Article
Engineering, Mechanical
K. Tadayon, R. Lemanis, B. Bar-On, I Zlotnikov
Summary: This research expands the classical formulations in Hertzian contact mechanics to derive an analytical description of contact with inhomogeneous materials, which can be applied in synthetic, geological, and biological systems. The developed expression is successfully validated using experimental and numerical methods, providing a stepping-stone towards establishing an analytical description of contact with complex structures.
EXTREME MECHANICS LETTERS
(2022)
Article
Engineering, Multidisciplinary
Felix S. Bott, Michael W. Gee
Summary: This article introduces a novel mesh-free, moving Kriging based collocation scheme for numerical solution of partial differential equations (PDEs). The method is truly mesh-free, accurately imposes essential and natural boundary conditions, and improves solution accuracy.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Mathematics, Applied
Rihui Lan, Pengtao Sun
Summary: This paper develops a monolithic arbitrary Lagrangian-Eulerian (ALE)-finite element method for a type of moving interface problem with jump coefficients, based on a novel ALE mapping. The stability and error estimate analyses are conducted in the ALE frame, and numerical experiments are carried out to validate theoretical results in various cases. The developed novel ALE-FEM can potentially be extended to solve moving interface problems involving the pore fluid equation or Biot's model in the future.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2021)
Article
Mathematics, Applied
Ramy Rashad, Andrea Brugnoli, Federico Califano, Erwin Luesink, Stefano Stramigioli
Summary: In this paper, the theory of nonlinear elasticity is formulated using exterior calculus and bundle-valued differential forms in a geometrically intrinsic manner. The kinematics variables are represented as intensive vector-valued forms, while the kinetics variables are represented as extensive covector-valued pseudo-forms. The spatial, material and convective representations of the motion are discussed, and the geometric conversion between different representations is shown. The equivalence of the exterior calculus formulation to standard formulations based on tensor calculus is demonstrated. The underlying structures of the theory, including the principal bundle structure and the de Rham complex structure, are highlighted.
JOURNAL OF NONLINEAR SCIENCE
(2023)
Article
Mechanics
Federico Oyedeji Falope, Matteo Pelliciari, Luca Lanzoni, Angelo Marcello Tarantino
Summary: This paper investigates the equilibrium and stability of a von Mises truss made of rubber material subjected to a vertical load using theoretical, numerical, and experimental methods. The study includes the development of analytical models, finite element simulations, and the identification of constitutive parameters through a genetic algorithm. Experimental observations show good agreement with theoretical and numerical results, revealing insights on snap-through and Eulerian buckling. The accuracy of predicting critical loads is validated through experiments, highlighting the importance of nonlinear formulations for accurate predictions.
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
(2021)
Article
Mechanics
Giovanni Romano, Raffaele Barretta, Marina Diaco
Summary: The virtual power principle (VPP) in continuum mechanics and its modern formulations based on Functional Analysis and Differential Geometry are investigated in this paper. The existence of Lagrange multipliers associated with rigid constraints on velocity fields can be effectively proven with these mathematical theories. The VPP provides a consistent definition for stress fields based on duality with conforming virtual stretching fields. The rate virtual power principle (RVPP) is introduced to derive the VPP along the motion, and it leads to the formulation of rate equilibrium problems, which are essential for computational formulations and investigations of instability and post-critical behaviors.
Article
Engineering, Marine
Laura Battaglia, Ezequiel J. Lopez, Marcela A. Cruchaga, Mario A. Storti, Jorge D'Elia
Summary: This paper focuses on the validation of the evolution of the free surface in 3D sloshing models and proposes a global mass-conservation strategy for long-term simulations. The performance of the proposed model is evaluated by comparing the numerical results with experimental data.
Article
Materials Science, Multidisciplinary
Zaixing Huang
Summary: This study investigates the influence of capillary effect and surface elasticity on the wetting-induced deformation from the perspective of continuum mechanics. It introduces a new energy form and derives governing equations for wetting-induced deformation. The results show the importance of capillary line tension, elastic line tension, and curvature in the equilibrium of the triple contact line.
