Multiscale Modeling in Engineering and Mechanics: From Microscopic to Macroscopic Mechanical Model

Dear Colleagues,

Multiscale modeling has become an important tool in the field of engineering, allowing for a more accurate understanding and prediction of the behavior of materials and structures at different scales. This Special Issue aims to bring together the latest research on multiscale modeling in engineering, with a focus on both microscopic and macroscopic mechanical modeling. The Special Issue will cover a range of topics including, but not limited to, computational methods and techniques for multiscale modeling, mechanical modeling of materials and structures at different scales, morphology analysis of heterogeneous materials, and applications of multiscale modeling in engineering problems. In particular, we encourage submissions that highlight the deep mathematical connections between the microscopic and macroscopic scales. We hope this Special Issue will provide a platform for researchers to exchange ideas and knowledge, and to promote interdisciplinary collaborations to address complex engineering problems, which may contribute to the advancement of multiscale modeling in engineering and mechanics and inspire further research in this exciting field. We welcome original research papers, reviews, and case studies on topics including, but not limited to, the following:

1. Computational methods and techniques for multiscale modeling;
2. Microscopic and macroscopic mechanical modeling and mathematical connections;
3. Multi-physics and multi-scale modeling of engineering;
4. Computational morphology analysis and characterization of multi-scale materials and structures including defects and cracks;
5. Data-driven approaches for multiscale modeling and mechanical property predictions;
6. Uncertainty and randomness quantification and sensitivity analysis in multiscale modeling;
7. Development of novel experimental techniques to probe the behavior of multiscale systems, such as in situ imaging and sensing methods;
8. Future directions in the development and application of experimental and multiscale modeling methods, including the use of advanced imaging and sensing techniques, machine learning, and artificial intelligence.

We welcome contributions from researchers in various fields, such as mechanical engineering, materials science, physics, and applied mathematics. We hope this Special Issue will provide a valuable platform for researchers to share their findings and insights, and contribute to the advancement of multiscale modeling in engineering and mechanics.

Dr. Yuexiang Lin
Dr. Jianjun Ma
Prof. Dr. Mingfeng Lei
Dr. Chengyong Cao
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

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 semimonthly 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 2600 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.

Dr. Yuexiang Lin
Dr. Jianjun Ma
Prof. Dr. Mingfeng Lei
Dr. Chengyong Cao
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

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 semimonthly 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 2600 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.

• multiscale modeling
• mathematical connections
• computational methods
• data-driven approaches
• artificial intelligence