Acta Mechanica最新文献

Editorial preface: advances in modeling, experiments, and computational mechanics of highly flexible slender structures 编辑序言：在建模，实验和计算力学的进展高度柔性细长结构

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-10-12 DOI: 10.1007/s00707-026-04895-z

Vanessa Dörlich, Christoph Meier, Francesco Dal Corso, Yury Vetyukov

引用次数: 0

Analytical free vibration analysis of planar taut two-span cables 平面张紧双跨索的解析自由振动分析

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-09-02 DOI: 10.1007/s00707-026-04881-5

M. Wenin, M. Patreider, C. Adam, T. Furtmüller

引用次数: 0

The asymptotic expansion method for curved and tapered beams: an overview 曲线和锥形梁的渐近展开法：综述

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-09-01 DOI: 10.1007/s00707-026-04880-6

Laila Limni, Mohammed-Khalil Ferradi

{"title":"The asymptotic expansion method for curved and tapered beams: an overview","authors":"Laila Limni, Mohammed-Khalil Ferradi","doi":"10.1007/s00707-026-04880-6","DOIUrl":"10.1007/s00707-026-04880-6","url":null,"abstract":"<div><p>The asymptotic expansion method (AEM) is a useful approach for deriving enriched beam models from the full 3D mechanical problem. First developed for straight prismatic beams, it makes it possible to obtain sectional modes able to represent classical beam behavior together with local three-dimensional effects. In this paper, an overview is presented for two extensions of the AEM to more complex beam geometries: curved beams and tapered beams. In the curved beam case, the formulation accounts for the effect of curvature through a curvilinear description of the geometry, which leads to additional coupling effects in the mechanical response. In the tapered beam case, the variation in the cross section along the beam length generates correction modes that enrich the classical Saint-Venant solution. The main ideas of both formulations are summarized, highlighting the geometrical description, the asymptotic procedure, and the form of the resulting displacement and stress modes. The comparison shows that the same AEM framework can be adapted to different geometrical configurations, while the additional modes remain strongly linked to the considered geometric effect.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 10","pages":"6195 - 6227"},"PeriodicalIF":4.0,"publicationDate":"2026-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149309468","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

On the uniqueness of stress and entropy flux at the type II thermoelasticty 论II型热弹性应力和熵通量的唯一性

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-08-25 DOI: 10.1007/s00707-026-04858-4

José R. Fernández, Ramón Quintanilla

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A three-dimensional morphoelastic model for self-oscillations in polyelectrolyte hydrogel filaments 聚电解质水凝胶细丝自振荡的三维形态弹性模型

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-08-17 DOI: 10.1007/s00707-026-04851-x

Ariel Surya Boiardi, Roberto Marchello, Pietro Maria Santucci, Davide Riccobelli, Giovanni Noselli

{"title":"A three-dimensional morphoelastic model for self-oscillations in polyelectrolyte hydrogel filaments","authors":"Ariel Surya Boiardi, Roberto Marchello, Pietro Maria Santucci, Davide Riccobelli, Giovanni Noselli","doi":"10.1007/s00707-026-04851-x","DOIUrl":"10.1007/s00707-026-04851-x","url":null,"abstract":"<div><p>We introduce a three-dimensional model for polyelectrolyte hydrogel filaments operating in a fluid environment under an electric field. The formulation builds on a morphoelastic framework for inextensible and unshearable rods, such that the filament’s activity is encoded in electric field-induced spontaneous curvatures, while hydrodynamic interactions are captured via a local approximation of Stokes flows. We employ this framework to investigate the prototypical case of a filament with elliptical cross-section clamped at its base. Under a constant and uniform electric field aligned with its axis, the filament undergoes flutter instability beyond a critical field strength, as revealed by a linear stability analysis. Depending on the model parameters, the instability is characterized by either two- or three-dimensional self-sustained oscillations. We further examine this behaviour through numerical simulations in the post-critical regime, showing that flutter may develop into large amplitude planar oscillations or more complex three-dimensional motions, through a secondary bifurcation. Although the study represents a first step towards extending state-of-the-art models for polyelectrolyte hydrogel filaments to three dimensions, the richness of the resulting dynamics achievable under time-independent forcing underscores the potential of the proposed actuation mechanism for the design of biomimetic cilia and soft robotic systems.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 10","pages":"6459 - 6476"},"PeriodicalIF":4.0,"publicationDate":"2026-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-026-04851-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149310093","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

