A robust interface method for reactive fluids with sharp interface

One dimensional (1D)-two dimensional (2D) van der Waals (vdWs) mixed-dimensional heterostructures with advantages of atomically sharp interface, high quality and good compatibility have attracted tremendous attention in recent years. The...

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On the sharp interface limit of a model for phase separation on biological membranes

Analysis ◽

10.1515/anly-2019-0019 ◽

2020 ◽

Vol 0 (0) ◽

Author(s):

Helmut Abels ◽

Johannes Kampmann

Keyword(s):

Lipid Raft ◽

Cell Membranes ◽

System Modeling ◽

Bulk Diffusion ◽

Type Equation ◽

Sharp Interface ◽

Interface Problem ◽

Hilliard Equation ◽

System A ◽

Cahn Hilliard Equation

AbstractWe rigorously prove the convergence of weak solutions to a model for lipid raft formation in cell membranes which was recently proposed in [H. Garcke, J. Kampmann, A. Rätz and M. Röger, A coupled surface-Cahn–Hilliard bulk-diffusion system modeling lipid raft formation in cell membranes, Math. Models Methods Appl. Sci. 26 2016, 6, 1149–1189] to weak (varifold) solutions of the corresponding sharp-interface problem for a suitable subsequence. In the system a Cahn–Hilliard type equation on the boundary of a domain is coupled to a diffusion equation inside the domain. The proof builds on techniques developed in [X. Chen, Global asymptotic limit of solutions of the Cahn–Hilliard equation, J. Differential Geom. 44 1996, 2, 262–311] for the corresponding result for the Cahn–Hilliard equation.

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The Interface Zone of Explosively Welded Titanium/Steel after Short-Term Heat Treatment

Metallurgical and Materials Transactions A ◽

10.1007/s11661-021-06174-z ◽

2021 ◽

Author(s):

Marcin Szmul ◽

Katarzyna Stan-Glowinska ◽

Marta Janusz-Skuza ◽

Agnieszka Bigos ◽

Andrzej Chudzio ◽

...

Keyword(s):

Heat Treatment ◽

Intermetallic Phase ◽

Welding Process ◽

Carbon Diffusion ◽

Sharp Interface ◽

High Plasticity ◽

Interface Zone ◽

Before And After ◽

Wavy Interface ◽

The Waves

AbstractThis work presents a detailed description of a bonding zone of explosively welded Ti/steel clads subjected to stress relief annealing, applied in order to improve the plasticity of the final product. The typical joint formed by the welding process possesses a characteristic wavy interface with melted regions observed mainly at the crest regions of waves. The interface of Ti/steel clads before and after annealing was previously investigated mostly in respect to the melted regions. Here, a sharp interface between the waves was analyzed in detail. The obtained results indicate that the microstructure of a transition zone of that area is different along the width. After the heat treatment at 600 °C for 1.5 hours, titanium carbide (TiC) together with α-Fe phase forms at the interface in local areas of relatively wide interlayer (~ 1 µm), while for most of the sharp interface, a much thinner zone up to about 400 nm, formed by four sublayers containing intermetallic phase and carbides, is present. This confirms that carbon diffusion induced by applied heat treatment significantly influences the final microstructure of the Ti/steel interface zone. Side bending tests confirmed high plasticity of welds after applied heat treatment; however, the microhardness measurements indicated that the strengthening of the steel in the vicinity of the interface had not been removed completely.

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