Ma, Ran; Sun, WaiChing A finite micro-rotation material point method for micropolar solid and fluid dynamics with three-dimensional evolving contacts and free surfaces. (English) Zbl 1507.74028 Comput. Methods Appl. Mech. Eng. 391, Article ID 114540, 25 p. (2022). MSC: 74A35 74S99 65N75 74M15 PDFBibTeX XMLCite \textit{R. Ma} and \textit{W. Sun}, Comput. Methods Appl. Mech. Eng. 391, Article ID 114540, 25 p. (2022; Zbl 1507.74028) Full Text: DOI
Ansari, Reza; Norouzzadeh, Amir; Rouhi, Hessam Micromorphic continuum theory: finite element analysis of 3D elasticity with applications in beam- and plate-type structures. (English) Zbl 1473.74130 Ghavanloo, Esmaeal (ed.) et al., Size-dependent continuum mechanics approaches. Theory and applications. Cham: Springer. Springer Tracts Mech. Eng., 339-363 (2021). MSC: 74S05 74A60 74K10 74K20 PDFBibTeX XMLCite \textit{R. Ansari} et al., in: Size-dependent continuum mechanics approaches. Theory and applications. Cham: Springer. 339--363 (2021; Zbl 1473.74130) 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
Norouzzadeh, Amir; Ansari, Reza; Darvizeh, Mansour Large elastic deformation of micromorphic shells. II: Isogeometric analysis. (English) Zbl 07273391 Math. Mech. Solids 24, No. 12, 3753-3778 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{A. Norouzzadeh} et al., Math. Mech. Solids 24, No. 12, 3753--3778 (2019; Zbl 07273391) Full Text: DOI
Bazdid-Vahdati, Majid; Faraji Oskouie, Mohammad; Ansari, Reza; Rouhi, Hessam Finite element analysis of micromorphic and micropolar continua based on two-dimensional elasticity. (English) Zbl 1425.74451 Math. Mech. Solids 24, No. 6, 1893-1907 (2019). MSC: 74S05 74A35 74A60 PDFBibTeX XMLCite \textit{M. Bazdid-Vahdati} et al., Math. Mech. Solids 24, No. 6, 1893--1907 (2019; Zbl 1425.74451) Full Text: DOI
Li, Xikui; Liang, Yuanbo; Duan, Qinglin; Schrefler, B. A.; Du, Youyao A mixed finite element procedure of gradient Cosserat continuum for second-order computational homogenisation of granular materials. (English) Zbl 1311.74125 Comput. Mech. 54, No. 5, 1331-1356 (2014). MSC: 74S05 74E20 74Q05 PDFBibTeX XMLCite \textit{X. Li} et al., Comput. Mech. 54, No. 5, 1331--1356 (2014; Zbl 1311.74125) Full Text: DOI
Salehi, S. Hassan; Salehi, Manouchehr Numerical investigation of nanoindentation size effect using micropolar theory. (English) Zbl 1326.74105 Acta Mech. 225, No. 12, 3365-3376 (2014). MSC: 74M20 74S05 74M25 74A35 74C05 PDFBibTeX XMLCite \textit{S. H. Salehi} and \textit{M. Salehi}, Acta Mech. 225, No. 12, 3365--3376 (2014; Zbl 1326.74105) Full Text: DOI
Zhang, Sheng; Xie, Z. Q.; Chen, B. S.; Zhang, H. W. Finite element analysis of 3D elastic-plastic frictional contact problem for Cosserat materials. (English) Zbl 1366.74080 Comput. Mech. 51, No. 6, 911-925 (2013). MSC: 74S05 74M15 74C05 90C20 PDFBibTeX XMLCite \textit{S. Zhang} et al., Comput. Mech. 51, No. 6, 911--925 (2013; Zbl 1366.74080) Full Text: DOI
Repin, S.; Frolov, M. E. Estimates for deviations from exact solutions to plane problems in the Cosserat theory of elasticity. (English. Russian original) Zbl 1273.35266 J. Math. Sci., New York 181, No. 2, 281-291 (2012); translation from Probl. Mat. Anal. 62, 153-161 (2011); erratum ibid. 191, No. 2, 314-315 (2013). MSC: 35Q74 35A35 74B20 PDFBibTeX XMLCite \textit{S. Repin} and \textit{M. E. Frolov}, J. Math. Sci., New York 181, No. 2, 281--291 (2012; Zbl 1273.35266); translation from Probl. Mat. Anal. 62, 153--161 (2011); erratum ibid. 191, No. 2, 314--315 (2011) Full Text: DOI
Ramézani, Hamidréza; Jeong, Jena; Feng, Zhi-Qiang On parallel simulation of a new linear Cosserat elasticity model with grid framework model assumptions. (English) Zbl 1228.74009 Appl. Math. Modelling 35, No. 10, 4738-4758 (2011). MSC: 74B05 74A60 74S05 PDFBibTeX XMLCite \textit{H. Ramézani} et al., Appl. Math. Modelling 35, No. 10, 4738--4758 (2011; Zbl 1228.74009) Full Text: DOI HAL
Jeong, Jena; Ramézani, Hamidréza Enhanced numerical study of infinitesimal nonlinear Cosserat theory based on the grain size length scale assumption. (English) Zbl 1231.74018 Comput. Methods Appl. Mech. Eng. 199, No. 45-48, 2892-2902 (2010). MSC: 74A35 74S05 PDFBibTeX XMLCite \textit{J. Jeong} and \textit{H. Ramézani}, Comput. Methods Appl. Mech. Eng. 199, No. 45--48, 2892--2902 (2010; Zbl 1231.74018) Full Text: DOI
Altenbach, Johannes; Altenbach, Holm; Eremeyev, Victor A. On generalized Cosserat-type theories of plates and shells: a short review and bibliography. (English) Zbl 1184.74042 Arch. Appl. Mech. 80, No. 1, 73-92 (2010). MSC: 74K20 74K25 74A35 74-02 PDFBibTeX XMLCite \textit{J. Altenbach} et al., Arch. Appl. Mech. 80, No. 1, 73--92 (2010; Zbl 1184.74042) Full Text: DOI HAL