Article
Computer Science, Interdisciplinary Applications
Christian Carow, Frank Rackwitz
Summary: Standard integration schemes for rate constitutive equations are designed within the classical theory of plasticity, relying on the assumption that a yield criterion defines a range of purely elastic material behavior. Many constitutive models for non-cohesive soils discard this assumption and consider inelastic deformations, simplifying model formulation but raising questions about numerical implementation. Two different stress point algorithms for a critical state bounding surface model for sands were developed, with explicit method showing significantly more efficiency than the implicit method for a given level of accuracy.
COMPUTERS AND GEOTECHNICS
(2021)
Article
Engineering, Multidisciplinary
A. Javili, A. T. McBride, J. Mergheim, P. Steinmann
Summary: The objective is to develop a dissipation-consistent elasto-plastic peridynamic formulation. The study distinguishes between different interaction types, investigates the consequences of angular momentum balance, provides appropriate interaction potentials and constitutive laws, and demonstrates the capability of the proposed framework through numerical examples. The framework resembles standard one-dimensional plasticity for all interactions.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Computer Science, Interdisciplinary Applications
Brian C. Vermeire, Siavash Hedayati Nasab
Summary: This paper introduces a family of accelerated implicit-explicit (AIMEX) schemes for solving stiff systems of equations. AIMEX schemes can significantly improve stability and allowable time step sizes.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Vahid Galavi
Summary: This paper presents an elasto-plastic constitutive model within a double hardening framework for predicting the mechanical behavior of sands under various stress and relative density conditions. The model's capability is demonstrated by simulating laboratory tests data of Karlsruhe sand for different loading conditions.
COMPUTERS AND GEOTECHNICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Marti Lloret-Cabot, Daichao Sheng
Summary: This paper evaluates the computational performance of a first order accurate fully implicit integration scheme and four different order explicit substepping integration schemes, in order to provide practical guidance for solving numerical problems in geotechnical engineering involving critical state models.
COMPUTERS AND GEOTECHNICS
(2022)
Article
Mathematics, Applied
Chuanjun Chen, Tong Zhang
Summary: In this paper, the stability of three implicit/explicit (IMEX) schemes for the time-dependent natural convection problem is analyzed. These schemes include the first order backward Euler scheme, second order Crank-Nicolson IMEX scheme and BDF2-AB2 combination. The linear terms are treated implicitly and the nonlinear terms explicitly in all schemes. By splitting the original nonlinear problem into two linearized subproblems with constant coefficient matrixes, the computational complexity is reduced and storage is saved. The main contribution of this paper is establishing the unconditional stability of three IMEX schemes for incompressible flows, which improves and supplements existing theoretical findings. Numerical examples are provided to demonstrate the performance of the considered numerical schemes.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Chemistry, Multidisciplinary
Benjamin W. J. Chen, Xinglong Zhang, Jia Zhang
Summary: Machine learning interatomic potentials, combined with active learning, enable fast and accurate modelling of solvents in catalytic reactions. This approach accelerates molecular dynamics simulations and accurately predicts key catalytic quantities, opening up possibilities for studying solvated catalysts.
Article
Mechanics
Fabio Rollo, Angelo Amorosi
Summary: This paper examines the elastoplastic coupling phenomenon in solids, such as soils and rocks, from a thermodynamic-based constitutive modelling perspective. A new formulation considering isotropic and rotational hardening is proposed to illustrate two forms of isotropic and anisotropic elasto-plastic coupling for clays. The thermodynamic approach allows for a more detailed understanding of the phenomenon, particularly in terms of its effects on the yield domain and flow rules.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)
Article
Mathematics, Applied
Maksim I. Ivanov, Igor A. Kremer, Yuri M. Laevsky
Summary: This paper considers a non-isothermal filtration model for a two-phase immiscible incompressible fluid and proposes an explicit-implicit algorithm for numerical implementation. The paper presents a mixed generalized formulation for the problem and uses an explicit-implicit method to calculate various parameters. The paper also compares the non-isothermal model with the isothermal one and discusses fingering instability.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2024)
Article
Engineering, Marine
Mojtaba Mokhtari, Ekaterina Kim, Jurgen Amdahl
Summary: This study compares the CF model and the VUMAT plasticity model theoretically and numerically, highlighting the differences in results and discussing the influences of element size, mesh configuration, and failure parameters on the models. The research aims to provide insights into the performance and limitations of these plasticity models in simulating ice impact loads.
