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How to evaluate natural coordinates from global coordinates?

For 3D isoparametric elements, we could easily find evaluate x(r,s,t), y(r,s,t) and z(r,s,t) from (r,s,t). Given a global point (x,y,z), how could we find/derive the corresponding nature coordinate (r,s,t)? Is there any equation? Even for linear element, the coordinate transformation is not linear. 

This is a practical FEM implementation issue, if a user wants to query a displacement at a given global point, how can we do that? If we know the (r, s, t), then we could easily find the U(r, s, t) = ΣNi(r, s, t)Ui 

Do we have to solve a small nonlinear equation? 


Harold S. Park's picture

Postdoctoral Position in Topological Mechanics

I am looking to recruit a high motivated and independent postdoctoral researcher to study, through theoretical and computational approaches, various topics related to the topological mechanics of solids, including phononic topological insulators, odd elasticity, and non-Hermitian mechanics.  The position is available for an initial 8-month duration, with possible extension to 24 moths depending on availability of funding.  The position is available immediately.

Preferred qualifications for the postdoc position include:

jguilleminot_duke's picture

USACM Thematic Conference on Uncertainty Quantification for Machine Learning Integrated Physics Modeling

Dear Colleagues,

Abstract submission is still open for the USACM Thematic Conference on Uncertainty Quantification for Machine Learning Integrated Physics Modeling (MLIP) which will be held in Crystal City, Arlington, Virginia, August 18-19, 2022. The deadline for submission has been extended to May 15. More information can be found on the conference website. Please consider submitting and/or registering!

On behalf of the organizing committee, Johann

marco.paggi's picture

PhD positions in Computational Mechanics, IMT Lucca, Italy

Are you interested in pursuing an international PhD in the area of Computational Mechanics

Wei Gao's picture

Postdoc and PhD positions at TAMU

A postdoctoral associate and Phd positions are available at Mechanical Engineering at Texas A&M University with Prof. Wei Gao. Both positions can start as early as 8/16/2022. The research project will focus broadly on studying the mechanics of materials with multsicale modeling combined with AI and machine learning methods.  The work is highly interdisciplinary and involves collaborations with experimentalists at TAMU. You may read more about Prof. Gao’s research at

linst06's picture

Ph.D. Openings in Mechanics, Materials, and Manufacturing of Soft Materials

My group in the Department of Mechanical Engineering at Michigan State University has funded Ph.D. positions starting in Spring/Fall 2023. Domestic applicants with no need to attain visas can also be considered in Fall 2022.

Li Han's picture

Full time position at Intel: Material Analysis Lab Engineer

Position is immediately available and needs to be filled soon. Interested candidate can contact me at email below.



Material Analysis Lab Engineer


jenda_z's picture

Three-day intensive course "Invitation to nondestructive evaluation and structural health monitoring" by Zahra Sharif Khodaei, 24--26 May 2022, Czech Republic, Prague

I would like to bring to your attention an intensive three-day course "Invitation to nondestructive evaluation and structural health monitoring" that will be given by Dr. Zahra Sharif Khodaei (Imperial College London) from Tuesday, 24 May, to Thursday, 26 May 2022, at the Faculty of Civil Engineering, Czech Technical University in Prague.

D.Rittel's picture

Thermomechanical coupling with a high speed IR camera

A fun experiment with our new IR Telops M2K camera.
A 316L stainless steel specimen is impacted using a split Hopkinson bar. The steel's temperature increases as a result of thermomechanical coupling, as recorded by our new Telops camera. credit: G.G. Goviazin

jguilleminot_duke's picture

2022 Melosh Competition at Duke University: Call for Abstracts

Dear All,

The 33rd Annual Robert J. Melosh Competition for the Best Student Paper in Computational Mechanics will be held at Duke University on October 21st, 2022.

H.Chen's picture

PhD openings in Computational Solid Mechanics

The Computational Mechanics and Methods Group (CM3) in the Department of Mechanical Engineering at the University of Kentucky is seeking highly self-motivated individuals who have great interest in the broad research area of computational solid mechanics and methods. Ideal applicants should have strong background in solid mechanics and great interest in computational modeling & simulation. Related research experience in material failure modeling and simulation is a plus.

ggu's picture

Postdoctoral positions at UC Berkeley

The Gu Research Group in the Department of Mechanical Engineering at the University of California, Berkeley has postdoctoral positions available. 

