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Hamilton-Jacobi as model reduction, extension to Newtonian particle mechanics, and a wave mechanical curiosity

Submitted by Amit Acharya on

The Hamilton-Jacobi equation of classical mechanics is approached as a model reduction of conservative particle mechanics where the velocity degrees-of-freedom are eliminated. This viewpoint allows an extension of the association of the Hamilton-Jacobi equation from conservative systems to general Newtonian particle systems involving non-conservative forces, including dissipative ones. A geometric optics approximation leads to a dissipative Schr¨odinger equation, with the expected limiting form when the associated classical force system involves conservative forces.

Postdoc Positions at Jiangsu University, Zhenjiang, China

Submitted by zhujg on

Postdoc positions are available at Jiangsu University, China. Those possessing PhDs in the area of mechanical engineering and non-destructive evaluation are sought. We are particularly interested in candidates with experience in experimental mechanics, composite materials and structures etc. Also, candidates with experience in machine learning are also welcome for inter-discipline research.

PhD Scholarship Opportunity (SCOPE/EPSRC, Oct 2026 start): AI-ready encoding of metamaterials for property-based search

Submitted by Szyniszewski Stefan on

We seek an outstanding PhD candidate to develop AI-ready representations of metamaterial geometries (geometrical material structures). The project will build an atlas of common metamaterial typologies and learn compact latent representations using variational autoencoders, enabling property-driven search, generative design, and optimisation for targeted physical performance.

PhD and Postdoc positions in mechanics of advanced materials and structures

Submitted by Jian_Li on

PhD and Postdoc positions are available in the School of Traffic and Transportation Engineering (First Class Academic Discipline) at Central South University in Dr. Li's research group. Lists of interest include fluid-structure interaction, rain/sand erosion, impact dynamic, soft materials. Interested applicants are welcome to send a detailed CV to Dr. Li at jianli1 [at] csu.edu.cn (jianli1[at]csu[dot]edu[dot]cn).

Addressing viscosity-driven singularities: accurate development of thermo-elasto-visco-plastic constitutive model

Submitted by sadeghifar.morteza on

https://doi.org/10.1007/s11043-025-09825-5

Thermo-elasto-visco-plasticity

Constitutive model development 

Finite element modeling 

UMAT

Incremental visco-plastic multiplier

Consistent tangent operator

Viscosity

Singularity

PhD position: Long-term durability of polymeric composites in offshore wind energy applications - An integrated experimental and numerical study

Submitted by zahur_ullah on

I am pleased to share a fully funded PhD position within the Department of Engineering at Durham University, UK, as part of the EPSRC Centre for Doctoral Training (CDT) in Offshore Wind Energy Sustainability and Resilience.
The project focuses on the long-term durability of polymeric composites in offshore wind energy applications.

Project details and application instructions can be found here: