Thin-Walled Structures最新文献_第6页

Vibration and dynamic stress distribution of composite plate in aircraft components treated with multiple configurations high damping shape memory alloy: theory and experiment 多构型高阻尼形状记忆合金处理飞机部件复合材料板的振动与动应力分布：理论与实验

IF 6.6 1区工程技术

Thin-Walled Structures Pub Date : 2025-09-16 DOI: 10.1016/j.tws.2025.114001

Ze-Yu Chai , Xu-Yuan Song , Ye-Wei Zhang , Qing-Kai Han , Li-Qun Chen

{"title":"Vibration and dynamic stress distribution of composite plate in aircraft components treated with multiple configurations high damping shape memory alloy: theory and experiment","authors":"Ze-Yu Chai , Xu-Yuan Song , Ye-Wei Zhang , Qing-Kai Han , Li-Qun Chen","doi":"10.1016/j.tws.2025.114001","DOIUrl":"10.1016/j.tws.2025.114001","url":null,"abstract":"<div><div>In view of the low-damping and large-amplitude vibration phenomena induced by the lightweight composite material structural design in the aerospace field, this paper proposes embedding high-damping shape memory alloy (SMA) with different configurations into composite plate, and focuses on the study on vibration behavior and dynamic stress distribution of composite laminated plate (CLP). A systematic analysis is conducted on six configurations of composite laminated plates, the influence of the embedded shape memory alloy configurations on the frequency characteristics of composite laminated plates is clarified. Based on the damping ratio of the SMA and the composite material determined through sweep-frequency experiments, the impact of SMA configurations on the damping properties of CLP under different boundary conditions is evaluated. To investigate whether CLP can suffer from strength failure or interlaminar separation during service, stress distribution analysis is performed on CLP with multi-configuration SMA, and the stress variation along the thickness direction is presented. The results demonstrate that the embedding of SMA with different configurations exerts complex influences on the vibration behaviors of CLP under various boundary conditions and can provide favorable vibration suppression performance. The complex-configured SMA can introduce tailorable modifications to the dynamic stress distribution of CLP at different orders.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"218 ","pages":"Article 114001"},"PeriodicalIF":6.6,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145119378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Nonlinear dynamic analysis of a wind turbine system considering base motion based on aero-elastic modeling 基于气动弹性建模的考虑基座运动的风力发电系统非线性动力学分析

IF 6.6 1区工程技术

Thin-Walled Structures Pub Date : 2025-09-16 DOI: 10.1016/j.tws.2025.113985

Bowen Jiang , Junshi Jia , Tao Yang , Zhichao Nie

{"title":"Nonlinear dynamic analysis of a wind turbine system considering base motion based on aero-elastic modeling","authors":"Bowen Jiang , Junshi Jia , Tao Yang , Zhichao Nie","doi":"10.1016/j.tws.2025.113985","DOIUrl":"10.1016/j.tws.2025.113985","url":null,"abstract":"<div><div>This study reports nonlinear dynamics of wind turbine systems (WTS) subjected to base excitation. The investigation is based on an aero-elastic continuum model derived through the extended Hamilton's principle, explicitly incorporating geometric nonlinearities and blade-tower interaction effects. Model validation is achieved through via comparison with both published results and numerical simulations obtained from open source software. The spectrums of modal force and steady state amplitude curves are compared and discussed. Comparison of modal force spectrums shows that dominant frequencies of blade excitation demonstrate pronounced directional dependence while those of the tower excitation exhibits complete directional invariance. Steady state amplitude-frequency curves show that the blade responses exhibit hardening behavior and internal resonance, resulting from geometrically nonlinear effects excited by the base motion. Compared to single-blade models, amplitude-frequency curves derived from the integrated model exhibit additional peaks, indicating the effects of blade-tower interaction. Besides, unfavorable excitation directions for flap-wise blade and tower modes demonstrate negligible sensitivity to base motion amplitude while that for edge-wise blade modal response varies with base motion amplitude.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"218 ","pages":"Article 113985"},"PeriodicalIF":6.6,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145159263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Lateral stiffness and restoring force model of multi-cavity-column steel frame– SPSW structure 多腔柱钢框架- SPSW结构侧移刚度及恢复力模型