An ALE-frictional beam formulation using an augmented Lagrangian approach for guided cables 利用增广拉格朗日方法求解导索的ale -摩擦梁公式

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-08-16 DOI: 10.1007/s00707-026-04860-w

Olivier Devigne, Olivier Brüls

{"title":"An ALE-frictional beam formulation using an augmented Lagrangian approach for guided cables","authors":"Olivier Devigne, Olivier Brüls","doi":"10.1007/s00707-026-04860-w","DOIUrl":"10.1007/s00707-026-04860-w","url":null,"abstract":"<div><p>This paper proposes a novel arbitrary Lagrangian–Eulerian (ALE) frictional beam formulation for the quasi-static simulation of cable-actuated systems. While classical Lagrangian finite element formulations are often inefficient for modeling cables moving through contact patches due to the requirement for global mesh refinement, the proposed ALE formalism describes both the spatial motion of the nodes and the material flow through the mesh. The formulation is based on a geometrically exact beam model defined on the special Euclidean group <i>SE</i>(3). To rigorously capture stick–slip transitions and strictly enforce Coulomb’s law without the need for numerical regularization or <i>ad hoc</i> penalty parameters, the friction law is introduced using a nonsmooth augmented Lagrangian framework. The contact model is developed for systems where the location of the contact patch is known <i>a priori</i>, such as cable-pulley systems, cables moving through linear guiding elements, and cables sliding inside sleeves or through eyelets. In all these cases, the cable interacts with a guiding element attached to a support by a kinematic joint with at most one degree of freedom. Numerical results are presented for several quasi-static test cases, including a cable on a conveyor belt, a driving-driven pulley system, and a beam sliding in a sleeve. These results illustrate the capability of the formulation to capture stick–slip transitions in the contact zones, Eshelby configurational forces and hysteresis loops arising under cyclic loading.\u0000</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 10","pages":"6267 - 6298"},"PeriodicalIF":4.0,"publicationDate":"2026-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149310506","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

Numerical analysis of vibrations of a moving blade in a narrow lubricated gap under parametric and follower load excitations 参数和从动载荷激励下窄润滑间隙动叶片振动的数值分析

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-08-10 DOI: 10.1007/s00707-026-04850-y

Jakob Scheidl, Alois Steindl

{"title":"Numerical analysis of vibrations of a moving blade in a narrow lubricated gap under parametric and follower load excitations","authors":"Jakob Scheidl, Alois Steindl","doi":"10.1007/s00707-026-04850-y","DOIUrl":"10.1007/s00707-026-04850-y","url":null,"abstract":"<div><p>A planar fluid–structure-interaction problem inspired by metal bandsawing is considered. The model consists of a blade that is moving through a narrow fully lubricated gap and subjected to axial parametric excitations and distributed follower loads. The blade is modelled as an unshearable beam. One-dimensional, incompressible Reynolds lubrication theory governs the accompanying quasi-hydrostatic fluid problem. A Hermitian finite element model is used to discretize the coupled variational problem in space. Linear modal analysis, numerical time-integration procedures of time-periodic boundary value problems and continuation techniques are utilized to estimate the effect of the fluid lubrication film on linear dynamics and in cases of self-excited vibrations and parametric excitation. The mechanical capacity of the fluid film is characterised by the dimensionless effective viscosity, which induces significant damping of the primary vibration modes; small internal damping of the bending blade is considered as well. The study highlights the theoretical and as-yet unexploited potential of a fully established lubrication film for cutting processes.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 10","pages":"6403 - 6420"},"PeriodicalIF":4.0,"publicationDate":"2026-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-026-04850-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149309739","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

Modelling and numerical simulation of the dynamics of long slender continua in high-rise vertical transportation systems under seismic excitations 地震作用下高层垂直输送系统长细长连续体动力学的建模与数值模拟