Article
Materials Science, Multidisciplinary
Hongjun Cao, Min Zhu, Biao Li, Xiaohan Lu, Haiyan Li, Ming Guo, Fei Wu, Zijian Xu
Summary: In this study, a new friction coefficient model is proposed based on the basic model of fractal theory. The distribution function and probability distribution density of the micro-convex body truncation area are derived, and a correction factor is introduced to account for the differences between the actual contact area and the truncated area during plastic deformation. The friction coefficient of fractal surface is simulated and verified, and the new model is proven to predict the change trend of friction coefficient correctly in the M-B model.
Article
Engineering, Mechanical
C. K. Cocke, H. Mirmohammad, M. Zecevic, B. R. Phung, R. A. Lebensohn, O. T. Kingstedt, A. D. Spear
Summary: This study extends a large-strain FFT-based crystal plasticity model to simulate ductile fracture of polycrystalline materials. By incorporating a triaxiality-based continuum damage mechanics (CDM) formulation into a large-strain elasto-viscoplastic FFT (LS-EVPFFT) framework and using an integral-based nonlocal regularization approach, the model is able to accurately predict the macroscopic stress-strain response and necking behavior of ductile polycrystals.
INTERNATIONAL JOURNAL OF PLASTICITY
(2023)
Article
Mathematics, Applied
A. Del Grosso, M. Castro Diaz, C. Chalons, T. Morales de Luna
Summary: This work focuses on the application of well-balanced Lagrange-projection schemes to a two-layer shallow water system. It proposes a formulation of the mathematical model in Lagrangian coordinates and applies the HLL method to a simplified version of the resulting Lagrangian system. Additionally, it describes another approximate Riemann solver for the acoustic-Lagrangian step based on the acoustic-transport splitting interpretation. The work proposes both explicit and implicit-explicit methods, with the latter allowing fast simulations in sub-critical regimes. Numerical simulations are presented, comparing the results with the IFCP method.
APPLIED MATHEMATICS AND COMPUTATION
(2023)
Article
Mathematics, Applied
Xiao Qin, Xiaozhong Yang, Peng Lyu
Summary: The paper presents a class of explicit implicit alternating difference schemes for the generalized time fractional Fisher equation, which have both unconditional stability and convergence with order O(tau(2-alpha) + h(2)). The proposed schemes reduce the calculation cost by almost 60% compared to the classical implicit difference scheme, and have been shown to be efficient for solving the equation with initial weak singularity.
Article
Physics, Fluids & Plasmas
Zhaoli Guo, Jiequan Li, Kun Xu
Summary: The kinetic theory serves as a foundation for the development of multiscale methods for gas flows. It is challenging for kinetic schemes to accurately capture the hydrodynamic behaviors of the system at the continuum regime without enforcing kinetic scale resolution. The concept of unified preserving (UP) is introduced to assess the asymptotic orders of a kinetic scheme and its dependence on spatial and temporal accuracy, as well as the interconnections among three scales: kinetic scale, numerical scale, and hydrodynamic scale.
