Gibbs-Appell Equations used in Finite Element Analysis of Elastic Materials with Voids having a Plane Motion
Main Article Content
Abstract
The paper aims to use the Gibbs-Appell equations to obtain the evolution equations of a finite element (FE) to solve a problem that is becoming more and more current in the context of the accelerated use of composite materials in engineering. It is the problem of modeling materials with voids, which appear accidentally or are intentionally introduced into a material. In general, Lagrange's equations represent the most used mathematical tool for solving such cases. The complexity of current engineering applications, in which numerous parameters must be taken into account and numerous steps must be completed in the modeling activity, make some of the classical methods of Analytical Mechanics to be reconsidered, in order to take advantage of the particularities offered by them. This can reduce the number of procedures to follow in modeling the system and also reduce the amount of computation required (and costs). In this context the Gibbs-Appell method is used to finally obtain the equations of motion for a material with voids. For example, it can be noted that for a concentration of voids of 4% the stresses increase by 12%.
Downloads
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Journal author rights
In order for Romanian Journal of Acoustics and Vibration to publish and disseminate research articles, we need publishing rights. This is determined by a publishing agreement between the author and Romanian Journal of Acoustics and Vibration. This agreement deals with the transfer or license of the copyright to Romanian Journal of Acoustics and Vibration and authors retain significant rights to use and share their own published articles. Romanian Journal of Acoustics and Vibration supports the need for authors to share, disseminate and maximize the impact of their research and these rights, in Romanian Journal of Acoustics and Vibration proprietary are defined below:
For subscription articles:
Authors transfer copyright to the publisher as part of a journal publishing agreement, but have the right to: Share their article for personal use (manuscript version); retain patent, trademark and other intellectual property rights (including research data); proper attribution and credit for the published work.
For open access articles:
Authors sign an exclusive license agreement, where authors have copyright but license exclusive rights in their article to the publisher. In this case authors have the right to: share their article in the same ways permitted to third parties under the relevant user license; retain patent, trademark and other intellectual property rights (including research data); proper attribution and credit for the published work.
Rights granted to Romanian Journal of Acoustics and Vibration
For both subscription and open access articles, published in proprietary titles, Romanian Journal of Acoustics and Vibration is granted the following rights:
- The exclusive right to publish and distribute an article, and to grant rights to others, including for commercial purposes;
- For open access articles, Romanian Journal of Acoustics and Vibration will apply the relevant third party user licence (Open access licencses) where Romanian Journal of Acoustics and Vibration publishes the article on its online platforms;
- The right to provide the article in all forms and media so the article can be used on the latest technology even after publication;
- The authority to enforce the rights in the article, on behalf of an author, against third parties, for example in the case of plagiarism or copyright infringement.