IF 6.6 1区工程技术

Thin-Walled Structures Pub Date : 2025-09-16 DOI: 10.1016/j.tws.2025.114000

Yaqi Suo , Shenggang Fan , Runmin Ding

{"title":"Lateral stiffness and restoring force model of multi-cavity-column steel frame– SPSW structure","authors":"Yaqi Suo , Shenggang Fan , Runmin Ding","doi":"10.1016/j.tws.2025.114000","DOIUrl":"10.1016/j.tws.2025.114000","url":null,"abstract":"<div><div>As a novel prefabricated steel structural system, the multi-cavity-column (MC-column) steel frame–steel plate shear wall (SPSW) structure combines the characteristics of both MC column and SPSW, offering advantages such as high lateral stiffness, flexible and variable steel column cross-sections, and a high degree of factory prefabrication. To accurately evaluate the seismic performance of this structure and achieve refined design, based on low cyclic loading tests, a refined finite element analysis model was established, and parametric analysis was conducted to examine the effects of key parameters on the structure's seismic performance. The results indicate that: width-to-height ratio of SPSW <em>α</em><sub>s</sub> and height-to-thickness ratio of SPSW <em>λ</em><sub>w</sub> exhibit a distinct coupling effect on the initial lateral stiffness and shear capacity of the structure, while axial compression ratio of MC column <em>n</em><sub>c</sub> and <em>α</em><sub>s</sub> show a certain coupling effect on the energy dissipation capacity; moreover, parameters <em>n</em><sub>c</sub> and <em>α</em><sub>s</sub> exert a more pronounced influence on the initial lateral stiffness and shear capacity, and parameter <em>α</em><sub>s</sub> has a more significant impact on the energy dissipation capacity. Building upon this research, considering structural deformation mechanisms and the interaction between the MC-column steel frame and the embedded SPSWs, theoretical formulas for the initial lateral stiffness and shear capacity of the structure were derived. Furthermore, by incorporating the effect of damage accumulation degradation and pinching, a restoring force model for the structure was developed. Subsequently, validation against experimental and finite element results demonstrated high accuracy for the theoretical formulas and the restoring force model.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"218 ","pages":"Article 114000"},"PeriodicalIF":6.6,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145097518","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A 3D kirigami meta-structure with programmable and directionally tailored thermal expansion 三维基里伽米元结构，具有可编程和定向定制的热膨胀

IF 6.6 1区工程技术

Thin-Walled Structures Pub Date : 2025-09-16 DOI: 10.1016/j.tws.2025.114002

Tinghui Wei , Fucong Lu , Chuanbiao Zhang , Kelan Mo , Yang Liu , Yilin Zhu

{"title":"A 3D kirigami meta-structure with programmable and directionally tailored thermal expansion","authors":"Tinghui Wei , Fucong Lu , Chuanbiao Zhang , Kelan Mo , Yang Liu , Yilin Zhu","doi":"10.1016/j.tws.2025.114002","DOIUrl":"10.1016/j.tws.2025.114002","url":null,"abstract":"<div><div>Thermally responsive mechanical metamaterials enable unconventional thermal expansion behaviors for advanced engineering applications. However, existing designs often face challenges in achieving scalable and programmable tailored responses. In this work, we proposed a 3D kirigami meta-structure capable of realizing positive, zero, and negative thermal expansion (PTE, ZTE, and NTE) through a kinematics-driven design strategy. To achieve thermal actuation, curved thermostatic metal strips were integrated in place of traditional creases. The design was validated through theoretical modeling, finite element (FE) simulations, and experimental tests. Furthermore, by assembling unit cells with varied geometries and material configurations, complex yet deformation-compatible arrays are constructed, significantly enhancing both flexibility and scalability. Overall, this work presents a programmable, scalable, and directionally tailored thermal response strategy, with promising applications in thermal stress management for precision engineering systems such as space telescopes, satellite components, and advanced optical instruments.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"218 ","pages":"Article 114002"},"PeriodicalIF":6.6,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145097517","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Exponential degradation of adhesion between visco-hyperelastic materials by isogeometric analysis 粘-超弹性材料间黏附指数退化的等几何分析

