Article
Computer Science, Interdisciplinary Applications
Erik U. Gallardo-Romero, Diego Ruiz-Aguilar
Summary: The study presents a 3D magnetotelluric forward modeling program, which uses high-order edge elements and the Edge Finite Element method to accurately simulate magnetotelluric data. The program is open-source and optimized for both HPC and nonHPC architectures, providing highly accurate solutions for multiple frequencies with reduced computing times.
COMPUTERS & GEOSCIENCES
(2022)
Article
Engineering, Multidisciplinary
Haoju Lin, Hui Liu, Peng Wei
Summary: This work proposes a parallel parameterized level set topology optimization framework for large-scale structures with unstructured meshes, which addresses the adaptability to structures with arbitrary geometries and complex boundary conditions. The framework combines distributed memory parallel computing technology and parameterized level set topology optimization using unstructured meshes. Several means, including shape functions, directed acyclic graph data structure, direct imposition of passive domain and boundary conditions on geometry entities, and multiple averaging filter, are utilized. Computing tests demonstrate the stability, efficiency, scalability, and potential for discovering new structure styles of the framework.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Derek C. Thomas, Luke Engvall, Steven K. Schmidt, Kevin Tew, Michael A. Scott
Summary: U-splines are a novel approach to constructing spline bases for representing smooth objects in CAD and CAE. They differ from existing constructions by accommodating local variation in cell size, polynomial degree, and smoothness simultaneously. The U-spline algorithm introduces a new technique for constructing basis functions using local null space solutions.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Shashi Kant Ratnakar, Utpal Kiran, Deepak Sharma
Summary: This study introduces a novel GPU-based parallel strategy to reduce computational time for FEA in structural topology optimization. The proposed strategy achieves a speedup of 3.1x to 3.3x for the FEA solver stage and requires almost 1.8x less GPU memory than the standard element-by-element strategy.
ENGINEERING COMPUTATIONS
(2022)
Article
Computer Science, Interdisciplinary Applications
Panagiotis Tsoutsanis
Summary: This paper presents a family of stencil selection algorithms for WENO schemes on unstructured meshes. The paper focuses on evaluating the performance of various stencil selection algorithms and investigating the parameters that determine their robustness, accuracy, and computational efficiency. The goal is to develop efficient and robust stencil selection algorithms that can save computational resources while maintaining the non-oscillatory character of WENO schemes. Established test problems are used to assess the performance of the developed algorithms.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Mathematics, Applied
M. A. R. K. AINSWORTH, S. H. U. A. I. JIANG
Summary: We propose a systematic approach for constructing uniform preconditioners for the mass matrix on unstructured meshes, by using preconditioners for lower dimensional simplices. The resulting preconditioners are automatically uniform and efficient for different mesh sizes and polynomial degrees.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2022)
Article
Computer Science, Interdisciplinary Applications
Quoc-Hoa Pham, Duc-Huynh Phan
Summary: Polygonal finite elements have been widely implemented in topology optimization problems recently due to their highly accurate solutions and flexibility in mesh generation. This study proposes a polygonal topology optimization method for Reissner-Mindlin (R-M) plate and applies a locking-free polygonal R-M plate element based on Timoshenko's beam assumptions to solve the optimization problems. The proposed method uses solid isotropic material with penalization model, standard optimality criteria methods, and density filter.
ENGINEERING WITH COMPUTERS
(2022)
Article
Engineering, Multidisciplinary
Carl-Johan Thore
Summary: In this study, the topology optimization of Stokes flow with traction boundary conditions using finite elements was investigated. The finite element formulation was stabilized using a penalty on the pressure jump between adjacent elements. The results showed stable convergence to high-quality designs with a practical sensitivity to the choice of the pressure jump penalty parameter.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Mathematics, Applied
Philippe R. B. Devloo, Agnaldo M. Farias, Sonia M. Gomes, Weslley Pereira, Antonio J. B. dos Santos, Frederic Valentin
Summary: The work introduces a family of multiscale hybrid-mixed methods for the two-dimensional linear elasticity problem on general polygonal meshes. These methods approximate displacement, stress, and rotation using two-scale discretizations, with stability and convergence proved in a unified framework. The methods are shown to be optimal and high-order convergent, with super-convergent properties in the L-2-norm for the approximate displacement and stress divergence.
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
(2021)
Article
Computer Science, Interdisciplinary Applications
Veselin Dobrev, Patrick Knupp, Tzanio Kolev, Ketan Mittal, Vladimir Tomov
Summary: The study introduces an hr-adaptivity framework for optimization of high-order meshes, extending the r-adaptivity method with nonconforming adaptive mesh refinement to better satisfy geometric targets. The methodology is purely algebraic, applicable to various types of meshes and dimensions, and achieves similar accuracy results with significantly fewer mesh nodes.
