Article
Materials Science, Ceramics
Gustavo P. Carmo, Joana Mesquita-Guimaraes, Joana Baltazar, Susana M. Olhero, Pedro Antunes, Paula M. C. Torres, Sonia Gouveia, Joao Dias-de-Oliveira, Joaquim Pinho-da-Cruz
Summary: This work utilizes numerical procedures to predict the effective thermoelastic properties of 3D-printed alumina-zirconia ceramics. The study analyzes the influence of different scales (micro-, mesoand macroscale) on the material's thermoelastic properties. Experimental, numerical, and analytical methods are used to obtain and compare the results.
CERAMICS INTERNATIONAL
(2023)
Article
Engineering, Mechanical
S. Falco, N. Fogell, S. Kasinos, L. Iannucci
Summary: This paper presents an approach to evaluate the macroscopic properties of ceramic materials based on micromechanical simulations performed on Representative Volume Elements (RVEs). The results show good agreement between numerical simulations, experimental measurements, and analytical calculations, providing an effective prediction of elastic deformation and brittle failure behavior.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2022)
Article
Engineering, Civil
Anastasios Drougkas, Vasilis Sarhosis, Antonella D'Alessandro, Filippo Ubertini
Summary: This study proposes an inclusion-based homogenisation scheme for masonry structures, which can simulate the stress and damage state of masonry materials at a low computational cost. The model is validated against experimental results and shows accurate prediction of elastic properties and load-bearing capacity, as well as favorable comparison with finite element analysis.
Article
Materials Science, Multidisciplinary
Anastasios Drougkas, Vasilis Sarhosis, Georgia Thermou
Summary: The homogenisation scheme based on inclusion modelling, coupled with constitutive laws for damage, has been successfully implemented in a finite element model to simulate the damage in concrete and reinforcement bars in reinforced concrete structures. The model achieves accurate results with low computational cost, capturing the main characteristics and damage of the constituent materials of reinforced concrete.
MATERIALS TODAY COMMUNICATIONS
(2022)
Article
Engineering, Mechanical
Yu Geng, Wei Chen
Summary: A new method combining the finite cell method with the Fischer-Burmeister-Newton-Schur algorithm (FCM-FBNS) was developed to solve the multiscale problem of modeling surface texture with mass-conserving cavitation. Numerical experiments showed that FCM-FBNS has strong robustness and high computational efficiency. It is suitable for parallel processing and has a flexible meshing strategy for complex geometries.
TRIBOLOGY INTERNATIONAL
(2022)
Article
Mathematics, Interdisciplinary Applications
A. S. Nemov, A. Borovkov, B. A. Schrefler
Summary: A computationally effective approach to multiscale thermoelastic modelling of composite structures is applied to the thermomechanical analysis of two ITER superconducting strands. The method solves homogenisation and recovering problems using the fundamental solutions method. A general procedure of multiscale analysis is described and applied to recover stress at the microscopic scale.
COMPUTATIONAL MECHANICS
(2022)
Article
Construction & Building Technology
P. S. M. Thilakarathna, P. Mendis, H. Lee, E. R. K. Chandrathilaka, V. Vimonsatit, K. S. Kristombu Baduge
Summary: In this paper, a multiscale modelling method is proposed to predict the macroscopic elastic modulus of Ultra-High Strength Concrete (UHSC). By using techniques such as nanoindentation experiments, hydration simulations, scanning electron microscopy, and finite element modelling, the macroscopic and microstructural characteristics of UHSC are investigated. The analysis of material response at different scales provides a better understanding of the contribution to the macroscopic behavior of UHSC.
CONSTRUCTION AND BUILDING MATERIALS
(2022)
Article
Engineering, Civil
Da Chen, Shahed Rezaei, Philipp L. Rosendahl, Bai-Xiang Xu, Jens Schneider
Summary: This paper combines finite element homogenisation and structural assessments to conduct multiscale modelling of laminated functionally graded porous beams made of closed-cell foams. The study focuses on the beam buckling and vibration performances. The results show that the relative density is the dominating factor in calculating the foam modulus, and quantitative relations between pore structure and Young's modulus are obtained. The graded porosities in the FG beams contribute to significant increases in beam stiffness.
ENGINEERING STRUCTURES
(2022)
Review
Engineering, Mechanical
Jose Antonio Franca Araujo, Marcelo Cavalcanti Rodrigues, Raul Bernardo de Pontes Pires
Summary: Investigated the yield stress of the mast of an oil and gas production rig, which is manufactured with a composite material made of a metal matrix and randomly distributed spherical inclusions. Used the Mori-Tanaka homogenization scheme to obtain effective elastic properties and analyzed the overall behavior of the mast using the finite element method. Results showed that using the composite material increased the mast yield and buckling safety coefficient by 16.26% and 8.56% respectively, compared to using only the metal matrix.
