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postbuckling analyses of ribbon-type 3D structures assembled on cylindrical substrates

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Acta Mechanica Sinica 2024年第12期40卷 56-72页

作者： Tianqi Jin Jianzhong Zhao Yihui Zhang Applied Mechanics Laboratory Department of Engineering MechanicsTsinghua UniversityBeijing 100084China Laboratory of Flexible Electronics Technology Tsinghua UniversityBeijing 100084China

Mechanical-guided assembly of three-dimensional(3D)mesostructures from pre-defined 2D precursors based on the deterministically controlled buckling has attracted increasing attention in both fundamental and applied research areas,owing to the compelling advantages in developing flexible electronic devices with complex 3D geometries and novel ***,a buckling-guided strategy was reported to enable assembly of complex 3D mesostructures and electronic devices on cylindrical and cylinder-like substrates,which can be integrated with vascular systems for monitoring of flow rate and other physical signals.A clear understanding of nonlinear buckling deformations of elastic beams assembled on cylindrical substrates is thereby essential for the relevant structural *** this work,we present a systematic study on the nonlinear deformations of buckled ribbon-type structures on cylindrical *** representative classes of ribbon-type structures are considered,including arc structures and serpentine *** with the finite-deformation beam theory,a theoretical model is established to investigate deformed configurations resulted from the controlled buckling,including ribbons assembled on both outer and inner surfaces of the *** structure-substrate contact and self-contact are taken into account in the analyses,which could lead to distinct deformed *** experimental studies and finite element analyses(FEA)were carried out to validate the developed theoretical model.A demonstrative device design based on the 3D ribbon network outside the cylindrical substrate suggests potential applications in energy harvesting across a broad range of *** theoretical model presented herein could offer insights for the practical design of 3D electronic devices that can be conformally integrated with curvy biological surfaces.

关键词： Buckling-guided 3D assembly postbuckling Cylindrical substrate Curvature effect

postbuckling OF IMPERFECT STIFFENED CYLINDRICAL SHELLS UNDER COMBINED EXTERNAL PRESSURE AND HEATING

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Applied Mathematics and Mechanics(English Edition) 1998年第5期19卷 411-423页

作者：沈惠申 Department of Civil Engineering Shanghai Jiaotong University Shanghai P. R. China

A postbuckling analysis is presented for a stiffened cylindrical shell of finite length subjected to combined loading of external pressure and a uniform temperature rise. The formulations are based on a boundary layer theory of shell buckling, which includes the effects of nonlinear prebuckling deformations, nonlinear large deflections in the postbuckling range and initial geometrical imperfections of the shell. The 'smeared stiffener' approach is adopted for the stiffeners. The analysis uses a singular perturbation technique to determine the interactive buckling loads and the postbuckling equilibrium paths. Numerical examples cover the performances of perfect and imperfect, stringer and ring stiffened cylindrical shells. Typical results are presented in dimensionless graphical form.

关键词： postbuckling thermal postbuckling stiffened cylindrical shell combined loading a boundary layer theory of shell buckling singular perturbation technique

postbuckling OF PRESSURE-LOADED SHEAR DEFORMABLE LAMINATED CYLINDRICAL PANELS

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Applied Mathematics and Mechanics(English Edition) 2003年第4期24卷 402-413页

作者：沈惠申 SchoolofCivilEngineeringandMechanics ShanghaiJiaotongUniversity

A postbuckling analysis is presented for a shear deformable laminated cylindrical panel of finite length subjected to lateral pressure. The governing equations are based on Reddy's higher order shear deformation shell theory with von Krmn_Donnell_type of kinematic nonlinearity. The nonlinear prebuckling deformations and initial geometric imperfections of the panel are both taken into account. A boundary layer theory of shell buckling, which includes the effects of nonlinear prebuckling deformations, large deflections in the postbuckling range, and initial geometric imperfections of the shell, is extended to the case of shear deformable laminated cylindrical panels under lateral pressure. A singular perturbation technique is employed to determine the buckling loads and postbuckling equilibrium paths. The numerical illustrations concern the postbuckling response of perfect and imperfect, moderately thick, cross_ply laminated cylindrical panels. The effects played by transverse shear deformation, panel geometric parameters, total number of plies, fiber orientation, and initial geometric imperfections are studied.

