Edit Profile (opens in new tab) Dai, Hui-Hui Co-Author Distance Author ID: dai.hui-hui Published as: Dai, Hui-Hui; Dai, H. H.; Dai, H.-H. more...less External Links: MGP · dblp · GND Documents Indexed: 95 Publications since 1988, including 1 Book and 1 Additional arXiv Preprint 3 Contributions as Editor Biographic References: 1 Publication Co-Authors: 31 Co-Authors with 61 Joint Publications 1,196 Co-Co-Authors all top 5 Co-Authors 11 single-authored 9 Wang, Fanfan 8 Wang, Jiong 7 Chen, Xiaoyi 6 Pruchnicki, Erick 5 Cai, Zongxi 5 Huo, Yi 5 Jeffrey, Alan P. 5 Song, Zilong 5 Su, Ting 3 Peng, Xiaochun 3 Wong, Roderick Sue-Chuen 2 Bi, Qinsheng 2 Chen, Zhen 2 Han, Deren 2 Hill, James Murray 2 Huang, Debin 2 Li, Yishen 2 Qi, Liqun 2 Wang, Yuesheng 2 Yu, Guilan 2 Zhao, Xiaohua 1 Chung, Kwok-Wai 1 Ciarlet, Philippe Gaston 1 Ciarletta, Pasquale 1 Cohen, Harley 1 Dai, Dan 1 Dai, Shiqiang 1 Ding, Guohua 1 Fan, Xiaojun 1 Fu, Chenbo 1 Fu, Yibin 1 Geng, Xianguo 1 Giorgio, Ivan 1 Gu, Diandian 1 Hao, Yanhong 1 Huang, Shoujun 1 Jiang, Jinfeng 1 Kaplunov, Julius D. 1 Kong, Dexing 1 Li, Yuanyou 1 Liu, Yang 1 Liu, Zengrong 1 Naylor, Derek 1 Padukka, Nilmini 1 Pavlov, Maxim V. 1 Prikazchikov, Danila A. 1 Rui, Bo 1 Sachdev, P. L. 1 Salupere, Andrus 1 Steigmann, David J. 1 Steinmann, Paul 1 Taffetani, Matteo 1 Ting, Su 1 Vallikivi, Margit 1 Wang, Yuanbin 1 Xu, Jian 1 Xu, Yan 1 Zhang, Qiang 1 Zhu, Pingping 1 Zhu, Xiaowu all top 5 Serials 11 Mathematics and Mechanics of Solids 10 Wave Motion 7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 International Journal of Engineering Science 5 Journal of Elasticity 4 Acta Mechanica 3 IMA Journal of Applied Mathematics 3 Journal of the Mechanics and Physics of Solids 3 SIAM Journal on Applied Mathematics 3 Journal of the Physical Society of Japan 2 Applicable Analysis 2 International Journal of Non-Linear Mechanics 2 Physics Letters. A 2 Quarterly Journal of Mechanics and Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Analysis and Applications (Singapore) 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Plasticity 1 International Journal of Solids and Structures 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Journal of Computational and Applied Mathematics 1 Mathematics and Computers in Simulation 1 Meccanica 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Analysis 1 Journal of Physics A: Mathematical and General 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Archive of Applied Mechanics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Mathematical Problems in Engineering 1 Discrete and Continuous Dynamical Systems. Series B 1 Advances in Difference Equations 1 Pitman Research Notes in Mathematics Series 1 Acta Mechanica Sinica 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Proceedings of the Estonian Academy of Sciences 1 Advances in Mathematical Physics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 71 Mechanics of deformable solids (74-XX) 23 Partial differential equations (35-XX) 11 Fluid mechanics (76-XX) 10 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 5 Integral transforms, operational calculus (44-XX) 4 Ordinary differential equations (34-XX) 3 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 482 times in 323 Documents Cited by ▼ Year ▼ Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod. Zbl 0910.73036 Dai, H.-H. 254 1998 Solitary shock waves and other travelling waves in a general compressible hyperelastic rod. Zbl 1004.74046 Dai, Hui-Hui; Huo, Yi 84 2000 Conditions for strong ellipticity and M-eigenvalues. Zbl 1233.74004 Qi, Liqun; Dai, Hui-Hui; Han, Deren 62 2009 Conditions for strong ellipticity of anisotropic elastic materials. Zbl 1252.74006 Han, Deren; Dai, H. H.; Qi, Liqun 54 2009 Transformations for the Camassa-Holm equation, its high-frequency limit and the Sinh-Gordon equation. Zbl 0946.35082 Dai, Hui-Hui; Pavlov, Maxim 42 1998 Buckling analysis of Euler-Bernoulli beams using Eringen’s two-phase nonlocal model. Zbl 1423.74360 Zhu, Xiaowu; Wang, Yuanbin; Dai, Hui-Hui 42 2017 Handbook of mathematical formulas and integrals. 