Fedele, Francesco; Yavari, Arash Geometric phases of nonlinear elastic \(N\)-rotors via Cartan’s moving frames. (English) Zbl 07814543 Physica D 459, Article ID 134040, 17 p. (2024). MSC: 53Z05 53C50 74B99 58A15 PDFBibTeX XMLCite \textit{F. Fedele} and \textit{A. Yavari}, Physica D 459, Article ID 134040, 17 p. (2024; Zbl 07814543) Full Text: DOI arXiv
Yavari, Arash; Goriely, Alain The universal program of nonlinear hyperelasticity. (English) Zbl 1528.74015 J. Elasticity 154, No. 1-4, 91-146 (2023). MSC: 74B20 74A05 74E05 74E10 74E30 PDFBibTeX XMLCite \textit{A. Yavari} and \textit{A. Goriely}, J. Elasticity 154, No. 1--4, 91--146 (2023; Zbl 1528.74015) Full Text: DOI OA License
Sozio, Fabio; Yavari, Arash A geometric field theory of dislocation mechanics. (English) Zbl 1525.74037 J. Nonlinear Sci. 33, No. 5, Paper No. 83, 83 p. (2023). MSC: 74C15 74A60 74E15 53Z05 PDFBibTeX XMLCite \textit{F. Sozio} and \textit{A. Yavari}, J. Nonlinear Sci. 33, No. 5, Paper No. 83, 83 p. (2023; Zbl 1525.74037) Full Text: DOI arXiv
Yavari, Arash; Pradhan, Satya Prakash Accretion mechanics of nonlinear elastic circular cylindrical bars under finite torsion. (English) Zbl 1513.74045 J. Elasticity 152, No. 1-2, 29-60 (2022). MSC: 74B20 74A05 74G05 74F99 74K10 PDFBibTeX XMLCite \textit{A. Yavari} and \textit{S. P. Pradhan}, J. Elasticity 152, No. 1--2, 29--60 (2022; Zbl 1513.74045) Full Text: DOI
Yavari, Arash; Goriely, Alain Universality in anisotropic linear anelasticity. (English) Zbl 1505.74014 J. Elasticity 150, No. 2, 241-259 (2022). MSC: 74B05 74E10 PDFBibTeX XMLCite \textit{A. Yavari} and \textit{A. Goriely}, J. Elasticity 150, No. 2, 241--259 (2022; Zbl 1505.74014) Full Text: DOI
Sozio, Fabio; Golgoon, Ashkan; Yavari, Arash Elastodynamic transformation cloaking for non-centrosymmetric gradient solids. (English) Zbl 1468.53080 Z. Angew. Math. Phys. 72, No. 3, Paper No. 123, 19 p. (2021). MSC: 53Z30 70G45 74E05 74E10 74E99 PDFBibTeX XMLCite \textit{F. Sozio} et al., Z. Angew. Math. Phys. 72, No. 3, Paper No. 123, 19 p. (2021; Zbl 1468.53080) Full Text: DOI arXiv
Golgoon, Ashkan; Yavari, Arash Transformation cloaking in elastic plates. (English) Zbl 1464.74097 J. Nonlinear Sci. 31, No. 1, Paper No. 17, 76 p. (2021). MSC: 74K20 74B20 74P99 PDFBibTeX XMLCite \textit{A. Golgoon} and \textit{A. Yavari}, J. Nonlinear Sci. 31, No. 1, Paper No. 17, 76 p. (2021; Zbl 1464.74097) Full Text: DOI arXiv
Goodbrake, Christian; Yavari, Arash; Goriely, Alain The anelastic Ericksen problem: universal deformations and universal eigenstrains in incompressible nonlinear anelasticity. (English) Zbl 1459.74021 J. Elasticity 142, No. 2, 291-381 (2020). MSC: 74B20 74A99 22E70 53Z05 PDFBibTeX XMLCite \textit{C. Goodbrake} et al., J. Elasticity 142, No. 2, 291--381 (2020; Zbl 1459.74021) Full Text: DOI
Sozio, Fabio; Yavari, Arash Riemannian and Euclidean material structures in anelasticity. (English) Zbl 1482.74009 Math. Mech. Solids 25, No. 6, 1267-1293 (2020). MSC: 74A20 53Z05 PDFBibTeX XMLCite \textit{F. Sozio} and \textit{A. Yavari}, Math. Mech. Solids 25, No. 6, 1267--1293 (2020; Zbl 1482.74009) Full Text: DOI