关键词： structural stability buckling postbuckling cylindrical panel higher order shear deformable shell theory boundary layer theory of shell buckling singular perturbation technique

postbuckling OF CARBON NANOTUBES SUBJECTED TO CYCLIC LOAD

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Acta Mechanica Solida Sinica 2005年第2期18卷 123-129页

作者： WangLifeng HuHaiyan GuoWanlin InstituteofVibrationEngineeringResearch NanjingUniversityofAeronauticsandAstronauticsNanjing210016China

This study focuses on the postbuckling and the nonlinear behavior of single-walled carbon nanotubes subject to a cyclic axial compressive load through the use of molecular dynamic simulation based on the Tersoff-Brenner potential. It reveals the bifurcation behavior in the buckling process simulated with very fine time steps. In the whole cycle of nonlinear deformation, the carbon nanotubes exhibit the profound hysteretic behavior and the energy absorption ability. The molecular dynamics simulation indicates that the carbon nanotube behaves approximately as an ideal plastic spring when the cyclic strain is applied within the same postbuckling mode. In comparison, the theory of continuum mechanics gives a good prediction about the critical buckling strength, but only provides a rough estimation for the post-buckling behaviors.

关键词： carbon nanotube postbuckling cyclic load molecular dynamics simulation

postbuckling analysis of functionally graded graphene platelet-reinforced polymer composite cylindrical shells using an analytical solution approach

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Applied Mathematics and Mechanics(English Edition) 2019年第7期40卷 1001-1016页

作者： S. BLOORIYAN R. ANSARI A. DARVIZEH R. GHOLAMI H. ROUHI Department of Mechanical Engineering University of Guilan Rasht 41635-3756 Iran Department of Mechanical Engineering Lahijan Branch Islamic Azad University Lahijan 44169-39515Iran Department of Engineering Science Faculty of Technology and Engineering University of Guilan Rudsar-Vajargah 44891-63157 Iran

An analytical approach is proposed to study the postbuckling of circular cylindrical shells subject to axial compression and lateral pressure made of functionally graded graphene platelet-reinforced polymer composite (FG-GPL-RPC). The governing equations are obtained in the context of the classical Donnell shell theory by the von K′arm′an nonlinear relations. Then, based on the Ritz energy method, an analytical solution approach is used to trace the nonlinear postbuckling path of the shell. The effects of several parameters such as the weight fraction of the graphene platelet (GPL), the geometrical properties, and distribution patterns of the GPL on the postbuckling characteristics of the FG-GPL-RPC shell are analyzed.

关键词： cylindrical shell nanocomposite graphene platelet (GPL) postbuckling analytical solution

postbuckling behavior of 3D braided rectangular plates subjected to uniaxial compression and transverse loads in thermal environments

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Science China(Technological Sciences) 2014年第7期57卷 1439-1453页

作者： CHU GuoPing LI ZhiMin Shanghai Key Lab of Digital Manufacture for Thin-Walled Structures School of Mechanical Engineering Shanghai Jiao Tong University

postbuckling behavior of the 3D braided rectangular plates subjected to uniaxial compression combined with transverse loads in thermal environments is *** on a micro-macro-mechanical model,a 3D braided composite may be treated as a cell system and the geometry of each cell is deeply dependent on its position in the cross-section of the *** material properties of the epoxy are expressed as a linear function of ***,linear and nonlinear temperature distributions through the thickness are *** lateral pressure(three types of transverse loads,*** uniform load;transverse patch load over a central area;and transverse sinusoidal load)is first converted into an initial deflection and the initial geometric imperfection of the plate is taken into *** governing equations are based on Reddy’s higher-order shear deformation plate theory with a von Kármán-type of kinematic *** cases of the in-plane boundary conditions are also taken into account.A perturbation technique is employed to determine buckling loads and postbuckling equilibrium paths of simply supported 3D braided rectangular *** results reveal that the temperature rise,geometric parameter,fiber volume fraction,braiding angle,the character of the in-plane boundary conditions and different types of initial transverse loads have a significant effect on the buckling and postbuckling behavior of the braided composite plates.

