Pruchnicki, Erick; Chen, Xiaoyi; Dai, Hui-Hui A novel reduced model for a linearized anisotropic rod with doubly symmetric a cross-section. I: Theory. (English) Zbl 07601718 Math. Mech. Solids 27, No. 8, 1455-1479 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{E. Pruchnicki} et al., Math. Mech. Solids 27, No. 8, 1455--1479 (2022; Zbl 07601718) Full Text: DOI
Chen, Xiaoyi; Pruchnicki, Erick; Dai, Hui-Hui; Yu, Xiang A uniform framework for the dynamic behavior of linearized anisotropic elastic rods. (English) Zbl 07601717 Math. Mech. Solids 27, No. 8, 1429-1454 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Mech. Solids 27, No. 8, 1429--1454 (2022; Zbl 07601717) Full Text: DOI
Wang, Fan-Fan; Dai, Hui-Hui; Giorgio, Ivan A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: clamped rectangular incompressible elastic plates. (English) Zbl 07601714 Math. Mech. Solids 27, No. 8, 1370-1396 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{F.-F. Wang} et al., Math. Mech. Solids 27, No. 8, 1370--1396 (2022; Zbl 07601714) Full Text: DOI
Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick On a consistent rod theory for a linearized anisotropic elastic material. II: Verification and parametric study. (English) Zbl 07601670 Math. Mech. Solids 27, No. 4, 687-710 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Mech. Solids 27, No. 4, 687--710 (2022; Zbl 07601670) Full Text: DOI
Gu, Diandian; Dai, Hui-Hui; Xu, Fan Buckling of an elastic layer based on implicit constitution: incremental theory and numerical framework. (English) Zbl 07444785 Int. J. Eng. Sci. 169, Article ID 103568, 17 p. (2021). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{D. Gu} et al., Int. J. Eng. Sci. 169, Article ID 103568, 17 p. (2021; Zbl 07444785) 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
Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick On a consistent rod theory for a linearized anisotropic elastic material. I: Asymptotic reduction method. (English) Zbl 07357399 Math. Mech. Solids 26, No. 2, 217-229 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Mech. Solids 26, No. 2, 217--229 (2021; Zbl 07357399) Full Text: DOI
Yu, Xiang; Fu, Yibin; Dai, Hui-Hui A refined dynamic finite-strain shell theory for incompressible hyperelastic materials: equations and two-dimensional shell virtual work principle. (English) Zbl 1472.74026 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2237, Article ID 20200031, 24 p. (2020). MSC: 74B20 74K25 PDFBibTeX XMLCite \textit{X. Yu} et al., Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2237, Article ID 20200031, 24 p. (2020; Zbl 1472.74026) Full Text: DOI arXiv Link
Pruchnicki, Erick; Dai, Hui-Hui New refined models for curved beams in both linear and nonlinear settings. (English) Zbl 07254354 Math. Mech. Solids 24, No. 7, 2295-2319 (2019). MSC: 74-XX PDFBibTeX XMLCite \textit{E. Pruchnicki} and \textit{H.-H. Dai}, Math. Mech. Solids 24, No. 7, 2295--2319 (2019; Zbl 07254354) Full Text: DOI
Wang, Jiong; Steigmann, David; Wang, Fan-Fan; Dai, Hui-Hui On a consistent finite-strain plate theory of growth. (English) Zbl 1441.74109 J. Mech. Phys. Solids 111, 184-214 (2018). MSC: 74K20 74B99 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Mech. Phys. Solids 111, 184--214 (2018; Zbl 1441.74109) Full Text: DOI
Song, Zilong; Dai, Hui-Hui On a consistent dynamic finite-strain plate theory and its linearization. (English) Zbl 1349.74248 J. Elasticity 125, No. 2, 149-183 (2016). MSC: 74K20 74B20 74H10 PDFBibTeX XMLCite \textit{Z. Song} and \textit{H.-H. Dai}, J. Elasticity 125, No. 2, 149--183 (2016; Zbl 1349.74248) Full Text: DOI
Dai, Hui-Hui; Wang, Fan Fan; Wang, Jiong; Xu, Jian Pitchfork and octopus bifurcations in a hyperelastic tube subjected to compression: analytical post-bifurcation solutions and imperfection sensitivity. (English) Zbl 1327.74064 Math. Mech. Solids 20, No. 1, 25-52 (2015). MSC: 74G60 74B20 74G10 PDFBibTeX XMLCite \textit{H.-H. Dai} et al., Math. Mech. Solids 20, No. 1, 25--52 (2015; Zbl 1327.74064) Full Text: DOI Link
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
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