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Dynamics of terraces on a silicon surface due to the combined action of strain and electric current

Submitted by Wei Hong on

A (001) surface of silicon consists of terraces of two variants, which have an identical atomic structure, except for a 90° rotation. We formulate a model to evolve the terraces under the combined action of electric current and applied strain. The electric current motivates adatoms to diffuse by a wind force, while the applied strain motivates adatoms to diffuse by changing the concentration of adatoms in equilibrium with each step. To promote one variant of terraces over the other, the wind force acts on the anisotropy in diffusivity, and the applied strain acts on the anisotropy in surface stress. Our model reproduces experimental observations of stationary states, in which the relative width of the two variants becomes independent of time. Our model also predicts a new instability, in which a small change in experimental variables (e.g., the applied strain and the electric current) may cause a large change in the relative width of the two variants.

On the solution to time-dependent Ginzburg-Laudau (TDGL) equation

Submitted by Jie Wang on

Time-dependent Ginzburg-Laudau (TDGL) equation is the simplest kinetic equation for the temporal evolution of a continuum field, which assumes that the rate of evolution of the field is linearly proportional to the thermodynamical driving force. The computation model based on this equation is also called phase field model. Phase field simulation can predict quite beautiful patterns of microstructures of material. It has been widely applied to simulating the evolution of microstructure by choosing different field variables. For example, using the single conserved field (concentration field), continuum phase field models has been employed to describe the pattern formation in phase-separating alloys (Nishimori and Onuki, 1990 Phys. Rev. B, 42,980) and the nanoscale pattern formation of an epitaxial monolayer (Lu and Suo, 2001 J. Mech. Phys. Solids, 49,1937). On the other hand, using the nonconserved field (polarization field), the phase field model has been utilized to simulating the formation of domain structure in ferroelectrics (Li et al. 2002  Acta Mater, 50,395). The thermodynamical driving force is usually nonlinear with respect to the field variable. In the case of nonlinearity, the solution to TDGL equation may not be unique. Different grid density, length of iteration step, initial state and random term (introduced to describe the nucleation process) may induce different results in the simulation. Does anyone investigate the effect of these factors on the final pattern? I wonder whether we can prove the solution is unique or not.       

ES 240 Solid Mechanics Project

Submitted by Zhigang Suo on

Updated on 11 October 2008.  Each student creates a distinct project that (a) addresses a phenomenon, and (b) involves a serious use of ABAQUS.   To get some inspiration, see projects of students who took this course in the past.

The project contributes 25% to the grade, distributed as follows.

Solid Mechanics Homework 34-38

Submitted by Zhigang Suo on

34. Surface acoustic wave device

35. Approximate a rod as a 2DOF system

36. Soft tissues: large difference in velocities of longitudinal and transverse waves

37. A general approach to determine body waves

38. Reflection and refraction of a transverse wave

Return to the outline of the course

Laser Annealing of Amorphous NiTi Shape Memory Alloy Thin Films to Locally Induce Shape Memory Properties

Submitted by Xi Wang on

Xi Wang, Yves Bellouard, Joost J. Vlassak

Published in Acta Materialia 53 (2005) p4955-4961.

Abstract — We present the results of a crystallization study on NiTi shape memory thin films in which amorphous films are annealed by a scanning laser. This technique has the advantage that shape memory properties can be spatially distributed as required by the application. A kinetics study shows that nucleation of the crystalline phase occurs homogenously in the films. Consequently, the laser annealing process produces polycrystalline films with a random crystallographic texture. The crystallized films have a uniform microstructure across the annealed areas. The material in the crystalline regions transforms reversibly to martensite on cooling from elevated temperature and stress measurements show that a significant recovery stress is achieved in the films upon transformation.

Nanoscale Intracellular Organization and Functional Architecture Mediating Cellular Behavior

Submitted by prleduc on

Cells function based on a complex set of interactions that control pathways resulting in ultimate cell fates including proliferation, differentiation, and apoptosis. The interworkings of his immensely dense network of intracellular molecules are influenced by more than random protein and nucleic acid distribution where their interactions culminate in distinct cellular function.

