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Article
Crystallography
Jaroslav Polak
Summary: The cyclic plastic deformation of polycrystals leads to the concentration of cyclic plastic strain in persistent slip bands (PSBs) which have different dislocation structure compared to the matrix. The formation of point defects, their migration, and the mechanics of dislocation motion in PSBs are quantitatively described. The localized cyclic plastic straining in PSBs results in the production of persistent slip markings (PSMs) on the surface. These PSMs contribute to surface relief and grain boundary relief, as well as the initiation of intragranular fatigue cracks and grain boundary cracks.
Article
Chemistry, Physical
Yoshitaka Umeno et al.
Summary: The reaction-diffusion equation approach is used to model the formation of dislocation structures, but determining appropriate parameters is challenging. To overcome this, an inductive approach utilizing machine learning is proposed to search for parameter sets that produce consistent simulation results with experiments. Numerical simulations based on the reaction-diffusion equations are performed, and an artificial neural network (ANN) model is constructed to map input parameters to output dislocation patterns. This approach provides a new scheme to bridge models for different length scales in hierarchical multiscale simulations.
Article
Mathematics
Ishtiaq Ali et al.
Summary: This paper investigates the influence of partial differential equations on the development of spatiotemporal patterns in reaction-diffusion systems. The Gray-Scott model, which is used to represent these systems, exhibits pattern formation and morphogenesis in living organisms. The study uses a numerical approach based on the Chebyshev spectral method to explore nonhomogeneous steady-state solutions and confirms the theoretical results through numerical simulations.
Article
History & Philosophy Of Science
Hajo Greif et al.
Summary: Alan M. Turing's last published work and some posthumously published manuscripts focused on the development of his theory of organic pattern formation. He elaborated on the mathematical formulation of the theory proposed by D'Arcy Thompson in On Growth and Form. This aspect of Turing's work is self-contained and less explored philosophically, and we aim to investigate the reasons and implications of his choice of biological topic and viewpoint, as well as the connection between his theory of morphogenesis and mechanistic computation.
Article
Physics, Multidisciplinary
Akiko M. Nakamasu
Summary: Research finds that pigment patterns on the body trunk of growing fish follow a Turing pattern, and laser ablation experiments reveal interactions among pigment cells. However, the molecular mechanisms responsible for Turing pattern formation in this system remain unknown. The study uses partial differential equation models for numerical and mathematical analysis.
FRONTIERS IN PHYSICS
(2022)
Article
Engineering, Mechanical
Abu Bakar Siddique et al.
Summary: This study investigates the influence of dislocation multipoles on the elastoplastic properties of materials and finds that multipoles exhibit a hardening/softening effect when the sign of the dislocations involved is the same and a hardening effect when the dislocations are of opposite sign to nearby ones. The distance between neighboring dislocations also affects the proportional limit of the material.
JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY-TRANSACTIONS OF THE ASME
(2022)
Article
Chemistry, Physical
Hiroyuki Shima et al.
Summary: Dislocations are common defects in crystalline materials that greatly influence the deformation process and physical properties. However, describing the elastic field around dislocations mathematically is challenging due to theoretical difficulties such as singularities near the dislocation-core and nontrivial modulation near material interfaces. In this study, we develop an explicit formulation for the stress field generated by an edge dislocation near the zero-traction surface of an elastic medium, which does not exhibit nonphysical divergence near the dislocation-core like classical solutions. Our results allow for accurate estimation of the effect of the zero-traction surface on near-surface stress distribution and its dependence on the orientation of the Burgers vector. We evaluate the degree of surface-induced modulation in the stress field using the L-2 norm concept for function spaces and comparing it to the stress field in an infinitely large system without any surface.
Article
Multidisciplinary Sciences
Wataru Morita et al.
Summary: This study explores the differences in morphology and development of upper and lower molars in mice using a pattern formation model based on reaction-diffusion system. The researchers found that the complexity of cusp cross-sections can distinguish between different types of molar morphologies, and mice have stripe-like upper molars and spot-like lower molars. The computational modeling incorporating empirical data also traced the order of cusp formation and relative position of the cusps in mice, leading to a proposed hypothetical framework for the understanding of the evolutionary variability of mammalian molars.
SCIENTIFIC REPORTS
(2022)
Article
Materials Science, Multidisciplinary
Xiaojuan Deng et al.
Summary: This study investigates the behavior of cracks in nickel single crystals under cyclic deformations and hyper-gravity loading using molecular dynamics simulations. The results show that the fatigue life decreases with increasing hyper-gravity strength and the crack length exhibits anisotropy along the hyper-gravity direction. Additionally, a brittle-to-ductile transition is observed with temperature variations.
Article
Multidisciplinary Sciences
Hiroyuki Shima et al.
Summary: Explicit and tractable formulation of the internal stress field around edge dislocations is essential in understanding the mechanics of fine crystalline solids. This study presents an analytical solution for the stress distribution around edge dislocations in a semi-infinite elastic medium, using the image force method and the Airy stress function method. The solution shows that the attractive force acting on the edge dislocation due to the presence of the free surface is always perpendicular to the surface.
