Archive of Applied Mechanics最新文献

{"title":"Multi-scale Mohr–Coulomb strength criterion considering particle characteristic for soil","authors":"Deluan Feng,&nbsp;Lirui Zhou,&nbsp;Shihua Liang","doi":"10.1007/s00419-024-02750-y","DOIUrl":"10.1007/s00419-024-02750-y","url":null,"abstract":"<div><p>Soil is a multi-scale granular material and has dramatic particulate and structural characteristics. Soil particles are divided into matrix and reinforcing particles to establish a multi-scale soil cell model according to the mechanical effect generated by the interaction between soil particles at various scales and the physical mechanism at different structural levels of soil. A multi-scale Mohr–Coulomb strength criterion (MCSC) that accounts for the particle size of soil is proposed by using the soil cell model. A series of soil cell samples are prepared to conduct consolidated and undrained tri-axial compression test to determine the model parameters. The yield locus of the multi-scale MCSC is drawn on the deviatoric plan based on the theoretical analysis and test results. Results show that the yield locus of the multi-scale MCSC is also hexagonal and expands with the decrease in the size of the reinforcing particle and the increase in the volume fraction of these particles. In this regard, the multi-scale MCSC can relate the microscopic physical details of soil to its macroscopic shear strength.</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":"142995179","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}

{"title":"Dynamic strength of lined tunnel in hard rock medium under cylindrical unloading waves with visco-elastic interface effect","authors":"Xue-Qian Fang,&nbsp;Xin-Yu Liu,&nbsp;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}

{"title":"Assembly damage assessment of composite plates using uncertainty quantification and statistical analysis","authors":"Xin Tong,&nbsp;Jianfeng Yu,&nbsp;Shengqiang Cui,&nbsp;Dong Xue,&nbsp;Jie Zhang,&nbsp;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}

{"title":"Displacement and stress analysis of laminated and sandwich beams under various mechanical loads using a quasi-2D theory","authors":"Param D. Gajbhiye,&nbsp;Nitesh Yelve,&nbsp;Yuwaraj M. Ghugal,&nbsp;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}

{"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,&nbsp;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}

{"title":"Snap-through of a bistable beam using piezoelectric actuators: modeling and optimization","authors":"A. Amor,&nbsp;A. Fernandes,&nbsp;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}

{"title":"Tensorial inversion of fourth-order material tensor: orthotropy and transverse isotropy","authors":"Stefan Hartmann,&nbsp;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}

{"title":"Multimodal suppression of the vibroacoustic response of the composite laminated plate using negative capacitance shunts","authors":"Zhengmin Hu,&nbsp;Bin Dong,&nbsp;Kai Zhou,&nbsp;Yong Chen","doi":"10.1007/s00419-024-02742-y","DOIUrl":"10.1007/s00419-024-02742-y","url":null,"abstract":"<div><p>This paper investigates the multimodal suppression of the vibroacoustic response of the composite laminated plate using negative capacitance shunts. By means of the energy method and the modified Fourier series method, a semi-analytical electromechanical coupled model is proposed to solve the vibroacoustic response of the laminated plate with multiple shunted piezoelectric patches and general boundary conditions. Three different forms of electromechanical coupled governing equations are derived based on Hamilton’s principle. The proposed model is proven accurate and versatile by comparing the results obtained by the present model with those from FEM and available references. Then, the strain function that directly determines the positions where piezoelectric patches are placed is derived. The influences of placement positions and the negative capacitance parameter on the suppression performance of the shunt are discussed. Finally, multiple shunted piezoelectric patches with the negative capacitance shunt are employed to suppress the multimodal vibroacoustic response of the composite laminated plate. Each shunted piezoelectric patch is placed at the position with large strain function values and is tuned to control a single corresponding mode. As a result, the multimodal vibroacoustic responses of the composite laminated plate with different boundary conditions are all significantly suppressed. The present study provides new insights into the issue of broadband vibration and noise control of composite laminated plate structures in industrial applications.</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":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142938768","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}

