Article
Chemistry, Multidisciplinary
Chong Chen, Shenghong Chen, Yihu Zhang, Hang Lin, Yixian Wang
Summary: In this paper, a new unified nonlinear elastic model is proposed to describe the nonlinear elastic characteristics of rocks under low or medium stress conditions. Through a series of uniaxial compression tests, it is found that rocks exhibit significant nonlinear elastic behavior in the initial compression stage, which can be well described by the proposed model.
APPLIED SCIENCES-BASEL
(2022)
Article
Materials Science, Multidisciplinary
Raghunandan Pratoori, Rajesh Kumar Meena, Pijush Ghosh, Ratna Kumar Annabattula
Summary: A model based on the coupled diffusion-deformation mechanism was developed to predict the large deformation caused during the reversible folding behavior of polymeric thin films accurately. The concentration dependent Young's modulus variation was found to be essential in accurately predicting folding curvatures. The model successfully predicted buckling and wrinkling phenomenon observed in stimuli-responsive polymer thin films.
MECHANICS OF MATERIALS
(2021)
Article
Materials Science, Multidisciplinary
Ya Lu, Tianqing Ling, Hao Ge, Li He, Chuanqiang Li, Xiulei Li
Summary: PCPMA mixture with a robust skeleton structure shows different permanent deformation characteristics under different temperatures and stress levels. A newly proposed viscoplastic mechanical model can predict the permanent deformation of PCPMA mixture under various conditions, providing an effective means for mechanical analysis and permanent deformation calculation of PCPMA pavement.
MATERIALS TODAY COMMUNICATIONS
(2021)
Article
Engineering, Multidisciplinary
Hengdi Su, Huixian Yan, Zheng Zhong
Summary: This work develops a model to analyze large deformation of photo-thermo-pH responsive cationic gels, considering the equilibrium thermodynamics of swelling gels to obtain constitutive equations. The coupling effects of light intensity, temperature and pH variations on gel deformation are analyzed, with simulation results compared to experimental data. Deep neural networks are also used to approximate solutions to equilibrium equations of inhomogeneous swelling of spherical shell structure gels, demonstrating the volume phase transition temperature and its dependence on light intensity.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Materials Science, Multidisciplinary
Yuhao Shi, Thomas Wallmersperger
Summary: Stimuli-responsive hydrogels are an important category of smart materials due to their extensive applications and excellent biocompatibilities. In this research, a chemo-poromechanical model was implemented in COMSOL Multiphysics (R) to study the constricted swelling of hydrogels. The impact of diffusion coefficient on swelling kinetics was discussed through numerical simulations.
JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES
(2023)
Article
Chemistry, Physical
Bruno Da Silva Pinto, Olivier Ronsin, Tristan Baumberger
Summary: Assembly of biopolymers into hydrated elastic network often results in the shrinking and solvent release process known as syneresis. Calcium-alginate hydrogels, widely used biocompatible materials, suffer from syneresis, which obstructs applications requiring dimensional integrity. Although the microscopic process of calcium-induced aggregation has been understood, the coupling between these structural events and global deswelling flow remains elusive. We conducted experiments on entangled pregels, revealing a robust shrinking kinetics that spans over six decades of time, independent of alginate concentration. Through careful analysis, we proposed a self-sustained mechanism where calcium-fueled collapse events are controlled by the average poroelastic flow due to the network rigidity.
Review
Polymer Science
Di Jia, Murugappan Muthukumar
Summary: The review highlights the significance of charged hydrogels in biological and healthcare applications, and discusses the challenges in formulating a rigorous theoretical framework for gel behavior. It presents an analytically tractable theory accounting for interactions emerging from topology, electrostatics, and hydrodynamics, providing closed-form formulas to describe the properties of charged hydrogels. The theoretical formulas summarized here are useful for understanding the physics of charged gels and designing new hydrogels with specified elastic and dynamical properties.
Article
Chemistry, Physical
Fengxue Wang, Yan-Gao Hu, Li Liu, Yongfeng Deng, Shuitao Gu
Summary: This paper investigates the macro nonlinear mechanical behavior of cement-based solidified sand mixture (CBSSM) and its interphase effect using a finite element numerical simulation method. Results show that the interphase significantly influences the mechanical behavior of CBSSM, with a stronger and stiffer interphase ensuring its load capacity and service life, while an increase in the interphase number can adversely affect its durability.
Article
Engineering, Civil
Qiang Yu
Summary: In this study, an efficient wavelet approach is developed for the geometrically nonlinear bending analysis of largely deformed plate with arbitrary initial curvature on a nonlinear Winkler-Pasternak foundation loaded with sinusoidally hygrothermal stresses. The translational and rotational constraints are analyzed and transformed into the Cauchy-type boundary conditions of Airy stress function using interpolating Coiflet-type wavelet. A hygrothermomechanical bending model is formulated and the governing equations are solved using the Coiflet-type wavelet Galerkin method. The wavelet strategy shows superior performance in dealing with extremely nonlinear bending and high-precision reconstitution of initial deflection in hygrothermal environment.
