O’Hare, Ted J.; Gourgiotis, Panos A.; Coombs, William M.; Augarde, Charles E. An implicit material point method for micropolar solids undergoing large deformations. (English) Zbl 07796690 Comput. Methods Appl. Mech. Eng. 419, Article ID 116668, 24 p. (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{T. J. O'Hare} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116668, 24 p. (2024; Zbl 07796690) Full Text: DOI
Yanes, V.; Espinosa-Almeyda, Y.; Rodríguez-Ramos, R.; Sánchez-Valdés, C. F.; Sabina, F. J.; Montans, F. J. Effective properties of centro-symmetric micropolar composites with non-uniform imperfect contact conditions. (English) Zbl 07736627 Eur. J. Mech., A, Solids 101, Article ID 105038, 14 p. (2023). Reviewer: Vladimir Mityushev (Kraków) MSC: 74Q15 74Q05 74E30 74A35 74M25 PDFBibTeX XMLCite \textit{V. Yanes} et al., Eur. J. Mech., A, Solids 101, Article ID 105038, 14 p. (2023; Zbl 07736627) 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
Siciliano, Alfio Francesco; Škec, Leo; Jelenić, Gordan Closed-form solutions for two-layer Timoshenko beams with interlayer slip, uplift and rotation compliance. (English) Zbl 1523.74072 Meccanica 58, No. 5, 893-918 (2023). MSC: 74K10 74E30 74B05 74G05 PDFBibTeX XMLCite \textit{A. F. Siciliano} et al., Meccanica 58, No. 5, 893--918 (2023; Zbl 1523.74072) Full Text: DOI
Schiavone, Antonio; Wang, Xiaodong A new continuum model of a class of elastic metamaterials with local rotational effects. (English) Zbl 1518.74068 Acta Mech. 234, No. 8, 3709-3723 (2023). MSC: 74Q15 74J99 74E25 82B21 PDFBibTeX XMLCite \textit{A. Schiavone} and \textit{X. Wang}, Acta Mech. 234, No. 8, 3709--3723 (2023; Zbl 1518.74068) Full Text: DOI
Fares, M. E.; Salem, M. G.; Atta, Doaa; Elmarghany, M. Kh. Mixed variational principle for micropolar elasticity and an accurate two-dimensional plate model. (English) Zbl 1517.74004 Eur. J. Mech., A, Solids 99, Article ID 104870, 17 p. (2023). MSC: 74A35 74K20 74G65 74H45 PDFBibTeX XMLCite \textit{M. E. Fares} et al., Eur. J. Mech., A, Solids 99, Article ID 104870, 17 p. (2023; Zbl 1517.74004) Full Text: DOI
Rizzi, Gianluca; Hütter, Geralf; Khan, Hassam; Ghiba, Ionel-Dumitrel; Madeo, Angela; Neff, Patrizio Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations). (English) Zbl 07590438 Math. Mech. Solids 27, No. 3, 507-553 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{G. Rizzi} et al., Math. Mech. Solids 27, No. 3, 507--553 (2022; Zbl 07590438) Full Text: DOI arXiv
Khan, Hassam; Ghiba, Ionel-Dumitrel; Madeo, Angela; Neff, Patrizio Existence and uniqueness of Rayleigh waves in isotropic elastic Cosserat materials and algorithmic aspects. (English) Zbl 1524.74232 Wave Motion 110, Article ID 102898, 39 p. (2022). MSC: 74J15 35Q74 74H05 74J05 74M25 PDFBibTeX XMLCite \textit{H. Khan} et al., Wave Motion 110, Article ID 102898, 39 p. (2022; Zbl 1524.74232) Full Text: DOI arXiv
Matrosov, Alexander V. An exact analytical solution for a free-supported micropolar rectangle by the method of initial functions. (English) Zbl 1486.35183 Z. Angew. Math. Phys. 73, No. 2, Paper No. 74, 17 p. (2022). MSC: 35J57 35A01 PDFBibTeX XMLCite \textit{A. V. Matrosov}, Z. Angew. Math. Phys. 73, No. 2, Paper No. 74, 17 p. (2022; Zbl 1486.35183) Full Text: DOI
Stempin, Paulina; Sumelka, Wojciech Formulation and experimental validation of space-fractional Timoshenko beam model with functionally graded materials effects. (English) Zbl 1477.74060 Comput. Mech. 68, No. 3, 697-708 (2021). MSC: 74K10 74S40 74E05 74M25 74-05 PDFBibTeX XMLCite \textit{P. Stempin} and \textit{W. Sumelka}, Comput. Mech. 68, No. 3, 697--708 (2021; Zbl 1477.74060) Full Text: DOI
Siciliano, Alfio Francesco; Škec, Leo; Jelenić, Gordan Closed-form solutions for modelling the rotational stiffness of continuous and discontinuous compliant interfaces in two-layer Timoshenko beams. (English) Zbl 1475.74082 Acta Mech. 232, No. 7, 2793-2824 (2021). MSC: 74K10 74E30 74M15 74G05 PDFBibTeX XMLCite \textit{A. F. Siciliano} et al., Acta Mech. 232, No. 7, 2793--2824 (2021; Zbl 1475.74082) Full Text: DOI