4th ed. Zbl 1139.00004 Jeffrey, Alan; Dai, Hui-Hui 40 2008 Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods. Zbl 1074.74541 Dai, H.-H. 36 1998 Asymptotically approximate model equations for weakly nonlinear long waves in compressible elastic rods and their comparisons with other simplified model equations. Zbl 1167.74464 Dai, Hui-Hui; Fan, Xiaojun 22 2004 Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods. Zbl 1205.74081 Dai, H.-H.; Huo, Y. 22 2002 A long-wave model for the surface elastic wave in a coated half-space. Zbl 1211.74126 Dai, H.-H.; Kaplunov, J.; Prikazchikov, D. A. 21 2010 Phase transitions in a slender cylinder composed of an incompressible elastic material. I: Asymptotic model equation. Zbl 1149.74384 Dai, Hui-Hui; Cai, Zongxi 19 2006 Solitary waves in an inhomogeneous rod composed of a general hyperelastic material. Zbl 1120.76304 Dai, Hui-Hui; Huo, Yi 16 2002 Nonlinear axisymmetric waves in compressible hyperelastic rods: Long finite amplitude waves. Zbl 0788.73025 Cohen, H.; Dai, H.-H. 12 1993 On a consistent dynamic finite-strain plate theory and its linearization. Zbl 1349.74248 Song, Zilong; Dai, Hui-Hui 12 2016 Invariant tori and chaotic streamlines in the ABC flow. Zbl 0959.76015 Huang, De-Bin; Zhao, Xiao-Hua; Dai, Hui-Hui 11 1998 Phase transitions in a slender cylinder composed of an incompressible elastic material. II: Analytical solutions for two boundary-value problems. Zbl 1149.74382 Cai, Zongxi; Dai, Hui-Hui 9 2006 An analytical study on the geometrical size effect on phase transitions in a slender compressible hyperelastic cylinder. Zbl 1203.74065 Dai, Hui-Hui; Wang, Jiong 8 2009 Asymptotic bifurcation solutions for compressions of a clamped nonlinearly elastic rectangle: transition region and barrelling to a corner-like profile. Zbl 1429.74020 Dai, Hui-Hui; Wang, Fan-Fan 7 2010 Phase transitions induced by extension in a slender SMA cylinder: analytical solutions for the hysteresis loop based on a quasi-3D continuum model. Zbl 1452.74093 Wang, Jiong; Dai, Hui-Hui 7 2010 Head-on collision between two solitary waves in a compressible Mooney-Rivlin elastic rod. Zbl 1074.74586 Dai, Hui-Hui; Dai, Shiqiang; Huo, Yi 7 2000 On constructing the analytical solutions for localizations in a slender cylinder composed of an incompressible hyperelastic material. Zbl 1169.74343 Dai, Hui-Hui; Hao, Yanhong; Chen, Zhen 7 2008 Nonlinear travelling waves in a rod composed of a modified Mooney-Rivlin material. I: Bifurcation of critical points and the non-singular case. Zbl 0958.74030 Dai, Hui-Hui; Zhao, Xiaohua 6 1999 The interaction of the \(\omega\)-soliton and \(\omega\)-cuspon of the Camassa-Holm equation. Zbl 1119.35073 Dai, Hui-Hui; Li, Yishen 6 2005 Analytical solutions for the post-buckling states of an incompressible hyperelastic layer. Zbl 1416.74034 Dai, Hui-Hui; Wang, Fanfan 5 2012 Elliptic-spline solutions for large localizations in a circular Blatz-Ko cylinder due to geometric softening. Zbl 1319.74004 Dai, Hui-Hui; Peng, Xiaochun 5 2012 Non-existence of one-dimensional stress problems in solid-solid phase transitions and uniqueness conditions for incompressible phase-transforming materials. Zbl 1149.74383 Dai, Hui-Hui 5 2004 Singular dynamics with application to singular waves in physical problems. Zbl 1063.37020 Dai, Hui-Hui; Huang, Debin; Liu, Zengrong 5 2004 A refined dynamic finite-strain shell theory for incompressible hyperelastic materials: equations and two-dimensional shell virtual work principle. Zbl 1472.74026 Yu, Xiang; Fu, Yibin; Dai, Hui-Hui 5 2020 Exact solutions for the large axially symmetric deformations of a neo-Hookean rod subjected to static loads. Zbl 1009.74032 Dai, Hui-Hui; Bi, Qinsheng 4 2001 On constructing the unique