Blog posts

The ABD matrix is a fundamental method to characterize the overall stiffness behavior of laminated composite structures. Although classical laminate theory has been widely used, it has limitations in predicting the ABD matrix for woven composites. To address this issue, this paper presents a mesoscale homogenization approach aimed at computing the ABD matrix for thin woven composites accurately. The mesoscale representative volume element (RVE) of the woven composite is generated using TexGen and imposed with periodic boundary conditions to enforce the Kirchhoff thin plate assumption.

To address the significant challenges in predicting high-dimensional chaotic systems, this paper introduces a novel hybrid strategy that combines proper orthogonal decomposition (POD), which serves as reduced order modeling (ROM), with next generation reservoir computing (NGRC), a data-driven prediction model. The POD-NGRC strategy harnesses the strengths of POD in extracting principal evolutionary features and reducing system complexity, along with the high accuracy, ease of design, enhanced robustness, and high computational efficiency offered by NGRC.

Please pardon me if I am preaching to the choir here. Rules of mixtures (ROM) are very simple mechanics models. Everybody on this site has a very good understanding of it. However, confusion and mistakes on ROM constantly appear in textbooks, journal articles, online learning materials, etc. See attached two wiki articles. The major confusing point is that vf*Ef+vm*Em is derived from the isostrain assumption and the upper bound. Both statements are incorrect. There might be two main reasons contributed to this mistake/confusion.

Dr Liya Zhao from the School of Mechanical and Manufacturing Engineering at the University of New South Wales (UNSW Sydney, global ranking QS = 45th, US News = 41th), is seeking PhD students to work on projects related to the following topics. Full scholarship will be provided (Tuition waiver + stipend).

• Nonlinear dynamics
• Vibration energy harvesting (harnessing renewable energy from base vibration or wind-induced vibration, ocean wave, etc.; developing efficiency enhancement innovations)

Suppose that we model the entire universe (i.e. the entirety of the known physical universe) as a huge isolated system, using molecular dynamics (MD for short).

The question is: How would you show that the entropy of such a system does in fact always increase? that it neither decreases nor stays the same?