Lianngenga, R.; Lalvohbika, J.; Tochhawng, Lalawmpuia; Lalduhawma, L. P.; Zadeng, Denghmingliani Reflection of longitudinal wave in the micropolar elasticity with voids. (English) Zbl 07341994 Int. J. Comput. Methods 18, No. 2, Article ID 2050035, 14 p. (2021). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{R. Lianngenga} et al., Int. J. Comput. Methods 18, No. 2, Article ID 2050035, 14 p. (2021; Zbl 07341994) Full Text: DOI
Frolov, M. E. Reliable a posteriori error estimation for Cosserat elasticity in 3D. (English) Zbl 1459.74011 Lobachevskii J. Math. 42, No. 1, 96-103 (2021). MSC: 74A35 74B99 74G65 35Q74 PDFBibTeX XMLCite \textit{M. E. Frolov}, Lobachevskii J. Math. 42, No. 1, 96--103 (2021; Zbl 1459.74011) Full Text: DOI
Guarín-Zapata, Nicolás; Gomez, Juan; Valencia, Camilo; Dargush, Gary F.; Hadjesfandiari, Ali Reza Finite element modeling of micropolar-based phononic crystals. (English) Zbl 1524.74026 Wave Motion 92, Article ID 102406, 15 p. (2020). MSC: 74A35 74E15 74S05 PDFBibTeX XMLCite \textit{N. Guarín-Zapata} et al., Wave Motion 92, Article ID 102406, 15 p. (2020; Zbl 1524.74026) Full Text: DOI arXiv
Fathabadi, Seyed Ali Abbaszadeh; Alinia, Yadolah A nano-scale frictional contact problem incorporating the size dependency and the surface effects. (English) Zbl 1481.74567 Appl. Math. Modelling 83, 107-121 (2020). MSC: 74M10 74M15 PDFBibTeX XMLCite \textit{S. A. A. Fathabadi} and \textit{Y. Alinia}, Appl. Math. Modelling 83, 107--121 (2020; Zbl 1481.74567) Full Text: DOI
Augello, R.; Carrera, E.; Pagani, A. Unified theory of structures based on micropolar elasticity. (English) Zbl 07794227 Meccanica 54, No. 11-12, 1785-1800 (2019). MSC: 74A35 PDFBibTeX XMLCite \textit{R. Augello} et al., Meccanica 54, No. 11--12, 1785--1800 (2019; Zbl 07794227) Full Text: DOI
Qiao, Zhen; Liu, Zhanfang Numerical research on a three-dimensional solid element based on generalized elasticity theory. (English) Zbl 1435.74011 Math. Probl. Eng. 2019, Article ID 2307689, 10 p. (2019). MSC: 74B05 74S05 PDFBibTeX XMLCite \textit{Z. Qiao} and \textit{Z. Liu}, Math. Probl. Eng. 2019, Article ID 2307689, 10 p. (2019; Zbl 1435.74011) Full Text: DOI
Zhang, G. Y.; Gao, X.-L. A non-classical Kirchhoff rod model based on the modified couple stress theory. (English) Zbl 1412.74043 Acta Mech. 230, No. 1, 243-264 (2019). MSC: 74K10 PDFBibTeX XMLCite \textit{G. Y. Zhang} and \textit{X. L. Gao}, Acta Mech. 230, No. 1, 243--264 (2019; Zbl 1412.74043) Full Text: DOI
Gori, Lapo; Silva Penna, Samuel; da Silva Pitangueira, Roque Luiz G-space theory and weakened-weak form for micropolar media: application to smoothed point interpolation methods. (English) Zbl 1464.74008 Eng. Anal. Bound. Elem. 101, 318-329 (2019). MSC: 74A35 74S05 65N30 PDFBibTeX XMLCite \textit{L. Gori} et al., Eng. Anal. Bound. Elem. 101, 318--329 (2019; Zbl 1464.74008) Full Text: DOI
Zozulya, V. V. Higher order couple stress theory of plates and shells. (English) Zbl 07776935 ZAMM, Z. Angew. Math. Mech. 98, No. 10, 1834-1863 (2018). MSC: 74Kxx 74Axx 74-XX PDFBibTeX XMLCite \textit{V. V. Zozulya}, ZAMM, Z. Angew. Math. Mech. 98, No. 10, 1834--1863 (2018; Zbl 07776935) Full Text: DOI
Zozulya, V. V. Higher order theory of micropolar plates and shells. (English) Zbl 07776878 ZAMM, Z. Angew. Math. Mech. 98, No. 6, 886-918 (2018). MSC: 74Axx 74Kxx 74-XX PDFBibTeX XMLCite \textit{V. V. Zozulya}, ZAMM, Z. Angew. Math. Mech. 98, No. 6, 886--918 (2018; Zbl 07776878) Full Text: DOI
Fantuzzi, Nicholas; Leonetti, Lorenzo; Trovalusci, Patrizia; Tornabene, Francesco Some novel numerical applications of Cosserat continua. (English) Zbl 1404.74031 Int. J. Comput. Methods 15, No. 6, Article ID 1850054, 38 p. (2018). MSC: 74E30 74S05 PDFBibTeX XMLCite \textit{N. Fantuzzi} et al., Int. J. Comput. Methods 15, No. 6, Article ID 1850054, 38 p. (2018; Zbl 1404.74031) Full Text: DOI
Hassanpour, Soroosh; Heppler, G. R. Theory of micropolar gyroelastic continua. (English) Zbl 1382.74010 Acta Mech. 227, No. 5, 1469-1491 (2016). MSC: 74A35 74M25 PDFBibTeX XMLCite \textit{S. Hassanpour} and \textit{G. R. Heppler}, Acta Mech. 227, No. 5, 1469--1491 (2016; Zbl 1382.74010) Full Text: DOI