Review
Computer Science, Interdisciplinary Applications
Manuel Caicedo, Javier L. Mroginski, Sebastian Toro, Marcelo Raschi, Alfredo Huespe, Javier Oliver
ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING
(2019)
Article
Engineering, Multidisciplinary
D. Roca, D. Yago, J. Cante, O. Lloberas-Valls, J. Oliver
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2019)
Article
Engineering, Mechanical
Thomas Titscher, Javier Oliver, Joerg F. Unger
JOURNAL OF ENGINEERING MECHANICS
(2019)
Article
Engineering, Multidisciplinary
J. Oliver, D. Yago, J. Conte, O. Lloberas-Valls
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2019)
Article
Engineering, Multidisciplinary
N. Rossi, R. Yera, C. G. Mendez, S. Toro, A. E. Huespe
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2020)
Article
Engineering, Multidisciplinary
Marcelo Raschi, Oriol Lloberas-Valls, Alfredo Huespe, Javier Oliver
Summary: The authors have developed a reliable and cost-effective multiscale method by using standard POD techniques to obtain microstrain modes and reducing the number of integration points through exact integration. This approach allows for evaluating the constitutive behavior of microstructural phases efficiently.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Computer Science, Interdisciplinary Applications
Nestor Rossi, Juan M. Podesta, Facundo Bre, Carlos G. Mendez, Alfredo E. Huespe
Summary: This study presents an optimization-based design technique for elastic isotropic periodic microarchitectures with crystal symmetries to achieve composites with extreme properties. By following three consecutive procedures, the authors have successfully designed parameterized microarchitectures that achieve elastic properties close to theoretical limits. The results show that the designed microarchitectures exhibit excellent performance and are easily manufacturable.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Computer Science, Interdisciplinary Applications
Rolando Yera, Luisina Forzani, Carlos Gustavo Mendez, Alfredo E. Huespe
Summary: This work introduces a topology optimization methodology for designing microarchitectures of phononic crystals, aiming to obtain microstructures with bandgaps between specified frequency bands and broaden the frequency range of these bandgaps. The optimization algorithm utilizes the concepts of level-set function and topological derivative to achieve adequate phononic crystal topologies, with emphasis on validating the analytical expressions of the topological derivative.
ENGINEERING COMPUTATIONS
(2022)
Article
Engineering, Electrical & Electronic
L. Forzani, C. G. Mendez, R. Urteaga, A. E. Huespe
Summary: This theoretical study focuses on an opto-acoustic microdevice, a phoxonic crystal made of porous silicon with specific acoustic and optical responses. By spatially modulating microstructure porosity, the opto-acoustic response of the device can be controlled, leading to the design of a multilayer microcavity with strong coupling between acoustic and optical response mechanisms.
SENSORS AND ACTUATORS A-PHYSICAL
(2021)
Article
Engineering, Multidisciplinary
A. Nunez-Labielle, J. Cante, A. E. Huespe, J. Oliver
Summary: The work explores the computational modeling of propagating shocks in hyperelastic materials for the design and analysis of mechanical energy absorbing materials. It focuses on the shock-capturing approach instead of the shock-fitting approach, evaluating the effects of shock formation and propagation on the mechanical response in the solid. Numerical simulations and assessments are conducted to analyze discontinuous strain waves and their mechanical shocks under different loading conditions. The concept of extrinsic dissipation, resulting from the breaking of polyconvexity aspects in hyperelastic materials, is exemplified using a neo-Hookean polyconvex hyperelastic model. The research also investigates the dynamic impact of a rigid solid on low-density shock-absorbing specimens made of these perturbed hyperelastic materials, evaluating the resulting extrinsic dissipation and shape recovery after impact. The goal of the research is to pave the way for the multiscale design of shock-absorbing metamaterials.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Mechanical
N. Rossi, C. G. Mendez, A. E. Huespe
Summary: This paper focuses on modeling periodic metamaterials with microstructure instabilities, which are caused by bistable elastic mechanisms and induce phase transformations. A new surrogate model for the bistable mechanism is developed in two stages, including a semi-analytical model of the bistable structural element and a frame element with linear kinematics and small deformations. The surrogate model is efficient for simulating a large number of unit cells and reproduces the non-linear behavior of the bistable element. It is suitable for assessing the metamaterial limit behavior, such as energy dissipation and hysteresis under closed load cycles.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
(2023)
Article
Acoustics
L. Forzani, C. G. Mendez, R. Urteaga, A. E. Huespe
Summary: The use of porous phoxonic crystals with coupled optical and acoustic response as a sensing device has been proposed. These structures are suitable platforms for gas detection due to modifications of the effective refractive index and density of the system when a gas permeates the pores. The sensor designed based on these principles can detect the composition of ternary gas mixtures through optical measurements and mechanical deformations caused by acoustic waves.