ENGINEERING WITH COMPUTERS
(2022)
Article
Computer Science, Interdisciplinary Applications
Y. Pan, P-O Persson
Summary: This paper presents a novel approach for high-order accurate numerical differentiation on quadrilateral meshes. By defining an auxiliary function with greater smoothness properties and differentiating it, the derivatives of the original function can be obtained. The method can be applied to meshes of arbitrary topology in any number of dimensions for any order of derivative and accuracy.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Mathematics, Applied
Panagiotis Tsoutsanis, Ebenezer Mayowa Adebayo, Adrian Carriba Merino, Agustin Perez Arjona, Martin Skote
Summary: This paper extends the application of high-order finite-volume central-weighted essentially non-oscillatory (CWENO) schemes to multicomponent flows using the interface capturing paradigm, achieving high-order accurate and oscillation free solutions. The schemes are compact and perform well, but have limitations within the present interface-capturing implementation.
JOURNAL OF SCIENTIFIC COMPUTING
(2021)
Article
Engineering, Mechanical
Xudong Jiang, Jiaqi Ma, Xiaoyan Teng
Summary: This study implements topology optimization of multi-material structures under dynamic loads on polygonal finite element meshes with multiple volume constraints. A multiresolution scheme is introduced to obtain high resolution designs with less computational burden for structural dynamics problems. The effectiveness of the method is demonstrated through several numerical examples.
INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN
(2023)
Article
Computer Science, Interdisciplinary Applications
Alberto Paganini, Florian Wechsung
Summary: Fireshape is an open-source automated shape optimization toolbox designed for the finite element software Firedrake. It utilizes the moving mesh method, allowing users with minimal shape optimization knowledge to easily tackle challenging shape optimization problems constrained by partial differential equations (PDEs).
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Physics, Mathematical
Walter Boscheri, Michael Dumbser, Elena Gaburro
Summary: In this paper, a new high order accurate nodal discontinuous Galerkin (DG) method is proposed for solving nonlinear hyperbolic systems of partial differential equations (PDE) on unstructured polygonal Voronoi meshes. The new approach represents the discrete solution using piecewise continuous polynomials of degree N within each Voronoi element, and uses a continuous finite element basis on a subgrid inside each polygon. The resulting subgrid basis allows for an efficient quadrature-free algorithm, and high accuracy in time is achieved using the ADER approach.
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
(2022)
Article
Mechanics
J. C. R. Albino, C. A. Almeida, I. F. M. Menezes, G. H. Paulino
Summary: This study examines the structural behavior of a steel catenary riser with a segment of functionally graded material at the touchdown zone. It is found that incorporating FGM in the riser configuration improves curvatures near the TDZ, which is critical for mitigating fatigue damage.
MECHANICS RESEARCH COMMUNICATIONS
(2021)
Article
Engineering, Multidisciplinary
Heng Chi, Yuyu Zhang, Tsz Ling Elaine Tang, Lucia Mirabella, Livio Dalloro, Le Song, Glaucio H. Paulino
Summary: A machine learning-based topology optimization framework is proposed, featuring online training, localized online training strategy, and online updating scheme. Numerical investigations and design examples demonstrate the high scalability and accuracy of the framework.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Computer Science, Interdisciplinary Applications
Oliver Giraldo-Londono, Glaucio H. Paulino
Summary: PolyStress is a Matlab implementation for topology optimization with local stress constraints, which addresses linear and material nonlinear problems. The implementation is based on PolyTop and utilizes a Newton-Raphson scheme and an augmented Lagrangian method to solve nonlinear elasticity and stress-constrained problems consistently.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2021)
Article
Engineering, Mechanical
Phanisri P. Pratapa, Ke Liu, Siva P. Vasudevan, Glaucio H. Paulino
Summary: This research investigates the folding kinematics of a Morph pattern structure through rigid panel assumptions, exploring the different modes and hybrid states that can be achieved. It discusses the interplay between local and global kinematics, studying how folding deformations can result in reprogrammable morphing behavior. Through numerical simulations, the study verifies the deformation characteristics predicted analytically.
JOURNAL OF MECHANISMS AND ROBOTICS-TRANSACTIONS OF THE ASME
(2021)
Article
Chemistry, Multidisciplinary
Fernando Senhora, Emily D. Sanders, Glaucio H. Paulino
Summary: Spinodal architected materials optimize design of multiscale structures by varying spinodal class, orientation, and porosity, leading to efficient material placement along stress trajectories with enhanced mechanical and biological functions.
ADVANCED MATERIALS
(2022)
Article
Computer Science, Interdisciplinary Applications
Miguel A. A. Suarez, Juan S. Romero, Anderson Pereira, Ivan F. M. Menezes
Summary: This paper presents some applications of the virtual element method (VEM) for topology optimization of non-Newtonian fluid flow problems in arbitrary two-dimensional domains. The VEM is used to solve the governing boundary value problem and can handle meshes with arbitrarily shaped elements.