THIN-WALLED STRUCTURES
(2022)
Article
Engineering, Mechanical
Xiaobo Wang, Hanxing Zhu, Bo Song, Xindong Chen, David Kennedy, Yusheng Shi
Summary: Cells deform in response to external stimulation or internal stress. Crosslinked actin filament networks (CAFNs) exhibit strong nonlinear elasticity, known as strain stiffening, which plays a crucial role in cell functions. A three-dimensional representative volume element model is used to investigate the nonlinear elastic behaviors of CAFNs. The results show that various factors, such as actin filament volume fraction and crosslinking density, significantly influence the nonlinear elastic behaviors of CAFNs.
EXTREME MECHANICS LETTERS
(2023)
Article
Physics, Condensed Matter
Paritosh Mahata, Amar Shrivastava, Chandan Kumar Sahu, Abhishek Kumar Barnwal, Arvind Kumar Minz, Suraj Oraon, Laxminarsimharao Vennamneni
Summary: This study investigates the nonlinear deformation mechanism of thin sheets when interacting with rigid curved domains, by calculating the electrostatic traction forces. The model used in this study provides insights into the binding mechanism of BAR proteins with cell membranes, as well as the deformation of thin structures in engineering systems comprised of functionally graded materials. The results are of significant importance for cell biology and engineering applications.
PHYSICA B-CONDENSED MATTER
(2022)
Article
Mechanics
I. Chermyaninov, V. G. Chernyak
Summary: This paper presents a kinetic theory of transfer processes in a binary gas mixture in a capillary under the action of resonant laser radiation in the presence of pressure, temperature, and concentration gradients. The expressions for kinetic coefficients describing the transfer processes of mass, heat, and emitted electromagnetic energy by the excited particles of the gas mixture are obtained based on linearized modified Boltzmann equations. The Onsager reciprocal principle for cross coefficients is proven to be valid for any Knudsen numbers and any law of interaction of gas mixture particles with each other and the boundary surface.
Article
Chemistry, Multidisciplinary
Prajnamita Dasgupta, Sarmistha Mondal, Banani Das, Malay Kumar Das
Summary: This research systematically develops a fifteen-component liquid crystal mixture and investigates its properties such as birefringence, dielectric anisotropy, and threshold voltage. The mixture exhibits a high Figure of Merit (FoM) which is desirable for reducing the response time of vertically aligned mode liquid crystal displays (VALCDs).
Article
Engineering, Electrical & Electronic
Mingxi Lv, Hongguang Li
Summary: The NCCD algorithm enhances the decomposition accuracy of nonlinear chirp signals by adding an additional term to the VNCMD optimization objective function and leveraging the DPO algorithm to extract time-frequency distribution ridges, demonstrating higher accuracy and robustness.
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
(2021)
Article
Chemistry, Physical
Victor Crespo-Cuevas, Virginia L. Ferguson, Franck Vernerey
Summary: Agarose gels are suitable for tissue engineering due to their tunability, viscoelasticity, and strain-stiffening response. We analyzed their time-dependent mechanical behavior through finite element analysis and experiments, and developed a physics-based model that accurately describes agarose behavior.
