Silambarasan, Rathinavel; Kılıçman, Adem Solitons of dispersive wave steered from Navier-Bernoulli and Love’s hypothesis in cylindrical elastic rod with compressible Murnaghan’s materials. (English) Zbl 07594655 Math. Comput. Simul. 203, 699-720 (2023). MSC: 35-XX 74-XX PDFBibTeX XMLCite \textit{R. Silambarasan} and \textit{A. Kılıçman}, Math. Comput. Simul. 203, 699--720 (2023; Zbl 07594655) Full Text: DOI arXiv
Silambarasan, R.; Baskonus, H. M.; Vijay Anand, R.; Santra, A. K.; Balusamy, B.; Gao, Wei Weakly nonlinear waves propagating in hyperelastic cylindrical rod tranquility of compressible Murnaghan material. (English) Zbl 1511.35343 Comput. Math. Model. 33, No. 2, 136-172 (2022). MSC: 35Q74 35Q53 74C05 74K10 74B10 74B20 35C08 33E05 PDFBibTeX XMLCite \textit{R. Silambarasan} et al., Comput. Math. Model. 33, No. 2, 136--172 (2022; Zbl 1511.35343) Full Text: DOI
Fu, Chenbo; Cheng, Zhe; Wang, Ting; Xu, Fan An asymptotic modeling and resolution framework for morphology evolutions of multiple-period post-buckling modes in bilayers. (English) Zbl 07601715 Math. Mech. Solids 27, No. 8, 1397-1411 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{C. Fu} et al., Math. Mech. Solids 27, No. 8, 1397--1411 (2022; Zbl 07601715) Full Text: DOI
Fu, Chenbo; Dai, Hui-Hui; Xu, Fan Computing wrinkling and restabilization of stretched sheets based on a consistent finite-strain plate theory. (English) Zbl 1506.74196 Comput. Methods Appl. Mech. Eng. 384, Article ID 113986, 17 p. (2021). MSC: 74K35 74K20 PDFBibTeX XMLCite \textit{C. Fu} et al., Comput. Methods Appl. Mech. Eng. 384, Article ID 113986, 17 p. (2021; Zbl 1506.74196) Full Text: DOI
Garbuzov, F. E.; Beltukov, Y. M.; Khusnutdinova, K. R. Longitudinal bulk strain solitons in a hyperelastic rod with quadratic and cubic nonlinearities. (English. Russian original) Zbl 1440.74182 Theor. Math. Phys. 202, No. 3, 319-333 (2020); translation from Teor. Mat. Fiz. 202, No. 3, 364-381 (2020). MSC: 74K10 74B20 35Q74 PDFBibTeX XMLCite \textit{F. E. Garbuzov} et al., Theor. Math. Phys. 202, No. 3, 319--333 (2020; Zbl 1440.74182); translation from Teor. Mat. Fiz. 202, No. 3, 364--381 (2020) Full Text: DOI arXiv
Salupere, Andrus; Rätsep, Margus On solitonic solutions for the hyperelastic rod equation. (English) Zbl 1524.74066 Wave Motion 91, Article ID 102404, 8 p. (2019). MSC: 74B20 74K10 35Q53 35Q51 PDFBibTeX XMLCite \textit{A. Salupere} and \textit{M. Rätsep}, Wave Motion 91, Article ID 102404, 8 p. (2019; Zbl 1524.74066) Full Text: DOI
Garbuzov, F. E.; Khusnutdinova, K. R.; Semenova, I. V. On Boussinesq-type models for long longitudinal waves in elastic rods. (English) Zbl 1524.74201 Wave Motion 88, 129-143 (2019). MSC: 74J10 74J30 PDFBibTeX XMLCite \textit{F. E. Garbuzov} et al., Wave Motion 88, 129--143 (2019; Zbl 1524.74201) Full Text: DOI arXiv