ROYAL SOCIETY OPEN SCIENCE
(2022)
Article
Multidisciplinary Sciences
Yuzuru Kato et al.
Summary: This study demonstrates that Turing instability can occur in a quantum dissipative system and explores its quantum features using a quantum optics system. The results show that continuous measurement on the coupled quantum system reveals the nonuniformity caused by Turing instability.
SCIENTIFIC REPORTS
(2022)
Article
Multidisciplinary Sciences
Shuxiang Shao et al.
Summary: This article proposes a new competitive neural network (CNN) model with reaction-diffusion terms and mixed delays. The global asymptotic stability of the model is analyzed using Lyapunov-Krasovskii functionals and theories of delayed partial differential equations. The effectiveness and correctness of the model are verified through an example.
Article
Multidisciplinary Sciences
Mariano Torrisi et al.
Summary: This paper investigates reaction-advection-diffusion systems and aims to obtain exact solutions through a symmetry approach. The determining system of a general class is formulated, and special forms of the arbitrary constitutive parameters are obtained for specific subclasses, expanding the principal Lie algebra. In some cases, the corresponding reduced system is derived, leading to the discovery of special exact solutions.
Article
Multidisciplinary Sciences
Aisha Abdullah Alderremy et al.
Summary: This article investigates different nonlinear systems of fractional partial differential equations analytically and efficiently using the Laplace residual power series technique. By combining Laplace transformation and the residual power series technique, the method achieves rapid convergent series form results with less time and effort compared to traditional methods.
Review
Multidisciplinary Sciences
Soren Toxvaerd
Summary: Most biological organisms exhibit different types of symmetry, raising questions about the evolution from an undifferentiated cell to a complex organism with symmetry. A new hypothesis suggests that the morphogenesis of biosystems is connected with metabolism, and oscillating kinetics in Glycolysis play a role in establishing bilateral symmetry in Animals.
Article
Multidisciplinary Sciences
Sanda Cleja-Tigoiu
Summary: This paper discusses finite elasto-plasticity of crystalline materials with micro-structural defects, focusing on plastic distortion and decomposition of the plastic connection. The key point in the theory is the metric induced by the plastic distortion on the intermediate configuration, and a novel aspect is the introduction of a measure of the interplay of lattice defects via the Cartan torsion tensor. The physical meanings of the proposed measures of defects are emphasized by comparing them to their counterparts in classical continuum mechanics.
Article
Physics, Multidisciplinary
Yuki Fuseya et al.
Summary: Research has shown that strained atomic bismuth monolayers assembled on the surface of NbSe2 can display Turing patterns, indicating that Turing patterns can occur at the atomic scale in hard condensed-matter systems. The macroscopic patterns seen in biological systems, such as animal skin, can also be described by Turing's reaction-diffusion theory.
Article
Multidisciplinary Sciences
Markus Lazar
Summary: The displacement and stress function fields of straight dislocations and lines forces are derived based on three-dimensional anisotropic incompatible elasticity theory. A Burgers-like formula for straight dislocations and body forces is obtained using the two-dimensional anisotropic Green tensor of generalized plane strain, and its relation to the solution of the displacement and stress function fields in the integral formalism is presented. Furthermore, the stress functions of a point force are calculated and the connection to the potential of a Dirac string is elucidated.
Article
Physics, Fluids & Plasmas
Biswabibek Bandyopadhyay et al.
Summary: This study reports the discovery of the quantum analog of the Turing bifurcation in coupled quantum oscillators, showing the transformation from a homogeneous to an inhomogeneous steady state. The results are supported by simulation and analytical treatment, exploring the paradigmatic Turing bifurcation at the quantum-classical interface.
Review
Developmental Biology
Amit N. Landge et al.
DEVELOPMENTAL BIOLOGY
(2020)
Article
Nanoscience & Nanotechnology
Takashi Sumigawa et al.
MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING
(2019)
Article
Multidisciplinary Sciences
Alan Fang et al.
Article
Materials Science, Multidisciplinary
Can Erel et al.
COMPUTATIONAL MATERIALS SCIENCE
(2017)
Article
Engineering, Mechanical
Y. Aoyagi et al.
INTERNATIONAL JOURNAL OF PLASTICITY
(2013)
Review
Materials Science, Multidisciplinary
P. Li et al.
PROGRESS IN MATERIALS SCIENCE
(2011)
Review
Multidisciplinary Sciences
Shigeru Kondo et al.
Article
Multidisciplinary Sciences
Judit Horvath et al.
Review
Physics, Multidisciplinary
G. Ananthakrishna
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2007)
Article
Engineering, Mechanical
J. Pontes et al.
INTERNATIONAL JOURNAL OF PLASTICITY
(2006)
Article
Biology
H Shoji et al.
JOURNAL OF THEORETICAL BIOLOGY
(2003)
Article
Materials Science, Multidisciplinary
A Trochidis et al.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2000)