Article
Engineering, Multidisciplinary
C. Mendez, J. M. Podesta, S. Toro, A. E. Huespe, J. Oliver
INTERNATIONAL JOURNAL FOR MULTISCALE COMPUTATIONAL ENGINEERING
(2019)
Article
Engineering, Multidisciplinary
Akshay J. Thomas, Mateusz Jaszczuk, Eduardo Barocio, Gourab Ghosh, Ilias Bilionis, R. Byron Pipes
Summary: We propose a physics-guided transfer learning approach to predict the thermal conductivity of additively manufactured short-fiber reinforced polymers using micro-structural characteristics obtained from tensile tests. A Bayesian framework is developed to transfer the thermal conductivity properties across different extrusion deposition additive manufacturing systems. The experimental results demonstrate the effectiveness and reliability of our method in accounting for epistemic and aleatory uncertainties.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Zhen Zhang, Zongren Zou, Ellen Kuhl, George Em Karniadakis
Summary: In this study, deep learning and artificial intelligence were used to discover a mathematical model for the progression of Alzheimer's disease. By analyzing longitudinal tau positron emission tomography data, a reaction-diffusion type partial differential equation for tau protein misfolding and spreading was discovered. The results showed different misfolding models for Alzheimer's and healthy control groups, indicating faster misfolding in Alzheimer's group. The study provides a foundation for early diagnosis and treatment of Alzheimer's disease and other misfolding-protein based neurodegenerative disorders using image-based technologies.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jonghyuk Baek, Jiun-Shyan Chen
Summary: This paper introduces an improved neural network-enhanced reproducing kernel particle method for modeling the localization of brittle fractures. By adding a neural network approximation to the background reproducing kernel approximation, the method allows for the automatic location and insertion of discontinuities in the function space, enhancing the modeling effectiveness. The proposed method uses an energy-based loss function for optimization and regularizes the approximation results through constraints on the spatial gradient of the parametric coordinates, ensuring convergence.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Bodhinanda Chandra, Ryota Hashimoto, Shinnosuke Matsumi, Ken Kamrin, Kenichi Soga
Summary: This paper proposes new and robust stabilization strategies for accurately modeling incompressible fluid flow problems in the material point method (MPM). The proposed approach adopts a monolithic displacement-pressure formulation and integrates two stabilization strategies to ensure stability. The effectiveness of the proposed method is validated through benchmark cases and real-world scenarios involving violent free-surface fluid motion.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Chao Peng, Alessandro Tasora, Dario Fusai, Dario Mangoni
Summary: This article discusses the importance of the tangent stiffness matrix of constraints in multibody systems and provides a general formulation based on quaternion parametrization. The article also presents the analytical expression of the tangent stiffness matrix derived through linearization. Examples demonstrate the positive effect of this additional stiffness term on static and eigenvalue analyses.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Thibaut Vadcard, Fabrice Thouverez, Alain Batailly
Summary: This contribution presents a methodology for detecting isolated branches of periodic solutions to nonlinear mechanical equations. The method combines harmonic balance method-based solving procedure with the Melnikov energy principle. It is able to predict the location of isolated branches of solutions near families of autonomous periodic solutions. The relevance and accuracy of this methodology are demonstrated through academic and industrial applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Weisheng Zhang, Yue Wang, Sung-Kie Youn, Xu Guo
Summary: This study proposes a sketch-guided topology optimization approach based on machine learning, which incorporates computer sketches as constraint functions to improve the efficiency of computer-aided structural design models and meet the design intention and requirements of designers.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Leilei Chen, Zhongwang Wang, Haojie Lian, Yujing Ma, Zhuxuan Meng, Pei Li, Chensen Ding, Stephane P. A. Bordas