Khusnutdinova, K. R.; Tranter, M. R. Weakly-nonlinear solution of coupled Boussinesq equations and radiating solitary waves. (English) Zbl 1429.35180 Altenbach, Holm (ed.) et al., Dynamical processes in generalized continua and structures. Dedicated to Dmitry Anatol’evich Indeitsev on the occasion to his 70th birthday. Cham: Springer. Adv. Struct. Mater. 103, 321-343 (2019). MSC: 35Q53 PDFBibTeX XMLCite \textit{K. R. Khusnutdinova} and \textit{M. R. Tranter}, Adv. Struct. Mater. 103, 321--343 (2019; Zbl 1429.35180) Full Text: DOI arXiv
Wang, Fan-Fan; Wang, Yuanbin Buckling and post-buckling of a compressible slab under combined axial compression and lateral load. (English) Zbl 07777507 ZAMM, Z. Angew. Math. Mech. 97, No. 6, 686-698 (2017). MSC: 74Gxx 74Bxx 74Kxx PDFBibTeX XMLCite \textit{F.-F. Wang} and \textit{Y. Wang}, ZAMM, Z. Angew. Math. Mech. 97, No. 6, 686--698 (2017; Zbl 07777507) Full Text: DOI
Wang, Jiong; Steinmann, Paul; Dai, Hui-Hui Analytical study on the stress-induced phase or variant transformation in slender shape memory alloy samples. (English) Zbl 1293.74339 Meccanica 48, No. 4, 943-970 (2013). MSC: 74N05 74M05 74G10 PDFBibTeX XMLCite \textit{J. Wang} et al., Meccanica 48, No. 4, 943--970 (2013; Zbl 1293.74339) Full Text: DOI
Vallikivi, Margit; Salupere, Andrus; Dai, Hui-Hui Numerical simulation of propagation of solitary deformation waves in a compressible hyperelastic rod. (English) Zbl 1348.74182 Math. Comput. Simul. 82, No. 7, 1348-1362 (2012). MSC: 74J35 35C08 74S25 PDFBibTeX XMLCite \textit{M. Vallikivi} et al., Math. Comput. Simul. 82, No. 7, 1348--1362 (2012; Zbl 1348.74182) Full Text: DOI
Dai, Hui-Hui; Cai, Zongxi An analytical study on the instability phenomena during the phase transitions in a thin strip under uniaxial tension. (English) Zbl 1244.74056 J. Mech. Phys. Solids 60, No. 4, 691-710 (2012). MSC: 74G60 35Q74 74G10 74-05 35B35 PDFBibTeX XMLCite \textit{H.-H. Dai} and \textit{Z. Cai}, J. Mech. Phys. Solids 60, No. 4, 691--710 (2012; Zbl 1244.74056) Full Text: DOI arXiv
Dai, Hui-Hui; Peng, Xiaochun Weakly nonlinear long waves in a prestretched Blatz-Ko cylinder: solitary, kink and periodic waves. (English) Zbl 1365.35135 Wave Motion 48, No. 8, 761-772 (2011). MSC: 35Q53 35Q74 35C20 35B10 74K10 PDFBibTeX XMLCite \textit{H.-H. Dai} and \textit{X. Peng}, Wave Motion 48, No. 8, 761--772 (2011; Zbl 1365.35135) Full Text: DOI
Wang, Jiong; Dai, Hui-Hui Phase transitions induced by extension in a slender SMA cylinder: analytical solutions for the hysteresis loop based on a quasi-3D continuum model. (English) Zbl 1452.74093 Int. J. Plast. 26, No. 4, 467-487 (2010). MSC: 74N30 74C15 PDFBibTeX XMLCite \textit{J. Wang} and \textit{H.-H. Dai}, Int. J. Plast. 26, No. 4, 467--487 (2010; Zbl 1452.74093) Full Text: DOI