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING
(2023)
Article
Materials Science, Multidisciplinary
Pierfrancesco Gaziano, Elisabetta Monaldo, Cristina Falcinelli, Giuseppe Vairo
Summary: In this paper, a multiscale modelling strategy is used to analyze the elasto-damage response of osteons, providing a refined mechanical description of cortical bone tissue. The structural features of osteons and the equivalent mechanical response of their constituents are described. Finite-element techniques are used to simulate the experimental tests of isolated osteons under different loading conditions.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2022)
Article
Computer Science, Interdisciplinary Applications
Djulustan Nikiforov
Summary: In this paper, a new multiscale approach with a meshfree coarse scale is proposed. The approach is based on the Generalized Multiscale Finite Element Method (GMsFEM), which takes into account the heterogeneous parameters of the problem on a coarse scale using multiscale basis functions. The Discrete Fracture Model (DFM) is employed to represent fractures on a fine grid. Numerical solutions for two-dimensional and three-dimensional problems are presented.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Nanoscience & Nanotechnology
Yang Liu, Weifeng Wan, Fionn P. E. Dunne
Summary: This study investigates the intrinsic crystal slip system properties and their influence on stress, stress relaxation, and strain rate sensitivity (SRS) using experimental testing, digital image correlation strain measurement, electron backscatter detection, and crystal plasticity modelling. The findings show that Zircaloy-4 exhibits significant SRS behavior, which is accurately captured by the polycrystal plasticity model. The model also predicts the effects of texture and slip system activation on lattice strain rate sensitivities.
MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING
(2022)
Article
Mathematics, Applied
Yuxiang Chen, Zhihao Ge
Summary: In this paper, a multiphysics finite element method is proposed for the quasi-static thermoporoelasticity model with small Peclet number. The method is proved to have existence, uniqueness, stability and optimal convergence order. Numerical examples are provided to verify the theoretical results.
JOURNAL OF SCIENTIFIC COMPUTING
(2022)
Review
Chemistry, Physical
Jacob Fish, Gregory J. Wagner, Sinan Keten
Summary: Multiscale modelling is a powerful tool for simulating materials behavior across different length and time scales. It aims to simulate continuum-scale behavior using information from computational models of finer scales, rather than relying on empirical constitutive models. Various methods have been developed to bridge multiple length and time scales, including techniques integrating new fields such as machine learning and material design.
Article
Engineering, Manufacturing
S. Z. H. Shah, P. S. M. Megat-Yusoff, S. Karuppanan, R. S. Choudhry, Z. Sajid
Summary: This study introduces a multiscale progressive damage modelling methodology for 3D woven composites, which accurately simulates the damage response. The model combines global analysis with local damage response and has been validated through experiments on different composite materials to demonstrate its accuracy and efficiency.
COMPOSITES PART A-APPLIED SCIENCE AND MANUFACTURING
(2021)
Article
Materials Science, Multidisciplinary
Murtadha J. Al-Chlaihawi, Heiko Topol, Hasan Demirkoparan, Jose Merodio
Summary: The influence of swelling on the prismatic and bending bifurcation modes of inflated thin-walled cylinders under axial loading is examined. The bifurcation criteria for a membrane cylinder subjected to combined axial loading, internal pressure, and swelling is provided. The analysis of bifurcation modes for different fiber reinforcing models is conducted, showing that prismatic bifurcation is only feasible for a specific model while bending bifurcation is possible for both models.
MATHEMATICS AND MECHANICS OF SOLIDS
(2023)
Article
Mathematics, Interdisciplinary Applications
Hamidreza Dehghani, Andreas Zilian
Summary: This contribution introduces and discusses a formulation of poro-hyperelasticity at finite strains. The formulation considers the time-dependent response of such media, taking into account their multi-scale and multi-physics parameters. The approach involves formulating a non-dimensionalised fluid-solid interaction problem at the pore level and expanding and analysing the resulting systems of PDEs on the reference configuration. The study also proposes a data-driven approach using an artificial neural network to overcome computational challenges.