solution for the necking in a hyperelastic rod. Zbl 1124.74028 Dai, Hui-Hui; Bi, Qinsheng 4 2006 An analytical study on the instability phenomena during the phase transitions in a thin strip under uniaxial tension. Zbl 1244.74056 Dai, Hui-Hui; Cai, Zongxi 4 2012 Pitchfork and octopus bifurcations in a hyperelastic tube subjected to compression: analytical post-bifurcation solutions and imperfection sensitivity. Zbl 1327.74064 Dai, Hui-Hui; Wang, Fan Fan; Wang, Jiong; Xu, Jian 4 2015 Pointwise error estimate for a consistent beam theory. Zbl 1375.74011 Chen, Xiaoyi; Song, Zilong; Dai, Hui-Hui 4 2018 Buckling of an elastic layer based on implicit constitution: incremental theory and numerical framework. Zbl 07444785 Gu, Diandian; Dai, Hui-Hui; Xu, Fan 4 2021 Asymptotic bifurcation analysis and post-buckling for uniaxial compression of a thin incompressible hyperelastic rectangle. Zbl 1425.74090 Wang, Fan-Fan; Dai, Hui-Hui 4 2010 A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: clamped rectangular incompressible elastic plates. Zbl 07601714 Wang, Fan-Fan; Dai, Hui-Hui; Giorgio, Ivan 4 2022 Compression of a hyperelastic layer-substrate structure: transitions between buckling and surface modes. Zbl 1423.74528 Liu, Yang; Dai, Hui-Hui 4 2014 Exact solutions of a variable-coefficient KdV equation arising in a shallow water. Zbl 0944.35079 Dai, Hui-Hui 3 1999 Transmission of elastic waves through a frictional contact interface between two anisotropic dissimilar media. Zbl 1163.74459 Wang, Yue-Sheng; Yu, Gui-Lan; Dai, Hui-Hui 3 2003 Uniform asymptotic analysis for waves in an incompressible elastic rod. II: Disturbances superimposed on a pre-stressed state. Zbl 0930.74029 Dai, Hui-Hui; Cai, Zongxi 3 1999 On an asymptotic expansion of Fourier integrals. Zbl 0752.42006 Dai, H. H.; Naylor, D. 3 1992 On the application of a generalized version of the dressing method to the integration of variable coefficient KdV equations. Zbl 0748.35040 Jeffrey, A.; Dai, H. H. 3 1990 The generalized dressing method with applications to the integration of variable-coefficient Toda equations. Zbl 1196.35181 Dai, Hui-Hui; Su, Ting 3 2010 On a consistent finite-strain plate theory of growth. Zbl 1441.74109 Wang, Jiong; Steigmann, David; Wang, Fan-Fan; Dai, Hui-Hui 3 2018 On a consistent dynamic finite-strain shell theory and its linearization. Zbl 07254357 Song, Zilong; Wang, Jiong; Dai, Hui-Hui 3 2019 Swelling and instability of a gel annulus. Zbl 1345.74015 Chen, Xiaoyi; Dai, Hui-Hui 3 2015 On the application of a generalized dressing method to the integration of variable-coefficient coupled Hirota equations. Zbl 1304.37053 Su, Ting; Dai, Hui-Hui; Geng, Xianguo 3 2009 On a consistent rod theory for a linearized anisotropic elastic material. I: Asymptotic reduction method. Zbl 07357399 Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick 3 2021 Theta function solutions of the 3 + 1-dimensional Jimbo-Miwa equation. Zbl 1426.35207 Su, Ting; Dai, Hui-Hui 3 2017 Closed-form solutions for inhomogeneous states of a slender 3-D SMA cylinder undergoing stress-induced phase transitions. Zbl 1423.74725 Song, Zilong; Dai, Hui-Hui 3 2015 Bifurcation to a corner-like formation in a slender nonlinearly elastic cylinder: Asymptotic solution and mechanism. Zbl 1143.35380 Dai, Hui-Hui; Wang, Fan-Fan 2 2008 Numerical simulation of propagation of solitary deformation waves in a compressible hyperelastic rod. Zbl 1348.74182 Vallikivi, Margit; Salupere, Andrus; Dai, Hui-Hui 2 2012 A uniform asymptotic expansion for the shear-wave front in a layer. Zbl 0926.74043 Dai, H.