Article
Astronomy & Astrophysics
Sayantan Auddy, Ramit Dey, Min-Kai Lin, Daniel Carrera, Jacob B. Simon
Summary: In this study, a Bayesian deep-learning network, DPNNet-Bayesian, is introduced to predict planet mass from disk gaps and provide uncertainties associated with the prediction. The unique feature of this approach is its ability to distinguish between uncertainty related to the deep-learning architecture and uncertainty due to measurement noise in the input data. The results show that the network's predictions are comparable to those from other studies based on specialized simulations.
ASTROPHYSICAL JOURNAL
(2022)
Article
Polymer Science
Jan Zidek, Petr Polacek, Josef Jancar
Summary: This article investigates the deformation behavior of auxetic materials in a conventional matrix and finds that auxetic inclusion-filled gels offer an unparalleled balance of low density and enhanced stiffness.
Article
Computer Science, Information Systems
Wei Cao, Luan Lyu, Zhixin Yang, Enhua Wu
Summary: We propose an improved position-based dynamics method with corrected smoothed particle hydrodynamics (SPH) kernel for simulating deformable solids based on physics. The method ensures the efficiency and stability of the position-based approach while improving the physical plausibility of the simulation. It allows simulation of anisotropic and plastic materials and includes a solution for interparticle inversion and penetration in large deformation, as well as a simple method for collision detection. The proposed method is demonstrated to be flexible, efficient, and robust through various simulations.
SCIENCE CHINA-INFORMATION SCIENCES
(2023)
Article
Mechanics
Paul Bouteiller, Jeremy Bleyer, Karam Sab
Summary: This paper presents a method for obtaining consistent generalized inertias through the use of a complementary energy principle in elastodynamics, which is then applied to extend a stress-based layerwise plate model in a dynamic setting. The effectiveness of this approach is validated through modal analysis of various anisotropic composite laminates.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)
Article
Computer Science, Artificial Intelligence
Ziwei Nie, Chen Li, Hairong Liu, Xiaoping Yang
Summary: This study focuses on vector-valued functions of bounded generalized deformation and proposes a bounded generalized deformation model for image registration problems. The model can handle jump discontinuities of displacement fields and utilize higher-order derivative information in smooth regions, leading to improved accuracy and stability in registration results.
INTERNATIONAL JOURNAL OF COMPUTER VISION
(2021)
Article
Computer Science, Interdisciplinary Applications
Omid Amelirad, Ahmad Assempour
Summary: This study investigates damage initiation and growth in a polycrystalline aggregate using anisotropic continuum damage mechanics coupled with rate-dependent crystal plasticity theory. By calibrating crystal plasticity hardening and damage parameters with experimental tests, the results show that damage arises at grain boundaries and triple junctions, with growth mainly occurring in grains with higher Schmid factor. The model demonstrates potential for determining damage initiation sites and evolution in polycrystalline models.
ENGINEERING WITH COMPUTERS
(2022)
Editorial Material
Multidisciplinary Sciences
Victor A. Kovtunenko, Hiromichi Itou, Alexander M. Khludnev, Evgeny M. Rudoy
Summary: Mathematical methods based on the variational approach have successfully been used in many applications, particularly in the field of partial differential equations. This article focuses on singular and unilaterally constrained problems in mechanics and physics, which are governed by complex systems of generalized variational equations and inequalities. The article highlights the need for non-standard well-posedness analysis and numerical methods to address these problems.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Article
Engineering, Mechanical
Aaditya Lakshmanan, Jiangyi Luo, Iman Javaheri, Veera Sundararaghavan
Summary: A 3D PD model of crystal plasticity (CP) is presented for predicting fine-scale localization in polycrystalline microstructures, showing successful simulation results in comparison with experimental data and CPFEM. The PD model is able to simulate grain averaged strains and well-resolved regions of strain localization observed in experiments.
INTERNATIONAL JOURNAL OF PLASTICITY
(2021)
Article
Engineering, Multidisciplinary
Ignacio Romero, Eva M. Andres, Angel Ortiz-Toranzo
Summary: The variational formulation of coupled mechanical problems offers theoretical advantages and guides the design of numerical methods with attractive features. A novel variational principle is proposed for three-field, strongly coupled problems involving mechanics, thermal transport, and mass diffusion, redefining dissipative phenomena as driven by the free entropy thermodynamic potential. This reformulation provides a theoretical explanation of existing variational methods and enables the formulation of variational updates applicable to nonlinear multi-field problems, showing versatility and favorable features in various simulations.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Review
Materials Science, Multidisciplinary
Taehyo Park, Bilal Ahmed, George Z. Voyiadjis
Summary: This paper reviews the theoretical and numerical research on concrete modeling, including continuum concrete damage and plasticity modeling, multiscale modeling, and phase-field modeling. It also discusses applications related to rate-dependent models and fatigue in concrete. The review of numerical work is limited to finite element analysis, with open issues and future research directions in concrete damage modeling also being addressed.
INTERNATIONAL JOURNAL OF DAMAGE MECHANICS
(2022)
Review
Materials Science, Multidisciplinary
George Z. Voyiadjis, Bilal Ahmed, Taehyo Park
Summary: This companion article presents a numerical review of continuum damage mechanics and plasticity in the context of finite element, focusing on local, nonlocal, and rate-dependent models. It discusses numerical algorithms, element types, software used, iterative schemes, and continuity of elements. Finally, open issues in concrete damage modeling and future research directions are also addressed.
INTERNATIONAL JOURNAL OF DAMAGE MECHANICS
(2022)
Article
Materials Science, Multidisciplinary
Brandon K. Zimmerman, David Jiang, Jeffrey A. Weiss, Lucas H. Timmins, Gerard A. Ateshian
Summary: This study introduces a framework for plasticity and damage mechanics, treating materials as reactive solids that evolve in response to loading. The framework accounts for plastic deformation by allowing loaded bonds to break and reform, with constraints provided by the Clausius-Duhem inequality. Verification against benchmark problems and experimental data demonstrates the consistency and applicability of this framework for elastoplasticity and elastoplastic damage models.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2021)
Review
Biochemistry & Molecular Biology
Chao Fang, Jiaxing Yao, Xingyu Xia, Yuan Lin
Summary: The article reviews different approaches developed to predict the morphology and shape change of the cell nucleus, discussing the essential gradients, relative advantages, and limitations of each model in detail, with the hope of sparking greater research interest in this important topic in the future.
Article
Physics, Multidisciplinary
Z. L. Zhao, H. Hassanabadi, Z. W. Long, Q. K. Ran, H. Wu
Summary: A new high-order generalized uncertainty principle is proposed in this paper, modifying the coordinate and momentum operators simultaneously. The Klein-Gordon equation with linear scalar and vector potential is investigated in this context, and exact analytical solutions are derived, with the results verified using shape invariance symmetry. The impact of the minimum length parameter beta on the energy spectrum of the Klein-Gordon equation is also discussed in detail.
Article
Mathematics, Applied
Xing Yi
Summary: This paper investigates the existence of positive solutions for a nonhomogeneous nonlinear integral equation. The authors provide a proof that, under suitable assumptions on f, the integral equation admits a positive solution in L2n/n+alpha ( Omega). The method used combines the Ekeland variational principle, a blow-up argument, and a rescaling argument to overcome the difficulties arising from the lack of the Brezis-Lieb lemma in L2n/n+alpha ( Omega).