ENGINEERING WITH COMPUTERS
(2022)
Article
Engineering, Mechanical
Fufu Yang, Miao Zhang, Jiayao Ma, Zhong You, Ying Yu, Yan Chen, Glaucio H. Paulino
Summary: Resch patterns are tessellation origami patterns consisting of more than one type of polygons. They are generally rigid foldable but have a large number of degrees of freedom. In order to achieve one-DOF forms of triangular Resch pattern units, the thick-panel technique is employed to replace spherical linkages with spatial linkages. The compatibility among all the vertices is studied by kinematic analysis, and two design schemes are obtained to form a one-DOF origami structure.
MECHANISM AND MACHINE THEORY
(2022)
Article
Multidisciplinary Sciences
Qiji Ze, Shuai Wu, Jun Nishikawa, Jize Dai, Yue Sun, Sophie Leanza, Cole Zemelka, Larissa S. Novelino, Glaucio H. Paulino, Ruike Renee Zhao
Summary: Researchers have developed a magnetically actuated small-scale origami crawler with inplane contraction, which can crawl and steer in confined spaces. This crawler has magnetically tunable structural stiffness, allowing it to overcome large resistances, and it has the ability to store and release drugs internally, demonstrating its multifunctionality.
Article
Engineering, Mechanical
Diego Misseroni, Phanisri P. Pratapa, Ke Liu, Glaucio H. Paulino
Summary: This study presents a novel experimental setup for studying the Poisson effects in 2D origami tessellations. The setup was used to measure the Poisson's ratio of the Morph, Miura-ori, and Eggbox patterns, and the results were consistent with theory and simulations. This experimental technique can be applied to investigate other tunable properties of origami metamaterials.
EXTREME MECHANICS LETTERS
(2022)
Article
Chemistry, Multidisciplinary
Ke Liu, Phanisri P. Pratapa, Diego Misseroni, Tomohiro Tachi, Glaucio H. Paulino
Summary: This research explores the geometrical-frustration-induced anisotropy and inhomogeneity to achieve unique properties of metamaterials. Using a triclinic metamaterial system based on a Trimorph origami pattern, a folding motion is created that results in an unusual Poisson effect and reversible auxeticity. Tessellating tristable unit cells produces phenomena resembling linear and point defects due to geometric frustration. This frustration can be reprogrammed into distinct stable and inhomogeneous states by selecting the location of point defects. These findings have potential applications in wave propagation control and compliant microrobots.
ADVANCED MATERIALS
(2022)
Article
Engineering, Multidisciplinary
Fernando V. Senhora, Heng Chi, Yuyu Zhang, Lucia Mirabella, Tsz Ling Elaine Tang, Glaucio H. Paulino
Summary: This article proposes an artificial intelligence approach to accelerate topology optimization, capturing the underlying physics of the problem. The framework demonstrates effectiveness and scalability through various design examples.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Multidisciplinary Sciences
James McInerney, Glaucio H. Paulino, D. Zeb Rocklin
Summary: This study develops a formalism to investigate the interplay between geometric symmetries and functionality in origami crease patterns. It reveals that the anticommuting symmetry defines a class of crease pattern geometries with equal and opposite Poisson's ratios.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
Article
Computer Science, Interdisciplinary Applications
Oliver Giraldo-Londono, Jonathan B. Russ, Miguel A. Aguilo, Glaucio H. Paulino
Summary: This study presents a formulation for topology optimization of structures with constraints on the first principal stress, solved using the augmented Lagrangian method to consider local stress constraints. Numerical examples demonstrate the effectiveness of the framework for practical problems with numerous local constraints, such as the three-dimensional antenna support bracket with over one million constraints.
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
(2022)
Article
Materials Science, Multidisciplinary
Jonathan B. Russ, Glaucio H. Paulino
Summary: In order to enhance structural resistance to material failure, numerous topology optimization formulations have been proposed. This research extends the former method by constraining local failure criteria in a manner inspired by typical gradient-enhanced damage models. The proposed formulation relies on linear physics during the optimization procedure, greatly increasing its speed and robustness. Additionally, the study investigates the size effect introduced by using a numerical model and provides select observations, such as spurious fin-like patterns that can emerge depending on the structure and loading conditions. Finally, the load capacity of each optimized design is verified through a post-optimization verification procedure unaffected by the design parameterization and material interpolation schemes.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Multidisciplinary Sciences
Fernando V. Senhora, Ivan F. M. Menezes, Glaucio H. Paulino
Summary: Topology optimization problems often focus on a single or a few discrete load cases, while practical structures are subjected to infinitely many load cases that vary in intensity, location, and direction. This study proposes a locally stress-constrained topology optimization method that considers continuously varying load directions to ensure structural integrity under more realistic loading conditions.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2023)