-H.; Wong, R. 2 1994 Nonlinear plane waves in finite deformable infinite Mooney elastic materials. Zbl 1089.74588 Hill, James M.; Dai, Hui-Hui 2 2002 Multi-soliton and multi-cuspon solutions of a Camassa-Holm hierarchy and their interactions. Zbl 1155.35080 Dai, Hui-Hui; Li, Yishen; Su, Ting 2 2009 Analytical study on the stress-induced phase or variant transformation in slender shape memory alloy samples. Zbl 1293.74339 Wang, Jiong; Steinmann, Paul; Dai, Hui-Hui 2 2013 Mathematical theory and analytical solutions for the wave catching-up phenomena in a nonlinearly elastic composite bar. Zbl 1371.74043 Huang, Shou-Jun; Dai, Hui-Hui; Chen, Zhen; Kong, De-Xing 2 2012 On a consistent finite-strain shell theory for incompressible hyperelastic materials. Zbl 1445.74042 Li, Yuanyou; Dai, Hui-Hui; Wang, Jiong 2 2019 Stress-free configurations induced by a family of locally incompatible growth functions. Zbl 1441.92006 Chen, Xiaoyi; Dai, Hui-Hui 2 2020 On the reflection of a solitary wave at a sloping beach: Analytical results. Zbl 0662.76027 Jeffrey, A.; Dai, H. H. 1 1988 Asymptotic axially symmetric deformations for perfectly elastic neo-Hookean and Mooney materials. Zbl 1168.74014 Hill, James M.; Padukka, Nilmini; Dai, Hui-Hui 1 2007 Corner instabilities in a slender nonlinearly elastic cylinder: analytical solutions and formation mechanism. Zbl 1116.74016 Dai, Hui-Hui; Wang, Fan-Fan 1 2007 Uniform asymptotic analysis for transient waves in a pre-stressed compressible hyperelastic rod. Zbl 0982.74038 Dai, H.-H.; Cai, Z. 1 2000 Uniform asymptotic analysis for waves in an incompressible elastic rod. I: Disturbances superimposed on an initially stress-free state. Zbl 0911.73034 Dai, H.-H. 1 1997 Instabilities induced by phase transformation fronts coalescence during the phase transitions in a thin SMA layer: mechanism and analytical descriptions. Zbl 1231.74344 Dai, Hui-Hui; Wang, Jiong 1 2010 On the general asymptotic expansions of \(K_ \nu{}\)-transforms. Zbl 0788.41018 Dai, H. H. 1 1992 Nonlocal elasticity and dislocation image force due to cracks. Zbl 0982.74012 Pan, K.-L.; Dai, H.-H. 1 2001 Nonlinear dispersive waves in a circular rod composed of a Mooney-Rivlin material. Zbl 1013.74042 Dai, Hui-Hui 1 2001 A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar. Zbl 1349.74325 Jiang, Jinfeng; Xu, Yan; Dai, Hui-Hui 1 2014 On a three-dimensional axisymmetric boundary-value problem of nonlinear elastic deformation: asymptotic solution and exponentially small error. Zbl 1213.74050 Dai, Hui-Hui; Wang, Fan-Fan 1 2007 New refined models for curved beams in both linear and nonlinear settings. Zbl 1425.74265 Pruchnicki, Erick; Dai, Hui-Hui 1 2019 On the derivation of an admissibility condition for phase boundary propagation in an SMA bar based on a 3-D formulation. Zbl 1524.74380 Zhu, Pingping; Dai, Hui-Hui 1 2020 New refined models for curved beams in both linear and nonlinear settings. Zbl 07254354 Pruchnicki, Erick; Dai, Hui-Hui 1 2019 On a consistent rod theory for a linearized anisotropic elastic material. II: Verification and parametric study. Zbl 07601670 Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick 1 2022 Computing wrinkling and restabilization of stretched sheets based on a consistent finite-strain plate theory. Zbl 1506.74196 Fu, Chenbo; Dai, Hui-Hui; Xu, Fan 1 2021 Bifurcations in a boundary-value problem of a nonlinear model for stress-induced phase transitions. Zbl 1258.35019 Chung, K. W.; Ng, K. T.; Dai, H.-H. 1 2011 Periodic-wave solutions of the two-dimensional Toda lattice equation by a direct method. Zbl 1419.35179 Ting, Su; Dai, Hui-hui; Ding, Guo-hua 1 2016 A numerical comparison of the uniformly valid asymptotic plate equations with a 3D model: clamped rectangular incompressible elastic plates. Zbl 07601714 Wang, Fan-Fan; Dai, Hui-Hui; Giorgio, Ivan 4 2022 On a consistent rod theory for a linearized anisotropic elastic material. II: Verification and parametric study. Zbl 07601670 Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick 1 2022 Buckling of an elastic layer based on implicit constitution: incremental theory and numerical framework. Zbl 07444785 Gu, Diandian; Dai, Hui-Hui; Xu, Fan 4 2021 On a consistent rod theory for a linearized anisotropic