Pattern Effect on Low-k Channel Cracking

Submitted by Xiao Hu Liu on

Low dielectric constant (low-k) is achieved often at the cost of degraded mechanical properties, making it difficult to integrate the dielectric in the back end of line (BEOL) and to package low-k chips. Development of low-k technology becomes costly and time-consuming. Therefore, more frequently than before, people resort to modeling to understand mechanical issues and avoid failures. In this paper we present three multilevel patterned film models to examine channel cracking in low-k BEOL. The effects of copper features, caps and multilevel interconnects are investigated and their implications to BEOL fabrication are discussed.

Low-k BEOL Mechanical Modeling
Liu, Xiao Hu; Lane, Michael W; Shaw, Thomas M; Liniger, Eric G; Rosenberg, Robert R; Edelstein, Daniel C
Advanced Metallization Conference 2004 (AMC 2004); San Diego, CA and Tokyo; USa and Japan; 19-21 Oct. 2004 and 28-29 Sept. 2004. pp. 361-367. 2005

Faculty Position at Duke University

Submitted by John E. Dolbow on

DEPARTMENT OF MECHANICAL ENGINEERING AND MATERIALS SCIENCE

PRATT SCHOOL OF ENGINEERING

The Department of Mechanical Engineering and Materials Science invites applications for tenure-track faculty positions. Two tenure-track appointments are anticipated and are open to all ranks, Assistant, Associate and Full Professor level. Applications are invited from candidates with research interests in autonomous vehicles and robotic systems, conventional and alternative energy technology, and MEMS/NEMS devices. Applications will also be accepted for allied mechanical engineering disciplines such as nonlinear dynamics and control, sensor technology, small and micro-scale propulsion systems, aerodynamics and aeroelasticity, thermal sciences, and vehicle dynamics.

Successful candidates are expected to establish a vibrant research program, obtain competitive external research funding, and participate actively in teaching at both the undergraduate and graduate levels. Applicants should submit a cover letter describing their research interests and qualifications, a curriculum vitae, and the names and addresses of three references. Please submit your application to mems-search [at] mems.duke.edu as a PDF (preferred) or Word file attached to your email. Duke University is an Affirmative Action/Equal Opportunity Employer.

How to post a video?

Submitted by Teng Li on

Sometimes a video can be more convenient and effective than words on delivering a message. Now you can embed videos in your post in iMechanica. As a demonstration, I first embed a video below I made previously on how to make hyperlinks in your post. If you're interested in posting a video in iMechanica, read the following instructions:


How to embed a video in your post?
Step 1: Sign up a free account at YouTube.com, a website you can share videos online. Upon sign up, you can upload videos to YouTube. Follow the easy directions there. Of course you may want to read copyright tips of YouTube before uploading.
Step 2: Once uploaded, your video will have a Unique URL. You can always provide a hyperlink of the video in your post. To directly embed the video into a post, you need to use the html code automatically generated by YouTube, which you can easily find below the unique URL in the video information. Copy the entire html code.
Step 3: Since the current setting of the default text editor of iMechanica (those MS-word-type buttons above the textbox, called TinyMCE) does not support video yet, you need to turn it off and just use plain html. To turn off TinyMCE, click "my account" on the left sidebar, then click "edit" tab. Below "Account information" box, find "TinyMCE rich-text settings" and click it to expand the box. In the Default state, it shows "true" (means TinyMCE is on). Click the drop-down list and choose "false" . Scroll down to the bottom and click "Submit". Now TinyMCE is turned off.
Step 4: Start to post a new entry. Now you should see a Body textbox without any buttons. Paste the YouTube html code into the box. You can add any description above or below the code. If you want, you can also use any html editor to prepare your post and copy/paste the entire html file into the box.
Step 5: Preview your post then submit. Now all iMech users can view your video without leaving your post!
Of course, you can always turn TinyMCE back on by repeating Step 3.
We're still improving the video function in iMechanica. If you have any creative ideas to better achieve such a function, welcome to leave your comment below.
Enjoy vlogging in iMech.