Archive of Applied Mechanics最新文献

A study on dynamic behavior of nonlinear restrained transverse-longitudinal coupled thin beam system 非线性约束横纵耦合薄梁系统的动力特性研究

IF 3.1 3区工程技术

Archive of Applied Mechanics Pub Date : 2026-08-27 DOI: 10.1007/s00419-026-03175-5

Qiumei Lou, Yuhao Zhao

{"title":"A study on dynamic behavior of nonlinear restrained transverse-longitudinal coupled thin beam system","authors":"Qiumei Lou, Yuhao Zhao","doi":"10.1007/s00419-026-03175-5","DOIUrl":"10.1007/s00419-026-03175-5","url":null,"abstract":"<div><p>Elastic beam-coupled systems serve as core dynamic models for numerous complex engineering structures, such as offshore platforms and space robotic arms. During operation, these systems frequently encounter nonlinear boundary restraints and multi-directional dynamic excitation, which readily induce complex coupled vibrations. However, studies simultaneously considering nonlinear boundary conditions and transverse-longitudinal coupled vibrations in beam systems remain insufficient. To address this, this paper establishes a dynamic model for a thin beam system with transverse-longitudinal coupling and nonlinear restraints. Based on Hamilton’s principle and the Galerkin truncation method, the system control equations are derived. The convergence, stability, and reliability of the numerical method are verified, and the vibration response characteristics under different parameters are analyzed. Results indicate that transverse and longitudinal nonlinear stiffnesses exhibit directional specificity in suppressing vibrations across different resonance orders. Increased stiffness induces peak jumps and unstable regions. The coupling angle can synergistically regulate the resonance frequencies and amplitudes of both beams, achieving either “resonance suppression” or “broadband vibration reduction” effects. Furthermore, vibrational energy exhibits non-uniform transfer during angular variations, with Beam 2 demonstrating heightened sensitivity to the coupled geometric configuration. This study unveils the intricate vibrational mechanisms of coupled thin-beam systems under nonlinear restraints, providing crucial theoretical foundations for vibration control and stability optimization in related engineering structures.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 9","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148838150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 screw dislocation in a two-phase isotropic elastic thin film with an interfacial central crack 具有界面中心裂纹的两相各向同性弹性薄膜中的螺位错

IF 3.1 3区工程技术

Archive of Applied Mechanics Pub Date : 2026-08-27 DOI: 10.1007/s00419-026-03177-3

Xu Wang, Peter Schiavone

引用次数: 0

Design and mechanical performance analysis of stiffened composite rotational symmetric shell 加筋复合材料旋转对称壳的设计与力学性能分析

IF 3.1 3区工程技术

Archive of Applied Mechanics Pub Date : 2026-08-27 DOI: 10.1007/s00419-026-03176-4

Haojie Xu, Zhiheng Wang, Hao Song, Kangmei Li, Jun Hu

{"title":"Design and mechanical performance analysis of stiffened composite rotational symmetric shell","authors":"Haojie Xu, Zhiheng Wang, Hao Song, Kangmei Li, Jun Hu","doi":"10.1007/s00419-026-03176-4","DOIUrl":"10.1007/s00419-026-03176-4","url":null,"abstract":"<div><p>The formation of stiffened elliptical shells mainly relies on weaving and bonding processes. However, research on stiffened elliptical shell structures that meet the requirements for winding formation remains limited. Therefore, this study designs a stiffened shell structure suitable for winding formation based on geodesic theory. Using the principle of virtual displacement, this study calculates the equivalent stiffness of the stiffened shell structure and establishes a mechanical response model. Finite element software ABAQUS is used for simulation analysis, and the simulation results are compared with the mathematical model calculations. Finally, the predicted first-ply failure strength was further validated through a hydrostatic pressure test. Results show that the strain curves predicted by the theoretical model exhibit overall trends consistent with those obtained from the numerical simulations. Among the strain components, the transverse fiber strain <span>({varepsilon}_{2})</span> exhibits the largest mean error, with a value of 1.80 E-5. The analytical model predicts a first-ply failure pressure of 1.84 MPa for the stiffened shell, whereas the actual stable load-carrying pressure measured in the hydrostatic external-pressure test is approximately 2 MPa. The relative error between the theoretical prediction and the experimental result is 8%, demonstrating the reliability of the mathematical model developed in this study.Kindly provide significance of asterisk for another Author.Kangmei Li is a co-corresponding author, and the asterisk indicates the corresponding author designation.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 9","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148838139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

