Archive of Applied Mechanics最新文献_第5页

A numerical study of the normal loading–unloading contact behaviors considering yield plateau and strain hardening 考虑屈服平台和应变硬化的正常加卸载接触行为的数值研究

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-21 DOI: 10.1007/s00419-025-02761-3

Juncheng Luo, Jianhua Liu, Huanxiong Xia, Xiaohui Ao, Jian Zhang, Xuerui Zhang, Hui Zhang, Xin Liu

引用次数: 0

Spectral realization of the method of matched sections for thin-plate vibration 薄板振动匹配截面法的频谱实现

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-20 DOI: 10.1007/s00419-024-02755-7

Igor Orynyak, Anton Tsybulnyk, Kirill Danylenko

{"title":"Spectral realization of the method of matched sections for thin-plate vibration","authors":"Igor Orynyak, Anton Tsybulnyk, Kirill Danylenko","doi":"10.1007/s00419-024-02755-7","DOIUrl":"10.1007/s00419-024-02755-7","url":null,"abstract":"<div><p>The paper further develops the method of matched sections as a new universal numerical technique. Like the finite element method, FEM, it supposes that: a) the domain is represented as a mesh of simple elements; b) algebraic relations between the main parameters are established from the governing differential equations; c) relationships from all elements are assembled into one global matrix. The relations between the main parameters are established similarly to those for the corresponding 1D task, so any 2D problem is considered a combination of two 1D problems—one is x-dependent, and the other is y-dependent. In all technical aspects, this paper resembles our previous one, which was devoted to the static analysis of plate bending. It operates by the same governing parameters, the same structure of the dependencies between them as well as the organization of the calculation scheme. The only difference consists in connection equations (analogy of element interpolation functions), which establish the relationship between inlet parameters (about the left and lower sides of the element) and outlet parameters (the left and upper sides). They are derived as the frequency-dependent ones (frequency is explicitly used in them) and in the liming case of very long (narrow) plates coincide with the known beam frequency-dependent solution. Several practical examples demonstrate the efficiency of the proposed method.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995111","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}

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Null-lagrangians in the micro-inertia contribution of the reduced relaxed micromorphic model. Theoretical and computational insights with applications 简化松弛微形态模型微惯量贡献中的零拉格朗日量。具有应用的理论和计算见解

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-20 DOI: 10.1007/s00419-024-02709-z

Félix Erel-Demore, Jendrik Voss, Patrizio Neff, Angela Madeo

{"title":"Null-lagrangians in the micro-inertia contribution of the reduced relaxed micromorphic model. Theoretical and computational insights with applications","authors":"Félix Erel-Demore, Jendrik Voss, Patrizio Neff, Angela Madeo","doi":"10.1007/s00419-024-02709-z","DOIUrl":"10.1007/s00419-024-02709-z","url":null,"abstract":"<div><p>This paper identifies a null-Lagrangian in the reduced relaxed micromorphic model. We show that the introduction of a micro-inertia depending on the skew-symmetric part of <span>(nabla dot{u})</span> with the macroscopic displacement field <i>u</i> does not enrich the dispersion relations of the reduced relaxed micromorphic model. Reciprocally, we show that one can switch from the full micro-inertia (with both sym<span>(nabla dot{u})</span> and skew<span>(nabla dot{u})</span> terms) to the reduced micro-inertia (only sym<span>(nabla dot{u})</span>) without any additional fitting. This is related to the fact that the introduction of such a skew-symmetric term is equivalent to a null-Lagrangian that leaves the bulk response unchanged while modifying the Neumann boundary conditions at the boundaries. Thus, the introduction of the skew-symmetric part of the micro-inertia, while redundant for wave dispersion, may potentially be used to improve the response of finite-size mechanical metamaterials at the homogenized macroscale due to boundary effects.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-024-02709-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995180","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}

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Multi-scale Mohr–Coulomb strength criterion considering particle characteristic for soil 考虑土颗粒特性的多尺度莫尔-库仑强度准则

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-20 DOI: 10.1007/s00419-024-02750-y

Deluan Feng, Lirui Zhou, Shihua Liang

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Dynamic strength of lined tunnel in hard rock medium under cylindrical unloading waves with visco-elastic interface effect 考虑粘弹性界面效应的圆柱卸载波作用下硬岩介质衬砌隧道动强度研究

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-13 DOI: 10.1007/s00419-024-02752-w