elastic material. I: Asymptotic reduction method. Zbl 07357399 Chen, Xiaoyi; Dai, Hui-Hui; Pruchnicki, Erick 3 2021 Computing wrinkling and restabilization of stretched sheets based on a consistent finite-strain plate theory. Zbl 1506.74196 Fu, Chenbo; Dai, Hui-Hui; Xu, Fan 1 2021 A refined dynamic finite-strain shell theory for incompressible hyperelastic materials: equations and two-dimensional shell virtual work principle. Zbl 1472.74026 Yu, Xiang; Fu, Yibin; Dai, Hui-Hui 5 2020 Stress-free configurations induced by a family of locally incompatible growth functions. Zbl 1441.92006 Chen, Xiaoyi; Dai, Hui-Hui 2 2020 On the derivation of an admissibility condition for phase boundary propagation in an SMA bar based on a 3-D formulation. Zbl 1524.74380 Zhu, Pingping; Dai, Hui-Hui 1 2020 On a consistent dynamic finite-strain shell theory and its linearization. Zbl 07254357 Song, Zilong; Wang, Jiong; Dai, Hui-Hui 3 2019 On a consistent finite-strain shell theory for incompressible hyperelastic materials. Zbl 1445.74042 Li, Yuanyou; Dai, Hui-Hui; Wang, Jiong 2 2019 New refined models for curved beams in both linear and nonlinear settings. Zbl 1425.74265 Pruchnicki, Erick; Dai, Hui-Hui 1 2019 New refined models for curved beams in both linear and nonlinear settings. Zbl 07254354 Pruchnicki, Erick; Dai, Hui-Hui 1 2019 Pointwise error estimate for a consistent beam theory. Zbl 1375.74011 Chen, Xiaoyi; Song, Zilong; Dai, Hui-Hui 4 2018 On a consistent finite-strain plate theory of growth. Zbl 1441.74109 Wang, Jiong; Steigmann, David; Wang, Fan-Fan; Dai, Hui-Hui 3 2018 Buckling analysis of Euler-Bernoulli beams using Eringen’s two-phase nonlocal model. Zbl 1423.74360 Zhu, Xiaowu; Wang, Yuanbin; Dai, Hui-Hui 42 2017 Theta function solutions of the 3 + 1-dimensional Jimbo-Miwa equation. Zbl 1426.35207 Su, Ting; Dai, Hui-Hui 3 2017 On a consistent dynamic finite-strain plate theory and its linearization. Zbl 1349.74248 Song, Zilong; Dai, Hui-Hui 12 2016 Periodic-wave solutions of the two-dimensional Toda lattice equation by a direct method. Zbl 1419.35179 Ting, Su; Dai, Hui-hui; Ding, Guo-hua 1 2016 Pitchfork and octopus bifurcations in a hyperelastic tube subjected to compression: analytical post-bifurcation solutions and imperfection sensitivity. Zbl 1327.74064 Dai, Hui-Hui; Wang, Fan Fan; Wang, Jiong; Xu, Jian 4 2015 Swelling and instability of a gel annulus. Zbl 1345.74015 Chen, Xiaoyi; Dai, Hui-Hui 3 2015 Closed-form solutions for inhomogeneous states of a slender 3-D SMA cylinder undergoing stress-induced phase transitions. Zbl 1423.74725 Song, Zilong; Dai, Hui-Hui 3 2015 Compression of a hyperelastic layer-substrate structure: transitions between buckling and surface modes. Zbl 1423.74528 Liu, Yang; Dai, Hui-Hui 4 2014 A dissipation-rate reserving DG method for wave catching-up phenomena in a nonlinearly elastic composite bar. Zbl 1349.74325 Jiang, Jinfeng; Xu, Yan; Dai, Hui-Hui 1 2014 Analytical study on the stress-induced phase or variant transformation in slender shape memory alloy samples. Zbl 1293.74339 Wang, Jiong; Steinmann, Paul; Dai, Hui-Hui 2 2013 Analytical solutions for the post-buckling states of an incompressible hyperelastic layer. Zbl 1416.74034 Dai, Hui-Hui; Wang, Fanfan 5 2012 Elliptic-spline solutions for large localizations in a circular Blatz-Ko cylinder due to geometric softening. Zbl 1319.74004 Dai, Hui-Hui; Peng, Xiaochun 5 2012 An analytical study on the instability phenomena during the phase transitions in a thin strip under uniaxial tension. Zbl 1244.74056 Dai, Hui-Hui; Cai, Zongxi 4 2012 Numerical simulation of propagation of solitary deformation waves in a compressible hyperelastic rod. Zbl 1348.74182 Vallikivi, Margit; Salupere, Andrus; Dai, Hui-Hui 2 2012 Mathematical theory and analytical solutions for the wave catching-up phenomena in a nonlinearly elastic composite bar. Zbl 1371.74043 Huang, Shou-Jun; Dai, Hui-Hui; Chen, Zhen; Kong, De-Xing 2 2012 Bifurcations in a boundary-value problem of a nonlinear model for stress-induced phase transitions. Zbl 1258.35019 Chung, K. W.; Ng, K. T.; Dai, H.