COMPUTATIONAL MECHANICS
(2023)
Article
Materials Science, Multidisciplinary
Yangkun Du, Peter Stewart, Nicholas A. Hill, Huabing Yin, Raimondo Penta, Jakub Kory, Xiaoyu Luo, Raymond Ogden
Summary: This paper investigates the application of the classical problem of indentation on an elastic substrate in the field of Atomic Force Microscopy. It highlights that linearly elastic models are insufficient for predicting force-displacement relationships at large indentation depths and suggests a nonlinear indentation model for hyperelastic materials. The authors propose a solution for second-order amplitude deformations and material nonlinearity using second-order elasticity theory, and derive analytical solutions using parabolic or quartic surfaces to mimic a spherical indenter. The results show good agreement with finite element simulations.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Mechanics
Robin Schulte, Cavid Karca, Richard Ostwald, Andreas Menzel
Summary: A hybrid strategy for identifying material parameters is proposed, which uses an artificial neural network to approximate the solution of the inverse problem and generate starting values for an optimization-based approach. The advantage of this strategy is that the network only needs to be trained once per material model and can be applied to different materials.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2023)
Article
Materials Science, Multidisciplinary
Carina Witt, Tobias Kaiser, Andreas Menzel
Summary: Remodelling is an essential process for bone maintenance and repair. It has been recognized that the piezoelectric characteristic of bones can initiate bone remodelling. Recent studies, however, have shown that cortical bone also exhibits flexoelectric properties, which can lead to osteocyte apoptosis and initiate remodelling processes. A novel modelling approach is presented to study flexoelectricity-induced bone remodelling, considering the chemo-electro-mechanical coupling of bone cells and their migration towards the remodelling site.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Mechanics
N. K. Jha, S. Moradalizadeh, J. Reinoso, H. Topol, J. Merodio
Summary: In this study, the helical stability of elastic cylinders is examined using numerical methods. A numerical scheme based on the modified Riks procedure is used to investigate a doubly fiber-reinforced incompressible nonlinear elastic tube under axial loading, internal pressure, and twist. The study shows that the complex morphologies formed by the vessels can be highly unstable due to the nonlinear interaction among multiple bifurcation modes. The results also demonstrate that the applied pressure, axial stretch, and twist have a significant impact on these bifurcations.
MECHANICS RESEARCH COMMUNICATIONS
(2023)
Article
Multidisciplinary Sciences
M. H. B. M. Shariff, J. Merodio, R. Bustamante
Summary: In the past, fibre stiffness of finite-radius fibres was modelled using nonlinear models based on strain-gradient theory or Kirchhoff rod theory. However, these models have limitations in characterizing the mechanical behaviour of non-polar elastic solids with finite-radius fibres. This paper proposes a simple and realistic constitutive equation for non-polar elastic solids reinforced by embedded fibres, without using the second gradient theory.
SCIENTIFIC REPORTS
(2023)
Article
Multidisciplinary Sciences
Mohd Halim Bin Mohd Shariff, Jose Merodio, Roger Bustamante, Aymen Laadhari
Summary: The study of the mechanical behavior of fibre-reinforced electroactive polymers (EAPs) with bending stiffness is important for mechanical design and problem solving in engineering. However, there is a lack of constitutive models for fibre-reinforced EAPs with fibre bending stiffness in the existing literature. Therefore, it is crucial to develop a relevant constitutive equation to enhance the understanding of their mechanical behavior. In this paper, a constitutive equation is proposed for a nonlinear nonpolar EAP reinforced by embedded fibres, considering the elastic resistance of the fibres to bending without using the second gradient theory that assumes the existence of contact torques. This model is simpler and more realistic, particularly for nonpolar EAPs where contact torques do not exist.
Article
Engineering, Multidisciplinary
Leon Sprave, Andreas Menzel
Summary: A novel anisotropic ductile damage model at finite strains is proposed in this work, which includes the deformation induced evolution of anisotropic damage properties. The model elaborates different effective driving forces for plasticity and damage within a two-surface formulation. The model's implementation into a finite element formulation is discussed, with the inclusion of gradient-enhancements to address mesh-dependency issues.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Thorsten Bartel, Marius Harnisch, Ben Schweizer, Andreas Menzel
Summary: Data-driven methods and algorithms have great potential for advancing the modeling and simulation of complex mechanical systems. However, in order to fully utilize this potential, these methods need to be extended to consider inelastic and path-dependent material behavior. This paper proposes a method that defines a history surrogate and a propagator to transfer the effect of history variables to the data-driven framework. The method retains the structure of the data-driven algorithm for elastic material behavior, allowing for easy extension of existing program codes.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mechanics
Heiko Topol, Hadi Asghari, Marcus Stoffel, Bernd Markert, Jose Merodio
Summary: This article investigates the process of bubbling and bifurcation in a cylindrical membrane consisting of isotropic ground substance and fibers. It finds that material properties, fiber pre-stretch, fiber dispersion, and loading have significant effects on the initiation and post-bifurcation behavior.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2023)
Article
Materials Science, Multidisciplinary
Soheil Moradalizadeh, Heiko Topol, Hasan Demirkoparan, Andrey Melnikov, Bernd Markert, Jose Merodio
Summary: This article investigates the mechanical behavior of a tubular membrane defined by a strain energy density function. The membrane is subjected to inner pressure, axial stretch, and material volume change. The study reveals that the material volume change strongly influences the occurrence of instability modes.
