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Molecular dynamics simulations in three-dimensional copper have been performed to quantify the void coalescence process leading to fracture. The correlated growth of the voids during their linking is investigated both in terms of the onset…

Materials Science · Physics 2009-11-10 E. T. Seppälä , J. Belak , R. E. Rudd

Ductile fracture through void growth and coalescence depends significantly on the plastic anisotropy of the material and on void size, as shown by experiments and/or numerical simulations through several studies. Macroscopic (homogenized)…

Materials Science · Physics 2017-10-11 V. Gallican , J. Hure

Void coalescence and interaction in dynamic fracture of ductile metals have been investigated using three-dimensional strain-controlled multi-million atom molecular dynamics simulations of copper. The correlated growth of two voids during…

Materials Science · Physics 2009-11-11 E. T. Seppälä , J. Belak , R. E. Rudd

A novel computational treatment of dense, stiff, coupled reaction rate equations is introduced to study the nucleation, growth, and possible coalescence of cavities during neutron irradiation of metals. Radiation damage is modeled by the…

Materials Science · Physics 2009-11-13 Michael P. Surh , Jess B. Sturgeon , Wilhelm G. Wolfer

Slow crack propagation in ductile, and in certain brittle materials, appears to take place via the nucleation of voids ahead of the crack tip due to plastic yields, followed by the coalescence of these voids. Post mortem analysis of the…

Materials Science · Physics 2009-11-10 Itai Afek , Eran Bouchbinder , Eytan Katzav , Joachim Mathiesen , Itamar Procaccia

We perform axisymmetric numerical simulations to investigate the coalescence dynamics of a liquid drop in a deep liquid pool. This study aims to generalize the mechanisms of partial coalescence across a range of drop shapes, elucidate the…

Fluid Dynamics · Physics 2026-03-25 Manas Ranjan Behera , Hiranya Deka , Kirti Chandra Sahu , Gautam Biswas

Voids can be observed at various scales in ductile materials, frequently of sizes lower than the grain size, leading to porous single crystals materials. Two local deformation modes of porous ductile (single crystals) materials have been…

Materials Science · Physics 2018-12-12 J. Hure

This letter presents a scaling theory of the coalescence of two viscous spherical droplets. An initial value problem was formulated and analytically solved for the evolution of the radius of a liquid neck formed upon droplet coalescence.…

Fluid Dynamics · Physics 2018-12-31 Xi Xia , Chengming He , Peng Zhang

Recent investigations into coalescence dynamics of complex fluid droplets revealed the existence of sub-Newtonian behaviour for polymeric fluids (elastic and shear thinning). We hypothesize that such delayed coalescence or sub-Newtonian…

Soft Condensed Matter · Physics 2023-10-31 M. V. R. Sudheer , Sarath Chandra Varma , Aloke Kumar , Udita U. Ghosh

The process of coalescence of two identical liquid drops is simulated numerically in the framework of two essentially different mathematical models, and the results are compared with experimental data on the very early stages of the…

Fluid Dynamics · Physics 2015-06-12 James Sprittles , Yulii Shikhmurzaev

The problem of the sudden growth and coalescence of voids in elastic media is considered. The Dirichlet energy is minimized among incompressible and invertible Sobolev deformations of a two-dimensional domain having $n$ microvoids of radius…

Analysis of PDEs · Mathematics 2019-06-26 Victor Cañulef-Aguilar , Duvan Henao

A novel phase-field for ductile fracture model is presented. The model is developed within a consistent variational framework in the context of finite-deformation kinematics. A novel coalescence dissipation introduces a new coupling…

Materials Science · Physics 2021-03-24 Tianchen Hu , Brandon Talamini , Andrew J. Stershic , Michael R. Tupek , John E. Dolbow

Voids can limit the life of engineering components. This motivates us to understand local plasticity around voids in a nickel base superalloy combining experiments and simulations. Single crystal samples were deformed in tension with…

Materials Science · Physics 2021-04-19 Yi Guo , Cui Zong , Ben Britton

This letter presents a theory on the coalescence of two spherical liquid droplets that are initially stationary. The evolution of the radius of a liquid neck formed upon coalescence was formulated as an initial value problem and then solved…

Fluid Dynamics · Physics 2019-06-13 Xi Xia , Chengming He , Peng Zhang

The interface formation model is applied to describe the initial stages of the coalescence of two liquid drops in the presence of a viscous ambient fluid whose dynamics is fully accounted for. Our focus is on understanding (a) how this…

Fluid Dynamics · Physics 2015-06-22 James E. Sprittles , Yulii D. Shikhmurzaev

What is the probability that a macroscopic void will spontaneously arise, at a specified time T, in an initially homogeneous gas? We address this question for diffusive lattice gases, and also determine the most probable density history…

Statistical Mechanics · Physics 2015-06-11 P. L. Krapivsky , Baruch Meerson , Pavel V. Sasorov

We establish estimates for the coalescence time of semi-infinite directed geodesics in the planar corner growth model with i.i.d. exponential weights. There are four estimates: upper and lower bounds on the probabilities of both fast and…

Probability · Mathematics 2020-09-08 Timo Seppäläinen , Xiao Shen

The ductile fracture process in porous metals due to growth and coalescence of micron scale voids is not only affected by the imposed stress state but also by the distribution of the voids and the material size effect. The objective of this…

Applied Physics · Physics 2020-11-11 I. Holte , A. Srivastava , E. Martínez-Pañeda , C. F. Niordson , K. L. Nielsen

Post mortem analysis of fracture surfaces of ductile and brittle materials on the $\mu$m-mm and the nm scales respectively, reveal self affine graphs with an anomalous scaling exponent $\zeta\approx 0.8$. Attempts to use elasticity theory…

Materials Science · Physics 2009-11-10 Eran Bouchbinder , Joachim Mathiessen , Itamar Procaccia

While coalescence is ultimately the most drastic destabilization process in foams, its underlying processes are still unclear. To better understand them, we track individual coalescence events in two-dimensional foams at controlled…

Soft Condensed Matter · Physics 2019-07-24 Emilie Forel , Benjamin Dollet , Dominique Langevin , Emmanuelle Rio
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