-H. 1 2011 A long-wave model for the surface elastic wave in a coated half-space. Zbl 1211.74126 Dai, H.-H.; Kaplunov, J.; Prikazchikov, D. A. 21 2010 Asymptotic bifurcation solutions for compressions of a clamped nonlinearly elastic rectangle: transition region and barrelling to a corner-like profile. Zbl 1429.74020 Dai, Hui-Hui; Wang, Fan-Fan 7 2010 Phase transitions induced by extension in a slender SMA cylinder: analytical solutions for the hysteresis loop based on a quasi-3D continuum model. Zbl 1452.74093 Wang, Jiong; Dai, Hui-Hui 7 2010 Asymptotic bifurcation analysis and post-buckling for uniaxial compression of a thin incompressible hyperelastic rectangle. Zbl 1425.74090 Wang, Fan-Fan; Dai, Hui-Hui 4 2010 The generalized dressing method with applications to the integration of variable-coefficient Toda equations. Zbl 1196.35181 Dai, Hui-Hui; Su, Ting 3 2010 Instabilities induced by phase transformation fronts coalescence during the phase transitions in a thin SMA layer: mechanism and analytical descriptions. Zbl 1231.74344 Dai, Hui-Hui; Wang, Jiong 1 2010 Conditions for strong ellipticity and M-eigenvalues. Zbl 1233.74004 Qi, Liqun; Dai, Hui-Hui; Han, Deren 62 2009 Conditions for strong ellipticity of anisotropic elastic materials. Zbl 1252.74006 Han, Deren; Dai, H. H.; Qi, Liqun 54 2009 An analytical study on the geometrical size effect on phase transitions in a slender compressible hyperelastic cylinder. Zbl 1203.74065 Dai, Hui-Hui; Wang, Jiong 8 2009 On the application of a generalized dressing method to the integration of variable-coefficient coupled Hirota equations. Zbl 1304.37053 Su, Ting; Dai, Hui-Hui; Geng, Xianguo 3 2009 Multi-soliton and multi-cuspon solutions of a Camassa-Holm hierarchy and their interactions. Zbl 1155.35080 Dai, Hui-Hui; Li, Yishen; Su, Ting 2 2009 Handbook of mathematical formulas and integrals. 4th ed. Zbl 1139.00004 Jeffrey, Alan; Dai, Hui-Hui 40 2008 On constructing the analytical solutions for localizations in a slender cylinder composed of an incompressible hyperelastic material. Zbl 1169.74343 Dai, Hui-Hui; Hao, Yanhong; Chen, Zhen 7 2008 Bifurcation to a corner-like formation in a slender nonlinearly elastic cylinder: Asymptotic solution and mechanism. Zbl 1143.35380 Dai, Hui-Hui; Wang, Fan-Fan 2 2008 Asymptotic axially symmetric deformations for perfectly elastic neo-Hookean and Mooney materials. Zbl 1168.74014 Hill, James M.; Padukka, Nilmini; Dai, Hui-Hui 1 2007 Corner instabilities in a slender nonlinearly elastic cylinder: analytical solutions and formation mechanism. Zbl 1116.74016 Dai, Hui-Hui; Wang, Fan-Fan 1 2007 On a three-dimensional axisymmetric boundary-value problem of nonlinear elastic deformation: asymptotic solution and exponentially small error. Zbl 1213.74050 Dai, Hui-Hui; Wang, Fan-Fan 1 2007 Phase transitions in a slender cylinder composed of an incompressible elastic material. I: Asymptotic model equation. Zbl 1149.74384 Dai, Hui-Hui; Cai, Zongxi 19 2006 Phase transitions in a slender cylinder composed of an incompressible elastic material. II: Analytical solutions for two boundary-value problems. Zbl 1149.74382 Cai, Zongxi; Dai, Hui-Hui 9 2006 On constructing the unique solution for the necking in a hyperelastic rod. Zbl 1124.74028 Dai, Hui-Hui; Bi, Qinsheng 4 2006 The interaction of the \(\omega\)-soliton and \(\omega\)-cuspon of the Camassa-Holm equation. Zbl 1119.35073 Dai, Hui-Hui; Li, Yishen 6 2005 Asymptotically approximate model equations for weakly nonlinear long waves in compressible elastic rods and their comparisons with other simplified model equations. Zbl 1167.74464 Dai, Hui-Hui; Fan, Xiaojun 22 2004 Non-existence of one-dimensional stress problems in solid-solid phase transitions and uniqueness conditions for incompressible phase-transforming materials. Zbl 1149.74383 Dai, Hui-Hui 5 2004 Singular dynamics with application to singular waves in physical problems. Zbl 1063.37020 Dai, Hui-Hui; Huang, Debin; Liu, Zengrong 5 2004 Transmission of elastic waves through a frictional contact interface between two anisotropic dissimilar media. Zbl 1163.74459 Wang, Yue-Sheng; Yu, Gui-Lan; Dai, Hui-Hui 3 2003 Asymptotically approximate model equations for nonlinear dispersive waves in incompressible elastic rods. Zbl 1205.74081 Dai, H.