Yavari, Arash Applications of algebraic topology in elasticity. (English) Zbl 1444.74009 Segev, Reuven (ed.) et al., Geometric continuum mechanics. Cham: Birkhäuser. (ISBN 978-3-030-42682-8/hbk; 978-3-030-42685-9/pbk; 978-3-030-42683-5/ebook). Advances in Mechanics and Mathematics 43. Advances in Continuum Mechanics, 143-183 (2020). MSC: 74B20 55N99 55Q99 PDFBibTeX XMLCite \textit{A. Yavari}, Adv. Mech. Math. 43, 143--183 (2020; Zbl 1444.74009) Full Text: DOI
Sozio, Fabio; Faghih Shojaei, Mostafa; Sadik, Souhayl; Yavari, Arash Nonlinear mechanics of thermoelastic accretion. (English) Zbl 1440.53118 Z. Angew. Math. Phys. 71, No. 3, Paper No. 87, 24 p. (2020). MSC: 53Z05 74A05 74A10 74A15 74B20 74F05 PDFBibTeX XMLCite \textit{F. Sozio} et al., Z. Angew. Math. Phys. 71, No. 3, Paper No. 87, 24 p. (2020; Zbl 1440.53118) Full Text: DOI
Sozio, Fabio; Yavari, Arash Nonlinear mechanics of accretion. (English) Zbl 1425.74089 J. Nonlinear Sci. 29, No. 4, 1813-1863 (2019). MSC: 74B20 74A05 74A10 53Z05 PDFBibTeX XMLCite \textit{F. Sozio} and \textit{A. Yavari}, J. Nonlinear Sci. 29, No. 4, 1813--1863 (2019; Zbl 1425.74089) Full Text: DOI
Yavari, Arash; Golgoon, Ashkan Nonlinear and linear elastodynamic transformation cloaking. (English) Zbl 1459.74090 Arch. Ration. Mech. Anal. 234, No. 1, 211-316 (2019). MSC: 74H99 74B20 74B05 PDFBibTeX XMLCite \textit{A. Yavari} and \textit{A. Golgoon}, Arch. Ration. Mech. Anal. 234, No. 1, 211--316 (2019; Zbl 1459.74090) Full Text: DOI arXiv
Golgoon, Ashkan; Yavari, Arash Line and point defects in nonlinear anisotropic solids. (English) Zbl 1452.74017 Z. Angew. Math. Phys. 69, No. 3, Paper No. 81, 28 p. (2018). MSC: 74B20 74G10 74E10 74A10 PDFBibTeX XMLCite \textit{A. Golgoon} and \textit{A. Yavari}, Z. Angew. Math. Phys. 69, No. 3, Paper No. 81, 28 p. (2018; Zbl 1452.74017) Full Text: DOI arXiv
Golgoon, Ashkan; Yavari, Arash Nonlinear elastic inclusions in anisotropic solids. (English) Zbl 1455.74016 J. Elasticity 130, No. 2, 239-269 (2018). MSC: 74B20 74E10 15A72 PDFBibTeX XMLCite \textit{A. Golgoon} and \textit{A. Yavari}, J. Elasticity 130, No. 2, 239--269 (2018; Zbl 1455.74016) Full Text: DOI
Sozio, Fabio; Yavari, Arash Nonlinear mechanics of surface growth for cylindrical and spherical elastic bodies. (English) Zbl 1482.74023 J. Mech. Phys. Solids 98, 12-48 (2017). MSC: 74A50 74B20 74H99 PDFBibTeX XMLCite \textit{F. Sozio} and \textit{A. Yavari}, J. Mech. Phys. Solids 98, 12--48 (2017; Zbl 1482.74023) Full Text: DOI
Golgoon, Ashkan; Yavari, Arash On the stress field of a nonlinear elastic solid torus with a toroidal inclusion. (English) Zbl 1373.74018 J. Elasticity 128, No. 1, 115-145 (2017). MSC: 74B20 70G45 70H09 35Q74 74Fxx PDFBibTeX XMLCite \textit{A. Golgoon} and \textit{A. Yavari}, J. Elasticity 128, No. 1, 115--145 (2017; Zbl 1373.74018) Full Text: DOI
Yavari, Arash; Ozakin, Arkadas; Sadik, Souhayl Nonlinear elasticity in a deforming ambient space. (English) Zbl 1383.74015 J. Nonlinear Sci. 26, No. 6, 1651-1692 (2016). MSC: 74B20 74A05 PDFBibTeX XMLCite \textit{A. Yavari} et al., J. Nonlinear Sci. 26, No. 6, 1651--1692 (2016; Zbl 1383.74015) Full Text: DOI
