Article
Computer Science, Interdisciplinary Applications
M. V. B. Santana, P. Keo, M. Hjiaj
Summary: A new strain-rate independent return mapping algorithm is developed in this paper to handle arbitrary partitions of stresses for general associative elasto-plastic material models, ensuring optimal computational efficiency and memory costs.
ADVANCES IN ENGINEERING SOFTWARE
(2022)
Article
Engineering, Mechanical
Baptiste Reyne, Frederic Barlat
Summary: HEXAH is a framework based on the homogeneous anisotropic hardening model, aiming to recreate the plastic behavior of metals under different strain paths. It utilizes the concept of microstructure deviator, representing a set of active slip systems. By smoothly evolving from one set of activated slip systems to another, this new approach simplifies the evolution equations, reduces the number of parameters, and stabilizes behavior under cross-loading.
INTERNATIONAL JOURNAL OF PLASTICITY
(2022)
Article
Engineering, Multidisciplinary
Xin Zhou, Anyu Shi, Dechun Lu, Yun Chen, Xiaoying Zhuang, Xinzheng Lu, Xiuli Du
Summary: This work proposes an implicit stress update algorithm that addresses the challenge of accurately evaluating derivatives in numerically implementing complex constitutive models. The algorithm utilizes the hyper dual step derivative approximation and optimizes the Newton search step size by the line search technique. The proposed algorithm is demonstrated in implementing the non-associated Mohr-Coulomb plastic model in the ABAQUS software and shows good performance and practical application in geotechnical engineering problems.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Nanoscience & Nanotechnology
David Montes de Oca Zapiain, Hojun Lim, Taejoon Park, Farhang Pourboghrat
Summary: This work presents an efficient data-driven protocol to accurately predict plastic anisotropy from initial crystallographic texture. By integrating feed forward neural networks with Variational Bayesian Inference techniques, an accurate and low-computational cost surrogate model was established to predict anisotropic constants of polycrystalline materials with quantifiable uncertainty.
MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING
(2022)
Article
Engineering, Mechanical
Seongyong Yoon, Frederic Barlat
Summary: A non-iterative stress update method is proposed to accelerate finite element simulations in plasticity. This method directly integrates the stress tensor based on elastoplastic constitutive law without needing a recursive root-finding process. The method ensures the positivity of the effective plastic strain increment and resolves the uncertainty of yield condition fulfillment through a stress projection technique. It significantly reduces computation time by approximately 50% while maintaining high accuracy in a variety of finite element simulation examples.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Chemistry, Multidisciplinary
Dorota Majorkowska-Mech, Aleksandr Cariow
Summary: This paper presents fast algorithms for computing the discrete Fourier transform of real-valued sequences with lengths ranging from 3 to 9. The algorithms eliminate the redundancy of using complex-valued FFT for real-valued DFT by operating solely on real numbers. They are described in matrix-vector notation and their data flow diagrams are provided.
APPLIED SCIENCES-BASEL
(2022)
Article
Mathematics, Interdisciplinary Applications
Jorge L. Suzuki, Maryam Naghibolhosseini, Mohsen Zayernouri
Summary: In this study, a fractional return-mapping framework for power-law visco-elasto-plasticity is developed. Several well-known fractional linear viscoelastic models are constructed using Scott-Blair elements, and combined with a fractional visco-plastic device. The proposed framework is shown to be accurate and computationally efficient through numerical experiments.