New model to predict the dynamic strain aging in Q235B steel Q235B钢动态应变时效预测新模型

IF 3.1 3区工程技术

Archive of Applied Mechanics Pub Date : 2026-08-22 DOI: 10.1007/s00419-026-03170-w

Tomasz Jankowiak, Alexis Rusinek, Yooseob Song

{"title":"New model to predict the dynamic strain aging in Q235B steel","authors":"Tomasz Jankowiak, Alexis Rusinek, Yooseob Song","doi":"10.1007/s00419-026-03170-w","DOIUrl":"10.1007/s00419-026-03170-w","url":null,"abstract":"<div><p>Dynamic strain aging (DSA) is a phenomenon influenced by both time and temperature, found in various metallic alloys such as steel, aluminum, nickel, titanium, and high entropy alloys. The main goal of this study is to develop a new constitutive model for Q235B steel that explicitly incorporates the effects of DSA within a Johnson-Cook type framework. The model is able to capture the coupled influence of strain rate and temperature on flow stress with high accuracy. The parameter identification procedure, based on differential evolution optimization, ensured a robust calibration against experimental data in a wide range of strain rates (0.001–7000 1/s) and temperatures (93–1173 K). The model was implemented in Abaqus/Explicit using the VUHARD subroutine, which calculates yield stress and its derivatives with respect to strain, strain rate, and temperature. The resulting model accurately reproduces the nonlinear strain rate sensitivity, the bell-shaped stress-temperature response characteristic of the DSA, and the shift of the peak DSA peak with increasing strain rate. The proposed model is therefore well suited for the implementation of finite elements and enhances predictive capability in simulations of structures subjected to dynamic loading and elevated temperatures.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 9","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-026-03170-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148783290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Comparative effects of Zener and Poynting–Thomson rheologies on torsional waves in voltage-biased semiconductor hollow cylinder 齐纳流变性和波因廷-汤姆逊流变性对偏压半导体空心圆柱体扭转波的比较影响

IF 3.1 3区工程技术

Archive of Applied Mechanics Pub Date : 2026-08-19 DOI: 10.1007/s00419-026-03173-7

Mahargha Biswas

{"title":"Comparative effects of Zener and Poynting–Thomson rheologies on torsional waves in voltage-biased semiconductor hollow cylinder","authors":"Mahargha Biswas","doi":"10.1007/s00419-026-03173-7","DOIUrl":"10.1007/s00419-026-03173-7","url":null,"abstract":"<div><p>In functional composite waveguide configurations, viscoelastic coatings serve as protective encapsulants and provide tunable dissipation that significantly affects energy transmission and transference profiles. The interactions between stress waves and viscoelastic coatings depend intensively on the coating’s rheological behavior, which necessitates accurate modeling through appropriate constitutive frameworks. In this article, axisymmetric torsional wave propagation is analyzed in a two-layer hollow cylindrical structure consisting of a non-piezoelectric semiconductor tube internally coated with a viscoelastic polymer. The hollow semiconductor tube is subjected to an external voltage source and coated with a metal electrode. The rheological influence of the viscoelastic layer is modeled with two distinct standard-linear-solid configurations, namely, the Zener and Poynting–Thomson models, to capture the material’s frequency-dependent relaxation behavior. The governing equations for the electrically active semiconductor and the electrically inactive viscoelastic phases are formulated in a cylindrical coordinate system and solved analytically through rigorous application of Bessel functions, including an imperfect interface modeled by a linear spring model. The resulting frequency equation is used to compute the multimodal frequency, phase velocity, and attenuation spectra of torsional waves against wave number, relaxation time, coating thickness, and depicted through graphical plotting for separately Zener and Poynting-Thomson rehologies. Also, comparative analyses between the two SLS formulations and the simpler Kelvin–Voigt and Maxwell models reveal distinct rheological influences on torsional wave propagation. The findings portray high sensitivity of torsional wave characteristics toward viscoelastic relaxation parameters, offering valuable insight into the design and optimization of tubular ultrasonic waveguides and semiconductor-based acoustic devices where precise damping control is essential.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 9","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148782442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Reflection and transmission of elastic waves at the interface of two strain-gradient elastic solids considering interfacial elasticity effects 考虑界面弹性效应的两应变梯度弹性固体界面处弹性波的反射和透射