{"title":"Effects of bedding plane dip angle and lithology on the mechanical and micro-failure behavior of stratified rock under uniaxial compression test","authors":"Yaoyao Meng,&nbsp;Hao Chen,&nbsp;Hongwen Jing,&nbsp;Qian Yin,&nbsp;Xiaowei Liu,&nbsp;Ke Ding","doi":"10.1007/s00419-024-02754-8","DOIUrl":"10.1007/s00419-024-02754-8","url":null,"abstract":"<div><p>To investigate the mechanical and micro-failure behavior of stratified rock, a series of uniaxial compression and CT scanning tests of stratified limestone and sandstone at different bedding plane dip angles (<i>α</i>) were conducted. The experimental results showed that with the increasing <i>α</i>, uniaxial compressive strength (UCS), peak strain (<i>ε</i>_1p), Poisson’s ratio (<i>μ</i>) of stratified limestone and sandstone all first decreased and then increased, elastic modulus (<i>E</i>) of stratified limestone continuously increased, <i>E</i> of stratified sandstone first decreased and then increased. At different <i>α</i>, UCS and <i>E</i> of stratified limestone were larger than that of stratified sandstone, <i>ε</i>_1p and <i>μ</i> of stratified limestone were smaller than that of stratified sandstone. For stratified limestone, anisotropy coefficient of <i>μ</i> was the largest and anisotropy coefficient of <i>E</i> was the smallest. For stratified sandstone, anisotropy coefficient of <i>ε</i>_1p was the largest and anisotropy coefficient of <i>E</i> was the smallest. Anisotropy degree of stratified limestone and sandstone was approaching for UCS. Anisotropy degree of stratified limestone was larger than stratified sandstone for <i>ε</i>_1p and <i>μ</i>. Anisotropy degree of stratified limestone was smaller than stratified sandstone for <i>E</i>. The failure category of stratified limestone and sandstone at different <i>α</i> was quite different. Due to differences in failure mode, the morphology and distribution characteristics of micro-cracks along the sample height showed a significant difference. With the increasing <i>α</i>, volume fraction (VF) and the maximum area fraction (AF) first decreased and then increased for stratified limestone, and showed no obvious change trend for stratified sandstone. At <i>α</i> = 0º, 30º, 90º, VF and the maximum AF of stratified limestone were significantly larger than that of stratified sandstone. At <i>α</i> = 60º, VF and the maximum AF of stratified sandstone were larger than that of stratified limestone.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939175","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}

{"title":"Flow of a micropolar drop in an impermeable micropolar circular pipe","authors":"Ahmed G. Salem","doi":"10.1007/s00419-024-02738-8","DOIUrl":"10.1007/s00419-024-02738-8","url":null,"abstract":"<div><p>In light of the blood cells motion inside the vein or artery, there is no knowledge available about the importance of the flow of a non-deformable micropolar drop inside a circular cylindrical pipe filled with a micropolar fluid. This paper provides a two-fluid phase motion problem of an axially symmetrical quasisteady movement of a micro-structure fluid drop embedded in another micro-structure fluid of micropolar kind on the axis of an impermeable cylindrical pipe that is discussed under the low Reynolds number conditions. The interfacial tension between the immiscible fluid phases at the drop’s interface is assumed to be very large to ensure that the droplet remains spherical in shape. Also, the microrotation and couple stress relations at the droplet’s interface are used. The general solutions for the differential equations are fulfilled by the stream functions of the micropolar fluids, which are constructed by combining fundamental solutions in cylindrical and spherical coordinates, and then the conditions on the boundaries are fulfilled at the inner surface of the pipe by the Fourier-transform and also at the interface of the drop using collocation methods. The paper’s significance is to discuss and see the effectiveness of the pipe’s inner surface on the hydrodynamic normalised force influencing the drop sphere because of its filling with and existence in a micropolar fluid. Findings indicate that the hydrodynamic normalised force is increasing monotonically with the increase of the droplet-to-pipe radius ratio, and tends to infinity when the droplet’s interface touches the pipe’s inner surface. Additionally, the findings show that when the micropolarity parameters increase, so does the normalised drag force. Our findings for the normalised force agree well with the solutions that are provided in publications. The current study is also significant in the domains of industrial and biomedical operations like coagulation, sedimentation, and rheology of suspension, to name a few.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2025-01-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-024-02738-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939161","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}