Sadik, Souhayl; Angoshtari, Arzhang; Goriely, Alain; Yavari, Arash A geometric theory of nonlinear morphoelastic shells. (English) Zbl 1388.74071 J. Nonlinear Sci. 26, No. 4, 929-978 (2016). MSC: 74K25 53Z05 74B20 PDFBibTeX XMLCite \textit{S. Sadik} et al., J. Nonlinear Sci. 26, No. 4, 929--978 (2016; Zbl 1388.74071) Full Text: DOI Link
Yavari, Arash; Goriely, Alain Non-metricity and the nonlinear mechanics of distributed point defects. (English) Zbl 1325.74020 Chen, Gui-Qiang G. (ed.) et al., Differential geometry and continuum mechanics. Proceedings of the ICMS workshop, Edinburgh, UK, June 17–21, 2013. Cham: Springer (ISBN 978-3-319-18572-9/hbk; 978-3-319-18573-6/ebook). Springer Proceedings in Mathematics & Statistics 137, 235-251 (2015). MSC: 74A60 53C80 53Z05 PDFBibTeX XMLCite \textit{A. Yavari} and \textit{A. Goriely}, Springer Proc. Math. Stat. 137, 235--251 (2015; Zbl 1325.74020) Full Text: DOI
Yavari, Arash; Goriely, Alain The geometry of discombinations and its applications to semi-inverse problems in anelasticity. (English) Zbl 1320.74023 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2169, Article ID 20140403, 21 p. (2014). MSC: 74B20 53A35 74A45 PDFBibTeX XMLCite \textit{A. Yavari} and \textit{A. Goriely}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 470, No. 2169, Article ID 20140403, 21 p. (2014; Zbl 1320.74023) Full Text: DOI
Angoshtari, Arzhang; Yavari, Arash A geometric structure-preserving discretization scheme for incompressible linearized elasticity. (English) Zbl 1286.74017 Comput. Methods Appl. Mech. Eng. 259, 130-153 (2013). MSC: 74B15 65N30 74S05 PDFBibTeX XMLCite \textit{A. Angoshtari} and \textit{A. Yavari}, Comput. Methods Appl. Mech. Eng. 259, 130--153 (2013; Zbl 1286.74017) Full Text: DOI
Yavari, Arash Compatibility equations of nonlinear elasticity for non-simply-connected bodies. (English) Zbl 1286.35235 Arch. Ration. Mech. Anal. 209, No. 1, 237-253 (2013). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 35Q74 74B20 74B05 PDFBibTeX XMLCite \textit{A. Yavari}, Arch. Ration. Mech. Anal. 209, No. 1, 237--253 (2013; Zbl 1286.35235) Full Text: DOI
Yavari, Arash; Goriely, Alain Riemann-Cartan geometry of nonlinear dislocation mechanics. (English) Zbl 1281.74006 Arch. Ration. Mech. Anal. 205, No. 1, 59-118 (2012). MSC: 74A60 53Z05 PDFBibTeX XMLCite \textit{A. Yavari} and \textit{A. Goriely}, Arch. Ration. Mech. Anal. 205, No. 1, 59--118 (2012; Zbl 1281.74006) Full Text: DOI
Yavari, Arash A geometric theory of growth mechanics. (English) Zbl 1428.74157 J. Nonlinear Sci. 20, No. 6, 781-830 (2010). MSC: 74L15 53Z05 74A15 PDFBibTeX XMLCite \textit{A. Yavari}, J. Nonlinear Sci. 20, No. 6, 781--830 (2010; Zbl 1428.74157) Full Text: DOI arXiv
Yavari, Arash; Marsden, Jerrold E.; Ortiz, Michael On spatial and material covariant balance laws in elasticity. (English) Zbl 1111.74004 J. Math. Phys. 47, No. 4, 042903, 53 p. (2006). MSC: 74B99 53Z05 PDFBibTeX XMLCite \textit{A. Yavari} et al., J. Math. Phys. 47, No. 4, 042903, 53 p. (2006; Zbl 1111.74004) Full Text: DOI Link