IF 3.1 3区工程技术

Archive of Applied Mechanics Pub Date : 2026-08-18 DOI: 10.1007/s00419-026-03168-4

Jianmin Long, Shengwei Ge

{"title":"Reflection and transmission of elastic waves at the interface of two strain-gradient elastic solids considering interfacial elasticity effects","authors":"Jianmin Long, Shengwei Ge","doi":"10.1007/s00419-026-03168-4","DOIUrl":"10.1007/s00419-026-03168-4","url":null,"abstract":"<div><p>The microstructural effects and surface/interfacial effects of materials play a significant role in their dynamic behavior. In this paper, we employed the Toupin-Mindlin strain-gradient elasticity theory and the Gurtin–Murdoch surface elasticity theory to describe the mechanical behavior of the material interior and the surface/interface, respectively. We first presented the solutions for both anti-plane and in-plane wave propagation in strain-gradient elastic solids. Then by using a combined model that accounts for both strain gradient and surface elasticity effects, we investigated the reflection and transmission of anti-plane waves (SH-waves) and in-plane waves (P- and SV-waves) at the interface between two elastic half-spaces. We derived the systems of equations for the reflection and transmission coefficients of each wave under different types of incident waves. We also examined the influence of selected material parameters on these coefficients. In addition, we derived the average energy flux densities of SH-, P-, and SV-waves in strain-gradient elastic solids and examined whether energy is conserved for different types of incident waves. The results of this study may serve as a useful reference for the analysis of elastic wave propagation in complex media.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 9","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148752346","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Influence of random hole ratio on dynamic mechanical behavior and crack evolution of sandstone 随机孔洞比对砂岩动态力学行为及裂纹演化的影响

IF 3.1 3区工程技术

Archive of Applied Mechanics Pub Date : 2026-08-14 DOI: 10.1007/s00419-026-03172-8

Xiaowei Liu, Guangqian Zhang, Wei Liu, Yi Feng, Yaoyao Meng, Jianhua Wang

{"title":"Influence of random hole ratio on dynamic mechanical behavior and crack evolution of sandstone","authors":"Xiaowei Liu, Guangqian Zhang, Wei Liu, Yi Feng, Yaoyao Meng, Jianhua Wang","doi":"10.1007/s00419-026-03172-8","DOIUrl":"10.1007/s00419-026-03172-8","url":null,"abstract":"<div><p>Random defects in rock masses introduce uncertainties in their mechanical responses and failure behaviors. To explore this, a finite element cohesive zone model (FEM-CZM) is developed, incorporating random hole and mineral distributions, alongside a split Hopkinson pressure bar system and dynamic Brazilian splitting simulations. This approach systematically analyzes the impact of hole ratio (HR) on the dynamic mechanical behavior and crack evolution of sandstone. Results indicate that as HR increases, strain rate (SR) and the proportion of tensile cracks rise monotonically, while dynamic Brazilian tensile strength (D-BTS), damage dissipation energy of cohesive elements (ALLDMD), number of cracks (NC), and proportion of shear cracks decline. Specifically, SR and NC show a linear relationship with HR, while D-BTS and ALLDMD follow a quadratic relationship. Furthermore, the results demonstrate that the effect of increasing SR on D-BTS, ALLDMD, and NC mirrors the effect of increasing HR. As HR increases, the failure mode transitions from multi-path to single-dominant crack propagation, with significant changes in the distribution of tensile and shear cracks. Analysis of the maximum principal stress and displacement fields reveals the full process of crack nucleation, growth, and coalescence.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148751747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Multi-defect identification via cooperative numerical manifold method with whale algorithm optimized-back propagation neural network in heat conduction problems 热传导问题中基于鲸算法优化反向传播神经网络的协同数值流形多缺陷识别