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-08-08 DOI: 10.1007/s00707-026-04843-x

Stefan Kaczmarczyk

引用次数: 0

Deformation effects in pressurized, fiber-reinforced and preformed hoses: from 3D continuum simulations to experiments 加压、纤维增强和预制软管中的变形效应：从三维连续体模拟到实验

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-08-06 DOI: 10.1007/s00707-026-04842-y

Quirin Hoesch, Michael Roller, Fabio Schneider-Jung, Joachim Linn, Ralf Müller

{"title":"Deformation effects in pressurized, fiber-reinforced and preformed hoses: from 3D continuum simulations to experiments","authors":"Quirin Hoesch, Michael Roller, Fabio Schneider-Jung, Joachim Linn, Ralf Müller","doi":"10.1007/s00707-026-04842-y","DOIUrl":"10.1007/s00707-026-04842-y","url":null,"abstract":"<div><p>This work investigates how curvature, internal pressure and fiber reinforcements affect the deformation behavior of hoses, factors that in combination cannot be adequately represented using geometrically exact rod models. Therefore, we analytically describe the dominant deformation mechanisms in curved hoses, modeled as toroidal components. The coupling between curvature and internal pressure generates an outward shear force and induces characteristic cross-sectional deformations arising from the inherently coupled axial and radial response of the closed-ring toroidal structure. Additionally, curvature changes the local fiber orientation, leading to a variation of the helical wrapping angle. Moreover, we investigate the interaction between internal pressure, curvature and helical reinforcements, showing that the toroidal neutral wrapping angle establishes an isotensoidal stress state by balancing axial and circumferential stresses. The analytical results are assessed through pressurized hose experiments supported by computed tomography (CT)-based fiber structure characterization. The predicted deformation patterns are validated using high-resolution 3D continuum finite-element models with suitable homogenization of the fiber reinforcements and sensitivity-based identification of the material parameters.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 10","pages":"6437 - 6458"},"PeriodicalIF":4.0,"publicationDate":"2026-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-026-04842-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149310059","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

A segmentwise strategy for roll forming simulations with mixed Eulerian–Lagrangian kinematics 基于欧拉-拉格朗日混合运动学的滚动成形分段仿真策略

IF 4 3区工程技术

Acta Mechanica Pub Date : 2026-08-03 DOI: 10.1007/s00707-026-04844-w

Manuel Strondl, Jakob Scheidl

{"title":"A segmentwise strategy for roll forming simulations with mixed Eulerian–Lagrangian kinematics","authors":"Manuel Strondl, Jakob Scheidl","doi":"10.1007/s00707-026-04844-w","DOIUrl":"10.1007/s00707-026-04844-w","url":null,"abstract":"<div><p>A non-material shell finite element model is devised for the numerical simulation of industrial roll forming lines. The simulation model is designed to facilitate the time-efficient simulation of large forming lines and features: a mixed Eulerian–Lagrangian description of primary fields, shell finite elements based on the Kirchhoff–Love theory, a reduced stress-resultant plasticity model designed for bending-dominant forming operations of thin structures, a geometrically accurate penalty contact formulation to resolve the frictionless interaction in the forming gaps and a novel segmentation strategy. A Newton–Raphson scheme with operator split is employed to compute a sequence of quasi-static equilibria that gradually approach the steady-state solution; the Eulerian phase of the operator split accounts for the downstream transport of plastic variables through the non-material mesh. The novel segmentation approach features a cyclic marching strategy to perform sequential simulations of overlapping sub-models. It reduces the computational effort for large-scale models and facilitates parameter studies for designated parts of a forming line. Numerical results obtained for a benchmark problem with six forming stands demonstrate the excellent agreement of segmentwise simulations with the global simulation of the entire forming line. The scaling of the computation time with the length of a forming line is investigated to estimate the utility of the marching strategy for even larger configurations.</p></div>","PeriodicalId":456,"journal":{"name":"Acta Mechanica","volume":"237 10","pages":"6325 - 6345"},"PeriodicalIF":4.0,"publicationDate":"2026-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00707-026-04844-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149309677","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