Article
Mathematics, Applied
Melanie Kobras, Valerio Lucarini, Maarten H. P. Ambaum
Summary: In this study, a minimal dynamical system derived from the classical Phillips two-level model is introduced to investigate the interaction between eddies and mean flow. The study finds that the horizontal shape of the eddies can lead to three distinct dynamical regimes, and these regimes undergo transitions depending on the intensity of external baroclinic forcing. Additionally, the study provides insights into the continuous or discontinuous transitions of atmospheric properties between different regimes.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Shu-hong Xue, Yun-yun Yang, Biao Feng, Hai-long Yu, Li Wang
Summary: This research focuses on the robustness of multiplex networks and proposes a new index to measure their stability under malicious attacks. The effectiveness of this method is verified in real multiplex networks.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Julien Nespoulous, Guillaume Perrin, Christine Funfschilling, Christian Soize
Summary: This paper focuses on optimizing driver commands to limit energy consumption of trains under punctuality and security constraints. A four-step approach is proposed, involving simplified modeling, parameter identification, reformulation of the optimization problem, and using evolutionary algorithms. The challenge lies in integrating uncertainties into the optimization problem.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Alain Bourdier, Jean-Claude Diels, Hassen Ghalila, Olivier Delage
Summary: In this article, the influence of a turbulent atmosphere on the growth of modulational instability, which is the cause of multiple filamentation, is studied. It is found that considering the stochastic behavior of the refractive index leads to a decrease in the growth rate of this instability. Good qualitative agreement between analytical and numerical results is obtained.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Ling An, Liming Ling, Xiaoen Zhang
Summary: In this paper, an integrable fractional derivative nonlinear Schrodinger equation is proposed and a reconstruction formula of the solution is obtained by constructing an appropriate Riemann-Hilbert problem. The explicit fractional N-soliton solution and the rigorous verification of the fractional one-soliton solution are presented.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Marzia Bisi, Nadia Loy
Summary: This paper proposes and investigates general kinetic models with transition probabilities that can describe the simultaneous change of multiple microscopic states of the interacting agents. The mathematical properties of the kinetic model are proved, and the quasi-invariant asymptotic regime is studied and compared with other models. Numerical tests are performed to demonstrate the time evolution of distribution functions and macroscopic fields.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Carlos A. Pires, David Docquier, Stephane Vannitsem
Summary: This study presents a general theory for computing information transfers in nonlinear stochastic systems driven by deterministic forcings and additive and/or multiplicative noises. It extends the Liang-Kleeman framework of causality inference to nonlinear cases based on information transfer across system variables. The study introduces an effective method called the 'Causal Sensitivity Method' (CSM) for computing the rates of Shannon entropy transfer between selected causal and consequential variables. The CSM method is robust, cheaper, and less data-demanding than traditional methods, and it opens new perspectives on real-world applications.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Feiting Fan, Minzhi Wei
Summary: This paper focuses on the existence of periodic and solitary waves for a quintic Benjamin-Bona-Mahony (BBM) equation with distributed delay and diffused perturbation. By transforming the corresponding traveling wave equation into a three-dimensional dynamical system and applying geometric singular perturbation theory, the existence of periodic and solitary waves are established. The uniqueness of periodic waves and the monotonicity of wave speed are also analyzed.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Wangbo Luo, Yanxiang Zhao
Summary: We propose a generalized Ohta-Kawasaki model to study the nonlocal effect on pattern formation in binary systems with long-range interactions. In the 1D case, the model displays similar bubble patterns as the standard model, but Fourier analysis reveals that the optimal number of bubbles for the generalized model may have an upper bound.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Corentin Correia, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas
Summary: The emergence of clustering of rare events is due to periodicity, where fast returns to target sets lead to a bulk of high observations. In this research, we explore the potential of a new mechanism to create clustering of rare events by linking observable functions to a finite number of points belonging to the same orbit. We show that with the right choice of system and observable, any given cluster size distribution can be obtained.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Enyu Fan, Changpin Li
Summary: This paper numerically studies the Allen-Cahn equations with different kinds of time fractional derivatives and investigates the influences of time derivatives on the solutions of the considered models.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Yuhang Zhu, Yinghao Zhao, Chaolin Song, Zeyu Wang
Summary: In this study, a novel approach called Time-Variant Reliability Updating (TVRU) is proposed, which integrates Kriging-based time-dependent reliability with parallel learning. This method enhances risk assessment in complex systems, showcasing exceptional efficiency and accuracy.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Chiara Cecilia Maiocchi, Valerio Lucarini, Andrey Gritsun, Yuzuru Sato
Summary: The predictability of weather and climate is influenced by the state-dependent nature of atmospheric systems. The presence of special atmospheric states, such as blockings, is associated with anomalous instability. Chaotic systems, like the attractor of the Lorenz '96 model, exhibit heterogeneity in their dynamical properties, including the number of unstable dimensions. The variability of unstable dimensions is linked to the presence of finite-time Lyapunov exponents that fluctuate around zero. These findings have implications for understanding the structural stability and behavior modeling of high-dimensional chaotic systems.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Christian Klein, Goksu Oruc
Summary: A numerical study on the fractional Camassa-Holm equations is conducted to construct smooth solitary waves and investigate their stability. The long-time behavior of solutions for general localized initial data from the Schwartz class of rapidly decreasing functions is also studied. Additionally, the appearance of dispersive shock waves is explored.
PHYSICA D-NONLINEAR PHENOMENA
(2024)
Article
Mathematics, Applied
Vasily E. Tarasov
Summary: This paper extends the standard action principle and the first Noether theorem to consider the general form of nonlocality in time and describes dissipative and non-Lagrangian nonlinear systems. The general fractional calculus is used to handle a wide class of nonlocalities in time compared to the usual fractional calculus. The nonlocality is described by a pair of operator kernels belonging to the Luchko set. The non-holonomic variation equations of the Sedov type are used to describe the motion equations of a wide class of dissipative and non-Lagrangian systems. Additionally, the equations of motion are considered not only with general fractional derivatives but also with general fractional integrals. An application example is presented.
PHYSICA D-NONLINEAR PHENOMENA
(2024)