We are looking for candidates with experience in one or more of the following research topics:

- Machine learning with experience in graph neural networks and reinforcement learning

- Finite element analysis (ANSYS, ABAQUS, or COMSOL) and computational fluid dynamics

- Additive manufacturing of soft materials and biomaterials

Matt Pharr's picture

SES 2022 Annual Meeting - Abstract Submission Is Open

On behalf of Texas A&M University & Texas A&M Engineering Experiment Station, we are excited to announce that over 80 symposia in 10 thematic areas have been accepted for the 2022 Society of Engineering Science (SES) Annual Technical Meeting that will be held on our campus in College Station, Texas, from October 16-19, 2022.

Shuozhi Xu's picture

Fully-funded Ph.D. student positions at the University of Oklahoma

Dear Colleagues,

I will join the School of Aerospace and Mechanical Engineering at the University of Oklahoma as a tenure-track Assistant Professor. I have two fully-funded Ph.D. student positions in my group. The students will work in general fields of computational materials science and solid mechanics. Please share the attached flyer with anyone who may be interested.

Thank you

Shuozhi Xu

PhD position at Lund University: Modeling of Microstructure Mechanics in Metal Foams


I have an opening for a PhD student in computational mechanics related to numerical modeling of microstructure mechanics in metal foams. The position is part of a larger Swedish-German Röntgen-Ångström Cluster project, involving partners at Ulm University (Germany) and Malmö University (Sweden), for which I am PI on the Swedish side and Professor Carl Krill on ther German side.

The project will include:

Jie. Yin's picture

Ph.D. Position in Mechanics of Materials at North Carolina State University for 2022 Fall and 2023 Spring

Ph.D. positions starting from 2022 Fall and 2023 Spring in Applied Mechanics of Materials lab at NCSU led by Dr. Jie Yin.

The research program will focus on mechanics and design of mechanical metamaterials. Candidates with high self-motivation, experimental or modeling background and interests in mechanics, mechanical engineering, and materials science and engineering are highly encouraged to apply. 

mpeleehp's picture

Does shape really matter

The attached is a piece of work based on mechanics to examine the PK procedure.

mpeleehp's picture

Sinus ventilation due to accessory ostia

There is an anceint saying "A room of many doors will be windy, a person of many works (talkative) will bring disaster". Can this saying be applicable to special cases of maxillary sinus with accessary ostia? Tppically a sinus only has one opening, known as ostium. The air, mucus, can only enter and discharge via this single opening. However, for some, the sinus may have multiple openings, known as accessory ostium. In the work below, we use computaitonal fluid dynamics to examine the effect.

mohsenzaeem's picture

PostDoc/Research Associate Position - phase transformation and ferroelasticity

A PostDoc/Research Associate Position is available immediately at Colorado School of Mines. The applicants should have a PhD degree in Mechanical Engineering, Materials Science or a relevant field, with a strong background in phase-field modeling and/or MD simulations, especially in the area of diffusionless phase transformation and ferroelasticity. Knowledge of machine learning and data analysis is a plus. Interested candidates should send their CV with 2-3 of their recent and reverent publications to (Prof.

cbrinson's picture

New AI + Metamaterials postdoc position

We are seeking a creative and enthusiastic postdoc to work at Duke University as part of a collaborative DOE funded project entitled "FAIR Data and Interpretable AI Framework for Architectured Metamaterials". Candidate should have phd in mechanical or materials engineering, with experience in mechanical metamaterials, the underlying physical principles, finite element simulations, and preferably some knowledge of AI/ML and desire to learn more.

Postdoctoral positions at the University of California, San Diego

Postdoctoral positions are available in the department of Structural Engineering at the University of California, San Diego (UCSD) in Prof. Semnani’s research group. The positions involve developing state-of-the-art artificial intelligence and geomechanical modeling techniques for landslide hazard assessment. The project is an opportunity to collaborate with experts in high-performance computing, geomechanics and climate modeling.

We are looking for highly motivated and talented individuals with the following qualifications:


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