Xue-Qian Fang, Xin-Yu Liu, Ya-Wen Xiong

{"title":"Dynamic strength of lined tunnel in hard rock medium under cylindrical unloading waves with visco-elastic interface effect","authors":"Xue-Qian Fang, Xin-Yu Liu, Ya-Wen Xiong","doi":"10.1007/s00419-024-02752-w","DOIUrl":"10.1007/s00419-024-02752-w","url":null,"abstract":"<div><p>In deep rock medium excavation, the unloading waves due to the blasting excavation can bring great damage to the neighboring structures. In this paper, the visco-elastic interface model is introduced to study the dynamic strength around an existing lined tunnel subjected to blasting and unloading waves. Three unloading paths because of tunnel blasting excavation are considered, and the dynamic interface stresses of existing lined tunnel resulting from these unloading paths are derived. To describe the wave fields around the existing tunnel and in the tunnel lining, the wave function expansion method is used, and the elastic and viscosity coefficients of interface is used to describe the interfacial characters. The analytical solutions of displacement and stress fields in the rock mass are obtained. An approximate numerical integration method is introduced to calculate the displacements and stresses around the existing tunnel. In numerical examples, the circumferential stress around the existing tunnel under different interface parameters, unloading paths and geometrical and physical parameters of tunnels is analyzed. Comparison with the existing numerical results validates this model.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142963159","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

Assembly damage assessment of composite plates using uncertainty quantification and statistical analysis 用不确定度量化和统计分析评价复合材料板的装配损伤

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-13 DOI: 10.1007/s00419-024-02753-9

Xin Tong, Jianfeng Yu, Shengqiang Cui, Dong Xue, Jie Zhang, Yuan Li

{"title":"Assembly damage assessment of composite plates using uncertainty quantification and statistical analysis","authors":"Xin Tong, Jianfeng Yu, Shengqiang Cui, Dong Xue, Jie Zhang, Yuan Li","doi":"10.1007/s00419-024-02753-9","DOIUrl":"10.1007/s00419-024-02753-9","url":null,"abstract":"<div><p>During the assembly process, deformation occurs in composite thin-walled parts, leading to damage at the hole connections of their single-longitudinal splice (SLS) joints. To predict assembly damage in the design process, it is usually necessary to combine uncertainty analysis with finite element analysis (FEA) methods. However, this field has limited progress due to the large size of the analyzed objects relative to their span and the large number of constraints that increase computational costs and complexity. In this study, we employed a linear elastic method to analyze the assembly process of thin-walled components. We achieved the uncertainty propagation (UP) and uncertainty quantification (UQ) of profile deviation random fields by using sub-modeling techniques, and obtained the stress distribution around the connection holes. The validity of the method was confirmed through a comparison with a full-process FEA of a three-hole SLS model. By integrating our method with the Hashin damage criterion, we proposed a statistical analysis approach for predicting assembly failure in SLS joints. The results demonstrated that considering only the profile deviation of the composite panel wall had a significant impact on material damage.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142963163","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

Displacement and stress analysis of laminated and sandwich beams under various mechanical loads using a quasi-2D theory 基于准二维理论的层合梁和夹层梁在不同力学荷载下的位移和应力分析

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-13 DOI: 10.1007/s00419-024-02751-x

Param D. Gajbhiye, Nitesh Yelve, Yuwaraj M. Ghugal, Avik K. Das

{"title":"Displacement and stress analysis of laminated and sandwich beams under various mechanical loads using a quasi-2D theory","authors":"Param D. Gajbhiye, Nitesh Yelve, Yuwaraj M. Ghugal, Avik K. Das","doi":"10.1007/s00419-024-02751-x","DOIUrl":"10.1007/s00419-024-02751-x","url":null,"abstract":"<div><p>This study presents a fifth-order shear deformation theory for analyzing the displacement and stress of laminated and sandwich beams subjected to sinusoidal, uniformly distributed, and linearly varying loads. The theory's displacement field takes normal deformations and transverse shear effects into account. On both the upper and lower surfaces of the beams, the requirement of zero transverse shear stresses is fulfilled. Hence present theory does not require a shear correction factor. Governing equations and boundary conditions of laminated and sandwich beams are derived using the principle of virtual work. From the stress-equilibrium equations of the theory of elasticity, transverse shear stresses are recovered. Both the stress-free boundary conditions at the external surfaces and the continuity condition at the layer interface are satisfied by the transverse stresses that arise from this approach. Closed-form solutions for simply supported beams are obtained using Navier’s solution method. A MATLAB program is developed based on the present formulation to generate numerical results. A comparison result of present 5th OSDTs and those of the 3rd OSDTs, FSDT, and CBT are presented. The inclusion of transverse normal strain into the theory resulted in significant variation in the displacements and stresses of laminated and sandwich beams when compared to the results predicted from the lower-order theories discarding transverse normal strain.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142963162","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

Anti-plane elastic field of a cylindrical inhomogeneity within first strain-gradient theory: exact solution vs. extended equivalent inclusion method 第一应变梯度理论中圆柱非均匀性的反平面弹性场：精确解与扩展等效包含法