MATHEMATICS AND MECHANICS OF SOLIDS
(2023)
Article
Engineering, Mechanical
Hadi Asghari, Heiko Topol, Bernd Markert, Jose Merodio
Summary: This paper applies Sobol method and the Fourier Amplitude Sensitivity Test (FAST) method to analyze the influence of input parameters on the output variable in the problem of mixed extension, inflation, and torsion of a circular cylindrical tube with residual stress. The input parameters are distributed according to uniform, gamma, and normal distributions. The most influential factors are determined using Sobol and FAST methods, and the bias and standard deviation of Sobol and FAST indices are calculated to assess the results.
PROBABILISTIC ENGINEERING MECHANICS
(2023)
Article
Chemistry, Physical
Laura Miller, Ariel Ramirez-Torres, Reinaldo Rodriguez-Ramos, Raimondo Penta
Summary: This paper derives the governing equations for the overall behavior of linear viscoelastic composites consisting of two families of elastic inclusions and an incompressible Newtonian fluid at the microscale. Using the asymptotic homogenization method, a new homogenized model is derived by upscaling the fluid-structure interaction problem. The model has coefficients that encode the properties of the microstructure and can be computed by solving a single local differential fluid-structure interaction problem.
Article
Computer Science, Software Engineering
Chiara Hergl, Carina Witt, Baldwin Nsonga, Andreas Menzel, Gerik Scheuermann
Summary: Electroactive polymers are commonly used in engineering applications due to their ability to change shape and properties with an electric field. This paper focuses on understanding the electromechanical coupling by analyzing the third-order coupling tensor using visualization methods. Four examples, including electromechanical coupling, are simulated and analyzed within a finite element framework.
IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS
(2023)
Article
Mechanics
Alireza Enferadi, Majid Baniassadi, Mostafa Baghani
Summary: This study presents the design and analysis of an SMP microvalve, where the thermomechanical response of the SMP is investigated using a nonlinear constitutive model that incorporates hyperelasticity and viscoelasticity. The model accounts for fluid-solid interaction and heat transfer in both fluid and solid physics. Numerical simulations are carried out to examine the important characteristics of the SMP valve. The results demonstrate the significance of employing fluid-solid interaction conjugated heat transfer analysis for the efficient development of microvalves in diverse applications.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Hridya P. Lal, B. R. Abhiram, Debraj Ghosh
Summary: Higher-order elasticity theories are used to model mechanics at the nanoscale, but the length-scale parameters in these theories need to be evaluated through experiments or MD simulations. This study shows that the length-scale parameter in the modified strain gradient theory varies with dimensions, boundary conditions, and deformation level for carbon and boron nitride nanotubes. To address this issue, a supervised ML-based framework is developed, combining MD simulations, continuum formulation, and ML to predict the length-scale parameter for a given material, dimension, and boundary condition. This predictive tool reduces the need for expensive MD simulations and opens up possibilities for applying non-classical continuum theories to nanoscale mechanics problems.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Geng Chen, Shengzhen Xin, Lele Zhang, Min Chen, Christian Gebhardt
Summary: This paper develops a multiscale numerical approach to predict the failure probability of additive manufacturing (AM) structures subjected to time-varied loadings. The approach combines statistical homogenization, shakedown analyses, and reliability methods to consider the influence of microstructural features on load bearing capacity. Through case studies on exemplary structures and different material randomness assumptions, the robustness of the results is confirmed and the mechanism of how micropores influence structural reliability is explained.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Guillaume Cadet, Manuel Paredes
Summary: This study proposes a comprehensive solution for calculating the stress field on the surface of a curved beam with a circular cross section, which is crucial for probabilistic fatigue life analysis.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Hongshi Ruan, Xiaozhe Ju, Junjun Chen, Lihua Liang, Yangjian Xu
Summary: This paper proposes a data-driven approach to improve the efficiency of computational homogenization for nonlinear hyperelastic materials. By combining clustering analysis, Proper Orthogonal Decomposition (POD), and efficient sampling, a reduced order model is established to accurately predict elastoplasticity under monotonic loadings. The numerical results show a significant acceleration factor compared to a purely POD-based model, which greatly improves the applicability for structural analysis.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Pep Espanol, Mark Thachuk, J. A. de la Torre