Summary: This paper presents a model order reduction method for electromagnetic boundary element analysis and extends it to computer-aided design integrated shape optimization of multi-frequency electromagnetic scattering problems. The proposed method utilizes a series expansion technique and the second-order Arnoldi procedure to reduce the order of original systems. It also employs the isogeometric boundary element method to ensure geometric exactness and avoid re-meshing during shape optimization. The Grey Wolf Optimization-Artificial Neural Network is used as a surrogate model for shape optimization, with radar cross section as the objective function.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
C. Pilloton, P. N. Sun, X. Zhang, A. Colagrossi
Summary: This paper investigates the smoothed particle hydrodynamics (SPH) simulations of violent sloshing flows and discusses the impact of volume conservation errors on the simulation results. Different techniques are used to directly measure the particles' volumes and stabilization terms are introduced to control the errors. Experimental comparisons demonstrate the effectiveness of the numerical techniques.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Ye Lu, Weidong Zhu
Summary: This work presents a novel global digital image correlation (DIC) method based on a convolution finite element (C-FE) approximation. The C-FE based DIC provides highly smooth and accurate displacement and strain results with the same element size as the usual finite element (FE) based DIC. The proposed method's formulation and implementation, as well as the controlling parameters, have been discussed in detail. The C-FE method outperformed the FE method in all tested examples, demonstrating its potential for highly smooth, accurate, and robust DIC analysis.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Mojtaba Ghasemi, Mohsen Zare, Amir Zahedi, Pavel Trojovsky, Laith Abualigah, Eva Trojovska
Summary: This paper introduces Lung performance-based optimization (LPO), a novel algorithm that draws inspiration from the efficient oxygen exchange in the lungs. Through experiments and comparisons with contemporary algorithms, LPO demonstrates its effectiveness in solving complex optimization problems and shows potential for a wide range of applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jingyu Hu, Yang Liu, Huixin Huang, Shutian Liu
Summary: In this study, a new topology optimization method is proposed for structures with embedded components, considering the tension/compression asymmetric interface stress constraint. The method optimizes the topology of the host structure and the layout of embedded components simultaneously, and a new interpolation model is developed to determine interface layers between the host structure and embedded components.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Qiang Liu, Wei Zhu, Xiyu Jia, Feng Ma, Jun Wen, Yixiong Wu, Kuangqi Chen, Zhenhai Zhang, Shuang Wang
Summary: In this study, a multiscale and nonlinear turbulence characteristic extraction model using a graph neural network was designed. This model can directly compute turbulence data without resorting to simplified formulas. Experimental results demonstrate that the model has high computational performance in turbulence calculation.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jacinto Ulloa, Geert Degrande, Jose E. Andrade, Stijn Francois
Summary: This paper presents a multi-temporal formulation for simulating elastoplastic solids under cyclic loading. The proper generalized decomposition (PGD) is leveraged to decompose the displacements into multiple time scales, separating the spatial and intra-cyclic dependence from the inter-cyclic variation, thereby reducing computational burden.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Utkarsh Utkarsh, Valentin Churavy, Yingbo Ma, Tim Besard, Prakitr Srisuma, Tim Gymnich, Adam R. Gerlach, Alan Edelman, George Barbastathis, Richard D. Braatz, Christopher Rackauckas
Summary: This article presents a high-performance vendor-agnostic method for massively parallel solving of ordinary and stochastic differential equations on GPUs. The method integrates with a popular differential equation solver library and achieves state-of-the-art performance compared to hand-optimized kernels.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)