Results 31 to 40 of about 1,384,898 (197)

A Phase Field Approach to Trabecular Bone Remodeling

Frontiers in Applied Mathematics and Statistics, 2020
We introduce a continuous modeling approach which combines elastic response of the trabecular bone structure with the concentration of signaling molecules within the bone and a mechanism for concentration dependent local bone formation and resorption. In
Sebastian Aland, Florian Stenger, Robert Müller, Andreas Deutsch, Axel Voigt, Axel Voigt, Axel Voigt   +6 more
doaj   +1 more source

Lattice Phase Field Model for Nanomaterials [PDF]

Materials, 2021
The lattice phase field model is developed to simulate microstructures of nanoscale materials. The grid spacing in simulation is rescaled and restricted to the lattice parameter of real materials. Two possible approaches are used to solve the phase field equations at the length scale of lattice parameter.
Pingping Wu, Yongfeng Liang
openaire   +2 more sources

Periodically-arrayed ferroelectric nanostructures induced by strain concentration in SrTiO3

Nihon Kikai Gakkai ronbunshu, 2019
Ferroelectric behavior in mechanically strained SrTiO3 nanoporous is investigated using phase-field models. We find, in the paraelectric nanoporous, periodically arrayed ferroelectric nano-region is formed due to strain concentration, namely ...
Kairi MASUDA, Le Van Lich, Takahiro SHIMADA, Takayuki KITAMURA   +3 more
doaj   +1 more source

Particles, phases, fields [PDF]

Banach Center Publications, 1996
The physical properties of particles and phasesare considered in connection with their description by means of the deformation of space-time. The analogy between particle trajectories and phase boundaries is discussed. The geometry and its curvature is related to the Clifford algebraic structure whose construction in terms of the theory of deformation ...
J. Rutkowski, I. Zasada, A. Urbaniak-Kucharczyk, L. Wojtczak   +3 more
openaire   +1 more source

A phase-field model for cohesive fracture [PDF]

, 2013
In this paper, a phase-field model for cohesive fracture is developed. After casting the cohesive zone approach in an energetic framework, which is suitable for incorporation in phase-field approaches, the phase-field approach to brittle fracture is ...
Auricchio, Belytschko, Borden, Borst, Borst, Borst, Borst, Bourdin, Bourdin, Bourdin, Camacho, Comi, Fleming, Francfort, Geers, Gravouil, Hofacker, Ingraffea, Miehe, Miehe, Moës, Moës, Mumford, Ngo, Peerlings, Pijaudier-Cabot, Rashid, Remmers, Wells, Xu   +29 more
core   +2 more sources

Complex order-parameter phase-field models derived from structural phase-field-crystal models

, 2013
The phase-field-crystal (PFC) modeling paradigm is rapidly emerging as the model of choice when investigating materials phenomena with atomistic scale effects over diffusive time scales.
Huang, Zhi-Feng, Ofori-Opoku, Nana, Provatas, Nikolas, Stolle, Jonathan   +3 more
core   +1 more source

3D Phase-field Simulations of Spheroidal Cast Irons and Evaluation of Homogenized Elastic Mechanical Properties [PDF]

Archives of Foundry Engineering
The Volumetric Multicomponent Multiphase Field model implemented in MICRESS® enables microstructure simulation of spheroidal graphite cast iron in 3D space.
R. Nellissery Rajan, J. Eiken
doaj   +1 more source

Phase-field approach to heterogeneous nucleation

, 2002
We consider the problem of heterogeneous nucleation and growth. The system is described by a phase field model in which the temperature is included through thermal noise.
A. A. Wheeler, A. E. Kolmogorov, A. E. Lobkovsky, A. Karma, A. Roy, B. Nestler, C. Castellano, C. W. Price, H. J. Frost, H.-J. Jou, I. Steinbach, J. B. Collins, J. D. Gunton, J. Olivares, J. S. Im, K. R. Elder, K. R. Elder, K. R. Elder, M. Avrami, M. C. Weinberg, M. Castro, M. Castro, M. Dubé, M. Grant, M. Karttunen, Mario Castro, P. C. Hohenberg, R. A. Ramos, R. Becker, R. Bergmann, R. D. Doherty, R. Folch, R. Folch, R. Kobayashi, R. Kobayashi, R. Kobayashi, R. W. Cahn, V. G. Karpov, V. G. Karpov, W. A. Johnson, X. Y. Liu, Y. Enomoto, Y. Uemoto, Ya. B. Zeldovich   +43 more
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Simulation of the solidification of pure nickel via the phase-field method

Materials Research, 2006
The Phase-Field method was applied to simulate the solidification of pure nickel dendrites and the results compared with those predicted by the solidification theory and with experimental data reported in the literature.
Alexandre Furtado Ferreira, Alexandre José da Silva, José Adilson de Castro   +2 more
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Phase field study on crystal orientation effects in eutectoid phase transformation [PDF]

China Foundry, 2017
In this present work, a multi-phase field model was used to simulate the eutectoid transformation process, and on the basis of the nucleation model that was previously proposed by our research team, anisotropic and orientation relationship models were ...
Dong-qiao Zhang, Ya-jun Yin, Jian-xin Zhou   +2 more
doaj   +1 more source