.74157) Full Text: DOI
Turco, Emilio; Barcz, Katarzyna; Pawlikowski, Marek; Rizzi, Nicola Luigi Non-standard coupled extensional and bending bias tests for planar pantographic lattices. I: Numerical simulations. (English) Zbl 1432.74156 Z. Angew. Math. Phys. 67, No. 5, Article ID 122, 16 p. (2016). MSC: 74M05 74S99 70H03 74B20 74Q05 PDFBibTeX XMLCite \textit{E. Turco} et al., Z. Angew. Math. Phys. 67, No. 5, Article ID 122, 16 p. (2016; Zbl 1432.74156) Full Text: DOI
Placidi, Luca; Barchiesi, Emilio; Turco, Emilio; Rizzi, Nicola Luigi A review on 2D models for the description of pantographic fabrics. (English) Zbl 1359.74019 Z. Angew. Math. Phys. 67, No. 5, Article ID 121, 20 p. (2016). MSC: 74A30 70H50 74Q05 PDFBibTeX XMLCite \textit{L. Placidi} et al., Z. Angew. Math. Phys. 67, No. 5, Article ID 121, 20 p. (2016; Zbl 1359.74019) Full Text: DOI
Placidi, Luca; Andreaus, Ugo; Della Corte, Alessandro; Lekszycki, Tomasz Gedanken experiments for the determination of two-dimensional linear second gradient elasticity coefficients. (English) Zbl 1386.74018 Z. Angew. Math. Phys. 66, No. 6, 3699-3725 (2015). MSC: 74B05 74A20 74G65 74G05 PDFBibTeX XMLCite \textit{L. Placidi} et al., Z. Angew. Math. Phys. 66, No. 6, 3699--3725 (2015; Zbl 1386.74018) Full Text: DOI