IF 6.6 1区工程技术

Thin-Walled Structures Pub Date : 2025-09-16 DOI: 10.1016/j.tws.2025.113983

Chunfa Wang , Yan Li , Libang Hu , Yudong Li , Huijian Chen , Zhiqiang Feng

{"title":"Exponential degradation of adhesion between visco-hyperelastic materials by isogeometric analysis","authors":"Chunfa Wang , Yan Li , Libang Hu , Yudong Li , Huijian Chen , Zhiqiang Feng","doi":"10.1016/j.tws.2025.113983","DOIUrl":"10.1016/j.tws.2025.113983","url":null,"abstract":"<div><div>Visco-hyperelastic materials are extensively utilized in engineering applications due to their excellent adhesive properties. However, this adhesion gradually weakens when subjected to cyclic bonding–debonding. In this paper, a modified cohesive zone model is developed by introducing an exponential degradation factor that is related to the number of bonding–debonding cycles to characterize the adhesion degradation phenomenon. This model also takes the effect of real contact area on adhesion in each bonding–debonding cycle into account. We then couple this model with the bi-potential contact algorithm to handle interfacial contact during the bonding process, because the cohesive zone model concerns the process of separation. Two-dimensional and three-dimensional numerical implementations of large deformation frictional contact and adhesion are carried out in the context of isogeometric analysis, which offers a geometrically accurate description, a continuous normal field of the contact interface, and precise determination of contact forces. Numerical examples show that the effect of material viscosity on adhesion varies depending on the boundary conditions, and the rough surface has an obvious effect on adhesion.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"218 ","pages":"Article 113983"},"PeriodicalIF":6.6,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145097062","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Experimental and numerical study on the dynamical crushing behaviour of sandwich structures with various cell cores under impact load 冲击载荷作用下不同芯层夹层结构动态破碎特性的实验与数值研究

IF 6.6 1区工程技术

Thin-Walled Structures Pub Date : 2025-09-16 DOI: 10.1016/j.tws.2025.114004

Tao Wang , Ming Cai Xu , Jin Pan

{"title":"Experimental and numerical study on the dynamical crushing behaviour of sandwich structures with various cell cores under impact load","authors":"Tao Wang , Ming Cai Xu , Jin Pan","doi":"10.1016/j.tws.2025.114004","DOIUrl":"10.1016/j.tws.2025.114004","url":null,"abstract":"<div><div>The present paper aims to figure out the dimensional combination of the core type and gradient distribution of honeycomb shape structure, which could be adopted for the potential applications considering capacity of energy absorption. The sandwich structures with uniform hexagonal, re-entrant hexagonal and gradient hexagonal cell cores are designed and manufactured via 3D-printing technology. The lateral impact tests are conducted to analyze the dynamical responses and damage evolution process of the sandwich structures by using the developed electromagnetic loading (EML) system. The corresponding experimental results are used to validate the numerical modelling approach loading and EML system. The comparative analysis of various design variables, including core type, impact energy, and gradient direction of cellular structures, on the deformation modes, structural compression strength and energy absorption are carried out. Under the same impact energy, the specific energy absorption (SEA) of the gradient hexagonal cell core is 13 % and 46 % larger than that from the uniform hexagonal cell core and re-entrant hexagonal cell core. The findings provide valuable insights into the selection of cellular core configurations for potential protection applications against impact load.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"218 ","pages":"Article 114004"},"PeriodicalIF":6.6,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145119377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

High-efficiency broadband underwater acoustic metamaterial based on viscoelastic shear dissipation and quasi-Helmholtz resonance 基于粘弹性剪切耗散和准亥姆霍兹共振的高效宽带水声超材料