-H.; Huo, Y. 22 2002 Solitary waves in an inhomogeneous rod composed of a general hyperelastic material. Zbl 1120.76304 Dai, Hui-Hui; Huo, Yi 16 2002 Nonlinear plane waves in finite deformable infinite Mooney elastic materials. Zbl 1089.74588 Hill, James M.; Dai, Hui-Hui 2 2002 Exact solutions for the large axially symmetric deformations of a neo-Hookean rod subjected to static loads. Zbl 1009.74032 Dai, Hui-Hui; Bi, Qinsheng 4 2001 Nonlocal elasticity and dislocation image force due to cracks. Zbl 0982.74012 Pan, K.-L.; Dai, H.-H. 1 2001 Nonlinear dispersive waves in a circular rod composed of a Mooney-Rivlin material. Zbl 1013.74042 Dai, Hui-Hui 1 2001 Solitary shock waves and other travelling waves in a general compressible hyperelastic rod. Zbl 1004.74046 Dai, Hui-Hui; Huo, Yi 84 2000 Head-on collision between two solitary waves in a compressible Mooney-Rivlin elastic rod. Zbl 1074.74586 Dai, Hui-Hui; Dai, Shiqiang; Huo, Yi 7 2000 Uniform asymptotic analysis for transient waves in a pre-stressed compressible hyperelastic rod. Zbl 0982.74038 Dai, H.-H.; Cai, Z. 1 2000 Nonlinear travelling waves in a rod composed of a modified Mooney-Rivlin material. I: Bifurcation of critical points and the non-singular case. Zbl 0958.74030 Dai, Hui-Hui; Zhao, Xiaohua 6 1999 Exact solutions of a variable-coefficient KdV equation arising in a shallow water. Zbl 0944.35079 Dai, Hui-Hui 3 1999 Uniform asymptotic analysis for waves in an incompressible elastic rod. II: Disturbances superimposed on a pre-stressed state. Zbl 0930.74029 Dai, Hui-Hui; Cai, Zongxi 3 1999 Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod. Zbl 0910.73036 Dai, H.-H. 254 1998 Transformations for the Camassa-Holm equation, its high-frequency limit and the Sinh-Gordon equation. Zbl 0946.35082 Dai, Hui-Hui; Pavlov, Maxim 42 1998 Exact travelling-wave solutions of an integrable equation arising in hyperelastic rods. Zbl 1074.74541 Dai, H.-H. 36 1998 Invariant tori and chaotic streamlines in the ABC flow. Zbl 0959.76015 Huang, De-Bin; Zhao, Xiao-Hua; Dai, Hui-Hui 11 1998 Uniform asymptotic analysis for waves in an incompressible elastic rod. I: Disturbances superimposed on an initially stress-free state. Zbl 0911.73034 Dai, H.-H. 1 1997 A uniform asymptotic expansion for the shear-wave front in a layer. Zbl 0926.74043 Dai, H.-H.; Wong, R. 2 1994 Nonlinear axisymmetric waves in compressible hyperelastic rods: Long finite amplitude waves. Zbl 0788.73025 Cohen, H.; Dai, H.-H. 12 1993 On an asymptotic expansion of Fourier integrals. Zbl 0752.42006 Dai, H. H.; Naylor, D. 3 1992 On the general asymptotic expansions of \(K_ \nu{}\)-transforms. Zbl 0788.41018 Dai, H. H. 1 1992 On the application of a generalized version of the dressing method to the integration of variable coefficient KdV equations. Zbl 0748.35040 Jeffrey, A.; Dai, H. H. 3 1990 On the reflection of a solitary wave at a sloping beach: Analytical results. Zbl 0662.76027 Jeffrey, A.; Dai, H. H. 