IF 3.1 3区工程技术

Archive of Applied Mechanics Pub Date : 2026-08-12 DOI: 10.1007/s00419-026-03159-5

X. L. Ji, H. H. Zhang, S. Y. Han

{"title":"Multi-defect identification via cooperative numerical manifold method with whale algorithm optimized-back propagation neural network in heat conduction problems","authors":"X. L. Ji, H. H. Zhang, S. Y. Han","doi":"10.1007/s00419-026-03159-5","DOIUrl":"10.1007/s00419-026-03159-5","url":null,"abstract":"<div><p>Identifying multi-defect is a challenging problem in structural health monitoring. An inverse algorithm that cooperates with the numerical manifold method (NMM) and a whale algorithm optimized-back propagation (WA-BP) neural network is developed to detect the multi-defect in heat conduction problems. Leveraging its distinctive dual-cover system, the NMM provides a convenient and accurate solution for forward modeling of multi-defect scenarios. The WA, serving as a global optimization technique, synergizes with the BP neural network to form a mutually beneficial algorithm, enhancing the convergence performance of the WA and preventing BP from falling into a local trap. To train the WA-BP neural network, a database is first constructed using NMM-based boundary temperatures of sampling points, along with corresponding predefined defect configurations, after which the task of defect prediction is executed. Validation through representative cases, a single-edge crack, double cracks, and crack-hole coexistence, demonstrates that the proposed method achieves superior accuracy and robustness compared to standalone BP networks. This streamlined approach holds significant potential for addressing multi-defect identification challenges in engineering applications.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148751587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Out-of-plane vibration analysis of axially functionally graded circular, parabolic, and sinusoidal beams resting on Pasternak foundation 帕斯捷尔纳克基础上轴向功能梯度圆形、抛物线和正弦梁的面外振动分析

IF 3.1 3区工程技术

Archive of Applied Mechanics Pub Date : 2026-08-12 DOI: 10.1007/s00419-026-03171-9

Timuçin Alp Aslan

{"title":"Out-of-plane vibration analysis of axially functionally graded circular, parabolic, and sinusoidal beams resting on Pasternak foundation","authors":"Timuçin Alp Aslan","doi":"10.1007/s00419-026-03171-9","DOIUrl":"10.1007/s00419-026-03171-9","url":null,"abstract":"<div><p>The purpose of this study is to examine the out-of-plane free and forced vibration responses of axially functionally graded (AFG) curved beams resting on the Pasternak foundation. The dynamic analysis of beams with circular, parabolic, and sinusoidal shapes is carried out within the framework of Timoshenko beam theory. The curved-axis kinematics are defined using the Frenet–Serret frame, and the system’s differential equations are obtained from the equilibrium, compatibility, and constitutive equations. A unified method based on the combination of the Laplace transform and the complementary functions method (CFM) is used to analyze the damped and undamped vibration response of AFG curved beams. The viscoelastic behavior has been included in the formulation via the Kelvin damping model. Unlike previous isolated models, the primary novelty of this work lies in the simultaneous integration of out-of-plane spatial kinematics, arbitrary variable curvatures, and foundation interactions into a single, discretization-free state-space framework for continuous AFG beams. The results indicate that curvature distribution, material gradient index, radius-to-thickness ratio, boundary conditions, foundation parameters, and damping effects play a significant role in natural frequencies and transient dynamic response for curved beams resting on a Pasternak foundation.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"96 8","pages":""},"PeriodicalIF":3.1,"publicationDate":"2026-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148751104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Application of the linear impulse-momentum law to longitudinal impact 线性冲量-动量定律在纵向冲击中的应用

IF 3.1 3区工程技术

Archive of Applied Mechanics Pub Date : 2026-08-10 DOI: 10.1007/s00419-026-03165-7

George A. Gazonas, Ani P. Velo

引用次数: 0