Special Issue "Computational Mechanics"

A special issue of Mathematics (ISSN 2227-7390).

Deadline for manuscript submissions: 31 October 2019

Special Issue Editors

Guest Editor
Prof. Tinh Quoc Bui

Tokyo Institute of Technology Department of Civil and Environmental Engineering 2-12-1-W8-22, Ookayama, Meguro-ku Tokyo 152-8552, Japan
Website | E-Mail
Interests: computational mechanics; fracture mechanics; continuum damage mechanics; failure analysis; material modeling; composites; functionally graded materials; smart materials; computational inelasticity; structures; concrete; quasi-brittle materials; micromechanics; finite element analysis; isogeometric analysis; meshfree methods; adaptivity; numerical methods; crashworthiness; spot-welds; computational intelligence
Guest Editor
Prof. Hongjun Yu

Department of Astronautic Science and Mechanics, Harbin Institute of Technology, Harbin 150001, China
Website | E-Mail
Interests: fracture mechanics; computational mechanics; ferroelectric materials; brittle/quasibrittle fracture; finite element method; extended finite element method; phase field method

Special Issue Information

Dear Colleagues,

Computational mechanics has become a crucial enabling discipline that has had a profound impact on modern technology and science over the past few decades. Computational mechanics emphasizes the development of mathematical models and the application of numerical methods, digital computers for describing physical phenomena which occur in nature and in society. The general scope of work in computational mechanics is on the transformation of classical Newtonian mechanics into practical tools to predict and understand the complex physical systems ranging from kilometer-scale problems to a much finer scale, even down to nano-scale. Over the past few decades, computational mechanics has made an enormous contribution in the new product design and development process. Currently, computational methods are applied to all areas of engineering and applied science, and have become a highly active and rapidly evolving field that emerges at the frontier of science involving physics, mechanics, mathematics, and computer science.

This Special Issue aims to collect the recent advances and studies associated with the development of computational mechanics for the multi-scale and multi-physics problems posed by applied science. This area involves the study and research of theoretical and computational aspects of numerical simulations, such as applied mathematics, numerical analysis, computer science, and software engineering. Applications span across all disciplines of mechanics and related multiphysics problems: computational solid mechanics, computational fluid mechanics and transport, subsurface and surface flows, environmental modeling and remediation, computational wave propagation, bioengineering, and computational material science. All researchers/investigators are kindly invited to contribute to this Special Issue with their original research articles, short communications, and review articles.

Prof. Tinh Quoc Bui
Prof. Hongjun Yu
Guest Editors

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 850 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.


  • mechanical problems
  • mathematical problems
  • computational modeling
  • numerical simulation
  • multi-physics multi-scale problems

Published Papers (1 paper)

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Open AccessArticle
Preliminary Analysis of a Fully Ceramic Microencapsulated Fuel Thermal–Mechanical Performance
Mathematics 2019, 7(5), 448; https://doi.org/10.3390/math7050448
Received: 20 March 2019 / Revised: 29 April 2019 / Accepted: 30 April 2019 / Published: 20 May 2019
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In this paper, a two-dimensional characteristic unit was used to simulate the thermal–mechanical performance of a fully ceramic microencapsulated (FCM) fuel pellet, and the criterion of FCM structure integrity was discussed. FCM structure integrity can be reflected though the integrity of the silicon [...] Read more.
In this paper, a two-dimensional characteristic unit was used to simulate the thermal–mechanical performance of a fully ceramic microencapsulated (FCM) fuel pellet, and the criterion of FCM structure integrity was discussed. FCM structure integrity can be reflected though the integrity of the silicon carbide (SiC) matrix or SiC layers because of the excellent fission retention capability of SiC ceramics. The maximum temperature of the SiC matrix under normal conditions of the pressure water reactor (PWR) environment was about 1390 K, which was lower than the decomposition point of SiC. The maximum hoop stress of the SiC matrix, especially the inner part, was up to about 1200 MPa, and the hoop stress of the non-fuel region part was lower than the inner part, which can be attributed to the deformation of tristructural-isotopic (TRISO) particles. The hoop stress of the SiC layers at the end of life was only about 180 MPa, which is much lower than the strength of the chemical vapor deposition (CVD)-SiC. The failure probability of the SiC layer was lower than 9 × 10−5; thus, the integrity of SiC layers and the fission retention capability were maintained. The structure integrity of FCM fuel was broken because the SiC matrix cracked. Full article
(This article belongs to the Special Issue Computational Mechanics)

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