FRACTAL AND FRACTIONAL
(2022)
Article
Engineering, Geological
Yuki Yamakawa, Koichi Hashiguchi, Tomohiro Sasaki, Masaki Higuchi, Kiyoshi Sato, Tadashi Kawai, Tomohiro Machishima, Takuya Iguchi
Summary: This study developed an anisotropic elastoplastic constitutive model for geomaterials at finite strain and verified its basic characteristics and predictive capability through numerical examples.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
(2021)
Article
Mechanics
H. Qiao, Y. C. Xin, Z. L. Zong, P. D. Wu
Summary: The EVPSC-TDT model was used to investigate the yield behavior of a strongly basal textured Mg alloy plate under biaxial loading, with material parameters calibrated according to experimental uniaxial tension and compression tests. The predicted yield surface under various biaxial loadings matched well with experimental data, with the shape changes explained by activated deformation modes. Twining behaviors and their effects on the yield surface shape were also discussed, along with the influence of initial texture on the shape of the yield surface of Mg alloy plates.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2021)
Article
Chemistry, Multidisciplinary
Damin Lu, Keshi Zhang, Guijuan Hu
Summary: The study reveals that pre-cyclic deformation significantly influences the plastic flow behavior of FCC polycrystalline aluminum, with subsequent yield surface shape and plastic flow direction depending on offset strain levels and re-loading paths. The deviation angle between plastic flow direction and theoretical orthogonal direction is significant in the inverse pre-straining direction, but negligible in the pre-straining direction.
Article
Agronomy
Miaomiao Zhang, Duanpu Song, Xuan Pu, Pengfei Dang, Xiaoliang Qin, Kadambot H. M. Siddique
Summary: A field experiment was conducted to study the effects of different straw returning measures and nitrogen fertilizer application rates on soil conditions, maize growth, yield, and nitrogen accumulation. The experiment found that ditch-buried straw returning combined with 175 kg N.ha(-1) resulted in improved resource use efficiency, increased maize yield, and higher levels of nitrate-nitrogen, total N, and soil organic carbon.
EUROPEAN JOURNAL OF AGRONOMY
(2022)
Article
Multidisciplinary Sciences
Zhenghao Chen, Bhaskar Paul, Sanjib Majumdar, Norihiko L. Okamoto, Kyosuke Kishida, Haruyuki Inui, Shigeki Otani
Summary: The plastic deformation behavior of single crystals of ZrB2 and TiB2 at room temperature was investigated using micropillar compression tests, which revealed that plastic flow can be observed through specific slip systems with high critical resolve shear stress values.
SCIENTIFIC REPORTS
(2021)
Article
Materials Science, Multidisciplinary
Lin Lv, Wei William Lee, Hui Lin, Tao Jin
Summary: This paper presents the experimental observations, theoretical analysis, and machine learning model of plastic anisotropy in rolling AA7075-T6. Compression responses were discussed by obtaining the instantaneous stress-strain relationship. The analytical solution of anisotropic initial yielding and hardening was derived by generalizing the J2 flow theory and applying evolutive constitutive parameters. Additionally, a machine learning model consisting of an artificial neural network optimized by a genetic algorithm (GA-ANN) was utilized to simulate the plastic anisotropy of AA7075-T6. According to the comparisons among experimental, theoretical, and predicted (GA-ANN) results, the machine learning model provides flexible application and is found to be easily generalized for solving such mechanical problems, but assessing the model's reliability is challenging. Multi-index estimation is a feasible approach to ensure the objective evaluation of machine learning models.
APPLIED PHYSICS A-MATERIALS SCIENCE & PROCESSING
(2023)
Article
Multidisciplinary Sciences
Aleksander Zubelewicz
Summary: The elastic and plastic anisotropies in textured metals are characterized by two observers, one immersed in the material and the other located outside. The rules governing the correlation between the elastic strains seen by the two observers reproduce directionality of elastic properties and include constraints from yield stress limits. The concept is derived within the framework of tensor representations discussed in the electronic supplementary material.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2021)
Article
Engineering, Geological
Damien Andre, Miguel Angel Celigueta
Summary: The Discrete Element Method (DEM) is used for studying granular materials and modeling non-linear discontinuous phenomena in rock and ceramics. Existing bonded particle models require calibration steps and choosing the most suitable model is difficult. This article introduces a new approach that directly uses stress-strain laws without calibration steps, enabling the handling of complex material behaviors.
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES
(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)