Summary: The motion of a rigid body, described by Euler's equations in Classical Mechanics, assumes that the distances between constituent particles are fixed. However, real bodies cannot meet this assumption due to thermal fluctuations. In order to incorporate dissipative and thermal fluctuation effects into the description, a generalization of Euler's equations is proposed. This theory explains the origin of these effects as internal, rather than caused by an external thermal bath, and derives the stochastic differential equations governing the body's orientation and central moments.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Prateek Chandrakar, Narayan Sharma, Dipak Kumar Maiti
Summary: The current study focuses on the deterioration in thermal buckling performance of variable angle tow laminated (VATL) plates caused by damages in various composite and damage characteristics. Through numerical simulations and surrogate models, it was found that damages reduce the sensitivity of composite properties to buckling response, and a distinctive pattern of buckling response was observed when composite properties vary.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Liangteng Guo, Shaoyu Zhao, Jie Yang, Sritawat Kitipornchai
Summary: This study introduces composites reinforced with graphene origami nanofillers into functionally graded multilayered phononic crystals. Numerical investigations reveal that these materials possess negative Poisson's ratio and offer unique mechanical properties, which can be tuned by adjusting the weight fraction and hydrogen coverage of the graphene fillers.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Kai Li, Haiyang Wu, Yufeng Liu, Yuntong Dai, Yong Yu
Summary: This paper presents a novel self-oscillating liquid crystal elastomer fiber-beam system that can sway continuously and periodically under steady illumination. The governing equations of the system are established and the self-swaying process and motion mechanism are described in detail. Numerical results show the system undergoes supercritical Hopf bifurcation and the effects of system parameters on the self-swaying amplitude and frequency are discussed quantitatively.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Lingkang Zhao, Peijun Wei, Yueqiu Li
Summary: This paper proposes a spatial-temporal fractional order model to study the dynamic behavior of thermoelastic nanoplates in a thermal environment. The model provides a flexible approach to describe the small-scale effects and complex history-dependent effects. Analytical and numerical methods verify the reliability of the model, and the effects of parameters on the dynamic response are discussed.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
A. N. O'Connor, P. G. Mongan, N. P. O'Dowd
Summary: This research presents an autonomous framework that combines Bayesian optimization and finite element analysis to identify ductile damage model parameters. The framework has been successfully applied to P91 material datasets and demonstrates the impact of algorithm hyperparameters on the resulting non-unique ductile damage parameters.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
S. V. Sorokin, S. Lenci
Summary: This paper reconsiders the nonlinear coupling between flexural and longitudinal vibrations of ideally straight elastic beams, using a nonlinear theory of curved beams and employing class-consistent boundary conditions. A paradoxical difference in the nonlinear parts of the Duffing equations obtained in the limit of vanishing curvature and in the case of an ideally straight beam is demonstrated and explained.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
C. Hari Manoj Simha
Summary: Dynamic Mode Decomposition (DMD) can be used to construct deformation fields for linear solids without making constitutive assumptions or knowing material properties. It operates on time-shifted data matrices and selects dominant modes using singular value decomposition. DMD can be used for reconstructing displacement states in elastic solids and identifying the onset of plasticity in elastic-plastic solids.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
C. Ren, K. F. Wang, B. L. Wang
Summary: An electromechanical model is established to investigate the characteristics of a bilayer structure consisting of a piezoelectric semiconductor film and an elastic substrate. The combined effects of piezoelectricity and flexoelectricity are considered, and closed-form expressions for the distributions of electron concentrations and relevant electromechanical fields are obtained. The effects of interfacial parameter, flexoelectricity, and initial carrier concentration are discussed. The research highlights the importance of the interfacial parameter and the weakening effect of flexoelectricity on the imperfect interface of the bilayer system.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
Article
Mechanics
Yu Sun, Qiang Han, Chunlei Li
Summary: This paper presents the design of a tunable functionally graded metamaterial beam for flexural wave attenuation through the integration of a piezomagnetic shunt damping system and an inertial amplification mechanism. The proposed system demonstrates tunable and strong wave attenuation capability through local resonance and energy consumption. The theoretical and numerical results verify that the system can achieve significant wave attenuation at defined frequencies and also be optimized for maximal attenuation at various frequency ranges.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2024)