关键词： 3D braided composite plate higher-order shear deformation plate theory buckling postbuckling transverse loads thermal environment

BUCKLING AND postbuckling ANALYSIS OF ELASTO-PLASTIC FIBER METAL LAMINATES

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Acta Mechanica Solida Sinica 2014年第1期27卷 73-84页

作者： Rengui Bi Yiming Fu Yanping Tian Chao Jiang State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body Hunan University College of Mechanical and Vehicle Engineering Hunan University School of Mechanical Engineering Hangzhou Dianzi University

The elasto-plastic buckling and postbuckling of fiber metal laminates （FML） are studied in this research. Considering the geometric nonlinearity of the structure and the elasto- plastic deformation of the metal layers, the incremental Von Karman geometric relation of the FML with initial deflection is established. Moreover, an incremental elasto-plastic constitutive relation adopting the mixed hardening rule is introduced to depict the stress-strain relationship of the metal layers. Subsequently, the incremental nonlinear governing equations of the FML subjected to in-plane compressive loads are derived, and the whole problem is solved by the iterative method according to the finite difference method. In numerical examples, the effects of the initial deflection, the loading state, and the geometric parameters on the elasto-plastic buckling and postbuckling of FML are investigated, respectively.

关键词： fiber metal laminates elasto-plastic buckling postbuckling

Deep postbuckling and nonlinear bending behaviors of nanobeams with nonlocal and strain gradient effects

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Applied Mathematics and Mechanics(English Edition) 2019年第4期40卷 515-548页

作者： Bo ZHANG Huoming SHEN Juan LIU Yuxing WANG Yingrong ZHANG School of Mechanics and Engineering Southwest Jiaotong University Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province

In this paper, multi-scale modeling for nanobeams with large deflection is conducted in the framework of the nonlocal strain gradient theory and the Euler-Bernoulli beam theory with exact bending curvature. The proposed size-dependent nonlinear beam model incorporates structure-foundation interaction along with two small scale parameters which describe the stiffness-softening and stiffness-hardening size effects of nanomaterials, respectively. By applying Hamilton's principle, the motion equation and the associated boundary condition are derived. A two-step perturbation method is introduced to handle the deep postbuckling and nonlinear bending problems of nanobeams analytically. Afterwards, the influence of geometrical, material, and elastic foundation parameters on the nonlinear mechanical behaviors of nanobeams is discussed. Numerical results show that the stability and precision of the perturbation solutions can be guaranteed, and the two types of size effects become increasingly important as the slenderness ratio increases. Moreover, the in-plane conditions and the high-order nonlinear terms appearing in the bending curvature expression play an important role in the nonlinear behaviors of nanobeams as the maximum deflection increases.

关键词： nanobeam nonlocal strain gradient theory two-step perturbation method,deep postbuckling

postbuckling RESPONSE OF CANTILEVER BEAMS OF NON-LINEAR ELASTIC MATERIAL SUBJECTED TO SUBTANGENTIAL FOLLOWER FORCES

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Journal of China Textile University(English Edition) 1990年第4期8卷 63-70页

作者：施伟辰 Basic Sciences Department

This paper deals with the problem of the postbuckling response of a thin cantilever beam ofnon-linear material, subjected to subtangential follower forces. Based on the well-knownBernoulli-Euler bending moment-curvature relation, the proposed problem is reduced to a specialeigenvalue problem of non-linear differential equation. An approximate solution is achieved byusing a simple and very effective technique, which leads to reliable results even in the case of verylarge deflections. The initial postbuckling path depending on the subtangential follower forces inequilibrium is then obtained. Moreover, the individual and coupling effect of the subtangential fol-lower force, the material non-linearity and the beam slenderness ratio on the initial postbucklingpath are also discussed in detail.

关键词： stability,non-linear material,eigenvalue problems non-conservative force,initial postbuckling path