PHILOSOPHICAL MAGAZINE
(2021)
Article
Engineering, Multidisciplinary
Michael Neunteufel, Astrid S. Pechstein, Joachim Schoeberl
Summary: This paper extends the TDNNS method to nonlinear elasticity by lifting the distributional derivatives of the displacement vector to a regular strain tensor using the Hu-Washizu principle. Three different methods are introduced using either the deformation gradient, the Cauchy-Green strain tensor, or both as independent variables. The good performance and accuracy of the methods are demonstrated through numerical examples where stress and strain variables are locally eliminated in linear sub-problems, resulting in an equation system solely in terms of displacement variables.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Bjorn Sauren, Simon Klarmann, Leif Kobbelt, Sven Klinkel
Summary: In this work, a mixed formulation based on the scaled boundary parameterization is proposed for analyzing nearly-incompressible hyperelastic materials at finite strains. This formulation allows for arbitrary polygonal element shapes and alleviates volumetric locking by introducing a mixed displacement-pressure formulation.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics, Applied
Shichao Xing, Pengyu Pei, Ming Dai
Summary: This paper investigates the plane deformation of an elastic interface-bulk system using a modified linearized version of the Steigmann-Ogden model, where the interface bending moment is accurately defined by a first-order formula. The corresponding boundary condition for an arbitrary curved interface is formulated in terms of complex potential functions, and applied to the plane deformation of a circular inclusion subjected to uniform far-field loading. Closed-form solutions for the stress field and effective properties of the composite structure are derived using the dilute and Mori-Tanaka methods. It is found that the stress distribution inside the circular inclusion remains uniform for all types of uniform remote loading when the normalized interface stretching rigidity is six times the normalized interface bending rigidity.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
(2023)
Article
Computer Science, Interdisciplinary Applications
Jiacheng Xu, Dan Hu, Han Zhou
Summary: Boundary tracking is a challenging numerical problem in elastic mechanics, and this work proposes a method using phase-field variables and second-order compact finite difference schemes to accurately solve this problem.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Alexander Shamanskiy, Bernd Simeon
Summary: The paper discusses the importance of mesh moving techniques in fluid-structure interaction problems, comparing several commonly used techniques and proposing a novel MMT. Additionally, the performance of each MMT combined with mesh-Jacobian-based stiffening is studied, evaluating their efficiency in FSI simulations.
COMPUTATIONAL MECHANICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Yashar Mehmani, Nicola Castelletto, Hamdi A. Tchelepi
Summary: This study introduces a pore-level multiscale method that efficiently approximates direct numerical simulation with controllable accuracy for predicting the elastic response of solid media containing cracks or defects.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Engineering, Mechanical
Lanfeng Deng, Mu-Qing Niu, Jian Xue, Li-Qun Chen
Summary: This paper presents an ALE formulation for the geometric nonlinear dynamic analysis of curved viscoelastic beams subjected to moving loads. The method accurately describes the material positions using arbitrary node movement. The consistent corotational method is utilized to derive global force vectors based on Hamilton's principle, and standard elements are embedded within an element-independent framework for analysis.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2023)
Article
Urology & Nephrology
Jaime E. Tierney, Siegfried G. Schlunk, Rebecca Jones, Mark George, Pranav Karve, Ravindra Duddu, Brett C. Byram, Ryan S. Hsi
Article
Geography, Physical
Stephen Jimenez, Ravindra Duddu
JOURNAL OF GLACIOLOGY
(2018)
Article
Engineering, Multidisciplinary
Gourab Ghosh, Ravindra Duddu, Chandrasekhar Annavarapu
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2019)
Article
Mathematics, Applied
Xiangming Sun, Ravindra Duddu
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2019)
Article
Mathematics, Applied
Huadong Gao, Lili Ju, Ravindra Duddu, Hongwei Li
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2020)
Article
Computer Science, Interdisciplinary Applications
Huadong Gao, Lili Ju, Xiao Li, Ravindra Duddu
JOURNAL OF COMPUTATIONAL PHYSICS
(2020)
Article
Geography, Physical
Ravindra Duddu, Stephen Jimenez, Jeremy Bassis
JOURNAL OF GLACIOLOGY
(2020)
Article
Engineering, Mechanical
Xiangming Sun, Ravindra Duddu, Hirshikesh
Summary: This study introduces a novel poro-damage phase field model for hydrofracturing of glacier crevasses and demonstrates its excellent performance in simulating surface crevasse propagation and cliff failure in glacier terminus regions. The model's applicability for studying glaciers' dynamic response to atmospheric warming is highlighted by comparing its predictions to analytical solutions in linear elastic fracture mechanics.