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 463 Authors 27 Dai, Hui-Hui 14 Qi, Liqun 11 Prikazchikov, Danila A. 10 Chen, Haibin 9 Kaplunov, Julius D. 9 Wang, Jiong 9 Zhao, Jianxing 8 Coclite, Giuseppe Maria 8 Wang, Fanfan 7 Sang, Caili 7 Wang, Yiju 6 He, Jun 6 Yang, Qingzhi 6 Zhou, Guanglu 5 Che, Haitao 5 Fu, Yibin 5 Liu, Yanmin 5 Liu, Zhengrong 5 Long, Yao 5 Xu, Guangjun 5 Yin, Zhaoyang 4 Chen, Xiaoyi 4 Li, Chaoqian 4 Li, Suhua 4 Li, Yaotang 4 Pruchnicki, Erick 4 Su, Ting 4 Tian, Lixin 4 Wang, Gang 4 Yang, Yuning 4 Zhang, Chun-Yi 4 Zhang, Xinzhen 4 Zhou, Yong 3 Bhatti, Muhammad Mubashir 3 Brandolese, Lorenzo 3 Caccetta, Louis 3 Di Ruvo, Lorenzo 3 Erbaş, Bariş 3 Ferreira, Orizon Pereira 3 Gao, Yitian 3 Holden, Helge 3 Hu, ShengLong 3 Huang, Zheng-Hai 3 Karlsen, Kenneth Hvistendahl 3 Khusnutdinova, Karima Robertovna 3 Liu, Lixia 3 Meng, Xianghua 3 Mustafa, Octavian G. 3 Németh, Sándor Zoltán 3 Novruzov, Emil B. 3 Raynaud, Xavier 3 Rui, Weiguo 3 Sahin, Onur 3 Salupere, Andrus 3 Silambarasan, Rathinavel 3 Song, Zilong 3 Sultanova, L. 3 Tian, Bo 3 Wang, Chunyan 2 Balusamy, Balamurugan 2 Baskonus, Haci Mehmet 2 Cai, Zongxi 2 Chen, Yannan 2 Cortez, Manuel Fernando 2 Dong, Manman 2 Ege, Nihal 2 Fu, Chenbo 2 Gao, Wei 2 Garbuzov, F. E. 2 Grunert, Katrin 2 Guo, Boling 2 Guo, Yunxi 2 Gutekunst, Samuel C. 2 Hrizi, Mourad 2 Hu, Qiaoyi 2 Huo, Yi 2 Iusem, Alfredo Noel 2 Kilar, Neslihan 2 Li, Juan 2 Li, Zhanfeng 2 Li, Zhenyang 2 Ling, Chen 2 Liu, Xingxing 2 Liu, Yue 2 Lu, Dongqiang 2 Lu, Tian Jian 2 Morais, João Pedro 2 Mubaraki, Ali M. 2 Nemati, Somayeh 2 Novotny, Antonio André 2 Parker, Allen 2 Porter, R. Michael 2 Prakash, Ravi 2 Qiao, Zhijun 2 Qu, Yegao 2 Rudev, Alexander N. 2 Sedaghat, Salameh 2 Simsek, Yilmaz 2 Steigmann, David J. 2 Steinmann, Paul ...and 363 more Authors all top 5 Cited in 138 Serials 18 Mathematics and Mechanics of Solids 12 International Journal of Engineering Science 11 Wave Motion 10 Journal of Differential Equations 10 Journal of Industrial and Management Optimization 9 Applied Mathematics and Computation 9 Frontiers of Mathematics in China 7 Journal of Mathematical Analysis and Applications 7 Journal of Global Optimization 6 Chaos, Solitons and Fractals 6 Journal of Computational and Applied Mathematics 6 Applied Mathematics Letters 4 Acta Mechanica 4 Journal of Mathematical Physics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Functional Analysis 4 Continuum Mechanics and Thermodynamics 4 Journal of Inequalities and Applications 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Proceedings of the Royal Society of London. 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Solids 2 Communications in Nonlinear Science and Numerical Simulation 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Boundary Value Problems 2 Advances in Mathematical Physics 1 Modern Physics Letters B 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Solids and Structures 1 Inverse Problems 1 Journal of Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 Physica A 1 Physics Letters. A 1 Theoretical and Mathematical Physics 1 BIT 1 Functiones et Approximatio. Commentarii Mathematici 1 Mathematics of Operations Research 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Quarterly of Applied Mathematics 1 SIAM Journal on Control and Optimization 1 Mathematica Numerica Sinica 1 Insurance Mathematics & Economics 1 Applied Mathematics and Mechanics. 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Series B (English Edition) 1 Calculus of Variations and Partial Differential Equations 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Top ...and 38 more Serials all top 5 Cited in 35 Fields 142 Mechanics of deformable solids (74-XX) 131 Partial differential equations (35-XX) 56 Linear and multilinear algebra; matrix theory (15-XX) 37 Numerical analysis (65-XX) 33 Dynamical systems and ergodic theory (37-XX) 33 Fluid mechanics (76-XX) 24 Operations research, mathematical programming (90-XX) 8 Special functions (33-XX) 7 Number theory (11-XX) 6 Combinatorics (05-XX) 6 Quantum theory (81-XX) 5 Statistics (62-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 Ordinary differential equations (34-XX) 4 Computer science (68-XX) 4 Mechanics of particles and systems (70-XX) 4 Biology and other natural sciences (92-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year