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-13 DOI: 10.1007/s00419-025-02757-z

M. R. Delfani, M. Karami

{"title":"Anti-plane elastic field of a cylindrical inhomogeneity within first strain-gradient theory: exact solution vs. extended equivalent inclusion method","authors":"M. R. Delfani, M. Karami","doi":"10.1007/s00419-025-02757-z","DOIUrl":"10.1007/s00419-025-02757-z","url":null,"abstract":"<div><p>Determination of the elastic field developed in a heterogeneous material provides useful information for calculating its overall elastic properties. When dimensions of inhomogeneities in such a material are comparable to the intrinsic length scale of its constituents, classical elasticity ceases to produce reliable solutions. Mindlin’s first strain-gradient elasticity, as an enhanced continuum mechanics theory, has proved its success in dealing with such a problem. Hence, this theory is utilized in the present paper to obtain an exact solution of the elastic displacement field induced in an infinite isotropic medium that contains a circular cylindrical inhomogeneity and is subjected to an anti-plane loading. The obtained solution demonstrates the size effect on the elastic field of the medium. On the other hand, an extended version of the equivalent inclusion method which is adapted to Mindlin’s first strain-gradient theory is developed to attack the same problem, leading to an approximate solution. Subsequently, by solving some numerical examples, a comparison between these exact and approximate solutions is provided in this paper.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 2","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142963160","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

Snap-through of a bistable beam using piezoelectric actuators: modeling and optimization 使用压电致动器的双稳梁的通断：建模和优化

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-08 DOI: 10.1007/s00419-024-02747-7

A. Amor, A. Fernandes, J. Pouget

{"title":"Snap-through of a bistable beam using piezoelectric actuators: modeling and optimization","authors":"A. Amor, A. Fernandes, J. Pouget","doi":"10.1007/s00419-024-02747-7","DOIUrl":"10.1007/s00419-024-02747-7","url":null,"abstract":"<div><p>In the study, we report the snap-through effect of a bistable beam by means of piezoelectric actuators. We first consider a bistable mechanism consisting of a buckled elastic thin beam. The latter is symmetrically equipped with two piezoelectric layers. The electric potential applied on the faces of the piezoelectric actuators is such as a moment at each end of the active layers is produced. The modeling of the elastic beam is based on the elastica theory. The main goal of the study is the investigation of the bistable response according to the applied electric voltage and the configurational parameters. A numerical study is proposed based on the equation of the beam model sandwiched by two piezoelectric layers, and a numerical validation of the model approach is performed using the finite element method. An optimization study is reported for the placement of the piezoelectric actuators as well as their dimensions (length and thickness). We look for the position of the piezoelectric actuators that minimizes the applied voltage to trigger the snap-through and maximize the beam deflection. The work is extended to the bistable actuation using two pairs of piezoelectric elements.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939043","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

Tensorial inversion of fourth-order material tensor: orthotropy and transverse isotropy 四阶材料张量的张量反演：正交各向异性和横向各向同性

IF 2.2 3区工程技术

Archive of Applied Mechanics Pub Date : 2025-01-07 DOI: 10.1007/s00419-024-02745-9

Stefan Hartmann, Jörg Schröder

{"title":"Tensorial inversion of fourth-order material tensor: orthotropy and transverse isotropy","authors":"Stefan Hartmann, Jörg Schröder","doi":"10.1007/s00419-024-02745-9","DOIUrl":"10.1007/s00419-024-02745-9","url":null,"abstract":"<div><p>In the theory of anisotropic linear elasticity, there are different approaches to define the elasticity in a coordinate-dependent relation by matrices—commonly, the Voigt-notation—or tensorial expressions using fourth-order tensors. In view of numerical treatment, for example, the finite element method, the stress state is defined by the strain state via the fourth-order elasticity tensor, <span>(textbf{T} = {pmb {mathcal {{C}}}} textbf{E})</span>. In view of analytical considerations required, for instance, for parameter identification purposes, the inverse relation <span>(textbf{E} = {pmb {mathcal {{C}}}}^{-1} textbf{T})</span> is necessary. In this paper, the inversion of the fourth-order representation is developed in a coordinate-free representation. using the concept of invariant theory, which is based on the principal invariants and the so-called mixed invariants of the strain tensor/stress tensor. The mixed invariants are defined in terms of the structural tensors, which represent the preferred directions of the material under consideration. The advantage here is that the constitutive equations for the anisotropic material (which are invariant under the elements of the material symmetry group) can be represented as isotopic tensor functions. Thus, the compliance tensor <span>({pmb {mathcal {{C}}}}^{-1})</span> can be obtained for any orientation of the anisotropy axes. We limit ourselves here to the case of transverse isotropy and orthotropy in a coordinate invariant representation.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-024-02745-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142938767","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