IF 6.6 1区工程技术

Thin-Walled Structures Pub Date : 2025-09-15 DOI: 10.1016/j.tws.2025.113988

Jinshun Hu , Yongshui Lin , Zhenyang Huang , Siying Wang , Weiguo Wu

{"title":"High-efficiency broadband underwater acoustic metamaterial based on viscoelastic shear dissipation and quasi-Helmholtz resonance","authors":"Jinshun Hu , Yongshui Lin , Zhenyang Huang , Siying Wang , Weiguo Wu","doi":"10.1016/j.tws.2025.113988","DOIUrl":"10.1016/j.tws.2025.113988","url":null,"abstract":"<div><div>We propose a high-efficiency broadband underwater acoustic metamaterial (HEB-UAM) with a unique grating-like structure made of wider rigid supports and damping layers. The design incorporates an internally embedded quasi-Helmholtz resonator configuration within the rigid support structure. We developed a theoretical model for the HEB-UAM absorption coefficient by combining slit absorption theory with the complex viscosity model and using the transfer matrix method (TMM). The theoretical predictions exhibit excellent agreement with the finite element method (FEM) simulation results. The insertion of rigid supports significantly enhances the shear deformation within the damping layers, thereby substantially improving the viscous shear dissipation of acoustic energy. The wider support helps offset the poor broadband absorption of low-impedance materials. The rigid support contains a quasi-Helmholtz resonator with a narrow slit, a water cavity, a damping layer, and an air cavity arranged in sequence. This carefully optimised configuration maximises the degrees of freedom for the cavity damping layer, resulting in significantly enhanced low-frequency acoustic energy absorption. Parametric studies elucidated the absorption characteristics of each component. Through particle swarm optimization (PSO) of unit cell parameters, the optimized structure achieves efficient sound absorption(<span><math><mrow><mi>α</mi><mo>></mo><mn>0.8</mn></mrow></math></span>) in the deep subwavelength regime(<span><math><mrow><mi>λ</mi><mo>/</mo><mn>326</mn></mrow></math></span> at 92 Hz). Notably, it maintains a high average absorption coefficient of 0.94 within the 0–10000 Hz frequency range. Furthermore, we discuss feasible approaches for lightweight design, loss factor reduction, and reduction in structural thickness. These findings highlight the strong potential of HEB-UAM for practical underwater sound absorption applications.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"218 ","pages":"Article 113988"},"PeriodicalIF":6.6,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145097065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Harnessing nacre-inspired buckling: Enhanced cushioning in biomimetic staggered composites 利用珍珠激发的屈曲：增强仿生交错复合材料的缓冲

IF 6.6 1区工程技术

Thin-Walled Structures Pub Date : 2025-09-15 DOI: 10.1016/j.tws.2025.113996

Yang Gao , Zhongliang Yu , Junjie Liu , Yue Guo , Qian Cheng , Xiaoding Wei

{"title":"Harnessing nacre-inspired buckling: Enhanced cushioning in biomimetic staggered composites","authors":"Yang Gao , Zhongliang Yu , Junjie Liu , Yue Guo , Qian Cheng , Xiaoding Wei","doi":"10.1016/j.tws.2025.113996","DOIUrl":"10.1016/j.tws.2025.113996","url":null,"abstract":"<div><div>Nacre-inspired staggered composites demonstrate exceptional potential for energy absorption applications, yet their buckling-governed mechanical behavior remains insufficiently understood. This study integrating theoretical modeling, experimental validation, and numerical simulations, decodes the buckling mechanics in staggered composites. The asymptotic perturbation analysis of nonlinear governing equations yields an analytical solution for tablet post-buckling in staggered architectures, enabling precise prediction of critical buckling stresses with <5 % experimental deviation. Quasi-static compression tests reveal a well-defined stress plateau with minimal fluctuation (<5 %) in the staggered composites, demonstrating significant potential for cushion applications. Then, a comparative analysis against conventional thin-walled metallic tubes demonstrates superior energy absorption metrics: staggered composites achieve near-unity crush force efficiency and full shape recovery with significant mechanical hysteresis, outperforming metallic counterparts. Further, the impact simulations reveal that the staggered structure achieves superior cushion performance over a broader loading range than metallic thin-walled structures, i.e., corrugated tube and circular tube, leveraging its characteristic post-buckling response. Finally, compared with the existing energy-dissipation materials with recoverable deformation, the Ashby chart suggests simultaneous optimization of specific energy absorption and specific stiffness in staggered architectures. Therefore, the knowledge gained from this study may serve as a novel biomimetic strategy for protective system optimization.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"218 ","pages":"Article 113996"},"PeriodicalIF":6.6,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145097418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Design and fabrication of hierarchical honeycomb structure with in-situ foaming 原位发泡分层蜂窝结构的设计与制造