Dai, Hui-Hui; Wang, Jiong Instabilities induced by phase transformation fronts coalescence during the phase transitions in a thin SMA layer: mechanism and analytical descriptions. (English) Zbl 1231.74344 Int. J. Eng. Sci. 48, No. 11, 1146-1163 (2010). MSC: 74N20 74G10 PDFBibTeX XMLCite \textit{H.-H. Dai} and \textit{J. Wang}, Int. J. Eng. Sci. 48, No. 11, 1146--1163 (2010; Zbl 1231.74344) Full Text: DOI arXiv
Dai, Hui-Hui; Hao, Yanhong; Chen, Zhen On constructing the analytical solutions for localizations in a slender cylinder composed of an incompressible hyperelastic material. (English) Zbl 1169.74343 Int. J. Solids Struct. 45, No. 9, 2613-2628 (2008). MSC: 74B20 74G10 PDFBibTeX XMLCite \textit{H.-H. Dai} et al., Int. J. Solids Struct. 45, No. 9, 2613--2628 (2008; Zbl 1169.74343) Full Text: DOI arXiv
Zhang, Shan-Yuan; Liu, Zhi-Fang Three kinds of nonlinear dispersive waves in elastic rods with finite deformation. (English) Zbl 1231.74278 Appl. Math. Mech., Engl. Ed. 29, No. 7, 909-917 (2008). MSC: 74K10 74J30 PDFBibTeX XMLCite \textit{S.-Y. Zhang} and \textit{Z.-F. Liu}, Appl. Math. Mech., Engl. Ed. 29, No. 7, 909--917 (2008; Zbl 1231.74278) Full Text: DOI
Dai, Hui-Hui; Huo, Yi Solitary waves in a slender tube composed of an incompressible nonlinear elastic material. (English) Zbl 1137.74031 Comput. Math. Appl. 55, No. 4, 620-635 (2008). MSC: 74J35 74B20 PDFBibTeX XMLCite \textit{H.-H. Dai} and \textit{Y. Huo}, Comput. Math. Appl. 55, No. 4, 620--635 (2008; Zbl 1137.74031) Full Text: DOI
Dai, Hui-Hui; Wang, Fan-Fan On a three-dimensional axisymmetric boundary-value problem of nonlinear elastic deformation: asymptotic solution and exponentially small error. (English) Zbl 1213.74050 Int. J. Eng. Sci. 45, No. 12, 951-967 (2007). MSC: 74B10 PDFBibTeX XMLCite \textit{H.-H. Dai} and \textit{F.-F. Wang}, Int. J. Eng. Sci. 45, No. 12, 951--967 (2007; Zbl 1213.74050) Full Text: DOI
Dai, Hui-Hui; Wang, Fan-Fan Corner instabilities in a slender nonlinearly elastic cylinder: analytical solutions and formation mechanism. (English) Zbl 1116.74016 C. R., Math., Acad. Sci. Paris 345, No. 1, 55-58 (2007). MSC: 74G60 74B20 PDFBibTeX XMLCite \textit{H.-H. Dai} and \textit{F.-F. Wang}, C. R., Math., Acad. Sci. Paris 345, No. 1, 55--58 (2007; Zbl 1116.74016) Full Text: DOI
Dai, Hui-Hui; Cai, Zongxi Phase transitions in a slender cylinder composed of an incompressible elastic material. I: Asymptotic model equation. (English) Zbl 1149.74384 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2065, 75-95 (2006). MSC: 74N99 PDFBibTeX XMLCite \textit{H.-H. Dai} and \textit{Z. Cai}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 462, No. 2065, 75--95 (2006; Zbl 1149.74384) Full Text: DOI
Dai, Hui-Hui Non-existence of one-dimensional stress problems in solid-solid phase transitions and uniqueness conditions for incompressible phase-transforming materials. (English) Zbl 1149.74383 C. R., Math., Acad. Sci. Paris 338, No. 12, 981-984 (2004). MSC: 74N99 PDFBibTeX XMLCite \textit{H.-H. Dai}, C. R., Math., Acad. Sci. Paris 338, No. 12, 981--984 (2004; Zbl 1149.74383) Full Text: DOI