EXTREME MECHANICS LETTERS
(2021)
Article
Meteorology & Atmospheric Sciences
Alex Huth, Ravindra Duddu, Ben Smith
Summary: The study introduces a new creep damage model for investigating ice shelf fracture processes, applied within a large-scale shallow-shelf ice flow model. It was found that anisotropic damage better replicates observed fracture patterns, while the creep damage model is more suitable for capturing weakening and rifting over shorter timescales. Combining a comprehensive approach between models may best represent mechanical weakening and tabular calving in long-term simulations.
JOURNAL OF ADVANCES IN MODELING EARTH SYSTEMS
(2021)
Article
Meteorology & Atmospheric Sciences
Alex Huth, Ravindra Duddu, Ben Smith
Summary: The Generalized Interpolation Material Point Method (GIMPM) is developed for solving the shallow shelf approximation (SSA) of ice flow, introducing novel numerical schemes for accurate simulation of ice shelf spreading. The GIMPM-SSA framework allows for efficient advection of variables, automated boundary tracking, and error-free advection, demonstrating numerical accuracy and stability in benchmark examples. Comparisons with the standard material point methods show that GIMPM successfully mitigates grid-crossing errors, making it a viable option for ice sheet-shelf evolution simulations.
JOURNAL OF ADVANCES IN MODELING EARTH SYSTEMS
(2021)
Article
Mechanics
Theo Clayton, Ravindra Duddu, Martin Siegert, Emilio Martinez-Paneda
Summary: The study introduces a phase field-based computational model for simulating the mechanistic growth of crevasses in glacial ice, offering insights into mass loss processes of glaciers and ice sheets. The model shows good agreement with analytical methods, demonstrating its potential in simulating crevasse growth and interaction.
ENGINEERING FRACTURE MECHANICS
(2022)
Article
Engineering, Mechanical
Yuxiang Gao, Matthew Berger, Ravindra Duddu
Summary: We investigate the generalization of a CNN-based surrogate for the phase field model in predicting damage and peak load under uniaxial tension using 2D microstructure images of a unidirectional fiber-reinforced composite. A two-stage approach is proposed to predict peak load by transforming the microstructure image to a damage field and then predicting peak load from the damage field. The damage field provides valuable cues for the CNN to generalize across new microstructures within the training range.
JOURNAL OF ENGINEERING MECHANICS
(2023)
Article
Engineering, Multidisciplinary
Robert E. Bird, Charles E. Augarde, William M. Coombs, Ravindra Duddu, Stefano Giani, Phuc T. Huynh, Bradley Sims
Summary: This paper presents a 2D hp-adaptive discontinuous Galerkin finite element method for phase field fracture that can reliably and efficiently solve phase field fracture problems with arbitrary initial meshes. The method uses a posteriori error estimators to drive mesh adaptivity based on both elasticity and phase field errors, and it is validated on several example problems.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Computer Science, Interdisciplinary Applications
Yuxiang Gao, Gourab Ghosh, Stephen Jimenez, Ravindra Duddu
Summary: A finite-element-based cohesive zone model is proposed to simulate the nonlinear fracture process driving the propagation of water-filled surface crevasses in floating ice tongues. The study finds that viscous strain accumulation promotes crevasse propagation and that surface crevasses propagate deeper in ice shelves/tongues if depth-varying ice density and temperature profiles are considered.
COMPUTING IN SCIENCE & ENGINEERING
(2023)
Article
Geography, Physical
Alex Huth, Ravindra Duddu, Benjamin Smith, Olga Sergienko
Summary: Rifts in ice shelves play a crucial role in ice shelf weakening and the calving of tabular icebergs. A computational modeling framework has been developed to understand the rift propagation process and simulate the calving events. The study provides valuable insights into the interaction between ice sheets and climate, as well as the impact of ice shelf buttressing on land ice flow.
JOURNAL OF GLACIOLOGY
(2023)
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)