IF 6.6 1区工程技术

Thin-Walled Structures Pub Date : 2025-09-15 DOI: 10.1016/j.tws.2025.113991

Haoyang Yuan , Aijun Huang , Xinni Tian , Xiaoyu Wang , Qiang Gao , Yunlong Tang

{"title":"Design and fabrication of hierarchical honeycomb structure with in-situ foaming","authors":"Haoyang Yuan , Aijun Huang , Xinni Tian , Xiaoyu Wang , Qiang Gao , Yunlong Tang","doi":"10.1016/j.tws.2025.113991","DOIUrl":"10.1016/j.tws.2025.113991","url":null,"abstract":"<div><div>Achieving high energy absorption with minimal weight remains a key challenge in structural materials design. Drawing on hierarchical architectures observed in natural systems such as woods and bones, this study introduces a second-order hierarchical honeycomb structure fabricated via fused filament fabrication (FFF) process, incorporating solid polylactic acid (PLA) skins and in-situ foamed PLA cores. A design framework was established to explore the effects of geometric parameters and processing conditions, particularly nozzle temperature, on foam morphology and mechanical performance. Through systematic experiments and numerical simulations, it was demonstrated that the proposed solid–foam hybrid structures significantly enhance specific energy absorption (SEA), with the best design achieving up to 63 % improvement over conventional solid PLA honeycombs at equivalent density. Design maps were developed to quantitatively guide structure selection under varying energy absorption and allowable stress constraints. This hierarchical design strategy offers a scalable and tunable pathway for lightweight, impact-resistant structures in advanced engineering applications by tailoring the geometric parameters on each hierarchical level.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"218 ","pages":"Article 113991"},"PeriodicalIF":6.6,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145119372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Peridynamic formulation for hyperelastic Mooney–Rivlin materials employing a novel strain energy density approach 采用一种新的应变能密度方法的超弹性Mooney-Rivlin材料的周动力学公式

IF 6.6 1区工程技术

Thin-Walled Structures Pub Date : 2025-09-15 DOI: 10.1016/j.tws.2025.113989

Abbas Rahimi Petroudi, Hamed Afrasiab, Ali Hassani

{"title":"Peridynamic formulation for hyperelastic Mooney–Rivlin materials employing a novel strain energy density approach","authors":"Abbas Rahimi Petroudi, Hamed Afrasiab, Ali Hassani","doi":"10.1016/j.tws.2025.113989","DOIUrl":"10.1016/j.tws.2025.113989","url":null,"abstract":"<div><div>Peridynamics (PD), unlike classical continuum mechanics, formulates the governing equations using spatial integrals rather than relying on displacement derivatives. This paper introduces a new formulation of PD for a novel application in analyzing the behavior of hyperelastic Mooney-Rivlin membranes under uniaxial tensile loading, offering a fresh perspective on modeling complex material deformations. A new formulation is derived for the PD strain energy density function based on the Mooney–Rivlin model, incorporating the relationship between stress components and strain energy. The hydrostatic pressure term for incompressible isotropic hyperelastic materials is also explicitly derived, and PD parameters are calibrated by equating the PD strain energy to the classical strain energy. Finally, the PD equation of motion is completed by introducing a new formulation of PD force density, specifically for Mooney–Rivlin hyperelastic membranes under uniaxial tensile loading. The PD equation of motion, formulated as an integro-differential equation, is solved using advanced numerical techniques for both spatial and time integrations. The PD method (PDM) shows excellent consistency with the finite element method, demonstrating its high accuracy and reliability. The study also employs adaptive dynamics methods to handle static problems within a dynamic framework, highlighting the flexibility and efficiency of the PDM. These findings demonstrate that PDM is a robust and efficient alternative to traditional methods, particularly for applications involving large deformations and dynamic loading, marking a significant advancement in the analysis of hyperelastic membranes.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"218 ","pages":"Article 113989"},"PeriodicalIF":6.6,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145097520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0