Mathias Legrand

1.6k total citations
56 papers, 1.1k citations indexed

About

Mathias Legrand is a scholar working on Civil and Structural Engineering, Mechanical Engineering and Control and Systems Engineering. According to data from OpenAlex, Mathias Legrand has authored 56 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Civil and Structural Engineering, 31 papers in Mechanical Engineering and 30 papers in Control and Systems Engineering. Recurrent topics in Mathias Legrand's work include Bladed Disk Vibration Dynamics (30 papers), Tribology and Lubrication Engineering (20 papers) and Vibration and Dynamic Analysis (14 papers). Mathias Legrand is often cited by papers focused on Bladed Disk Vibration Dynamics (30 papers), Tribology and Lubrication Engineering (20 papers) and Vibration and Dynamic Analysis (14 papers). Mathias Legrand collaborates with scholars based in Canada, France and United States. Mathias Legrand's co-authors include Alain Batailly, Christophe Pierre, Ivan D. Breslavsky, Marco Amabili, Patrice Cartraud, Michael P. Paı̈doussis, Mohammad Tavallaeinejad, Jean-Pierre Lombard, Mojtaba Kheiri and Bernard Peseux and has published in prestigious journals such as Journal of Fluid Mechanics, Journal of Applied Mechanics and International Journal for Numerical Methods in Engineering.

In The Last Decade

Mathias Legrand

52 papers receiving 1.1k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Mathias Legrand Canada 19 585 502 427 355 173 56 1.1k
Guo Yao China 20 462 0.8× 415 0.8× 410 1.0× 391 1.1× 78 0.5× 79 1.1k
Guilhem Michon France 21 412 0.7× 374 0.7× 575 1.3× 169 0.5× 167 1.0× 62 1.0k
Marco Morandini Italy 16 329 0.6× 251 0.5× 354 0.8× 260 0.7× 123 0.7× 97 987
P Salvini Italy 14 316 0.5× 513 1.0× 269 0.6× 433 1.2× 97 0.6× 98 989
Tiejun Yang China 20 496 0.8× 318 0.6× 765 1.8× 445 1.3× 312 1.8× 65 1.2k
Alexander D. Shaw United Kingdom 19 359 0.6× 389 0.8× 774 1.8× 292 0.8× 121 0.7× 57 1.2k
К. В. Аврамов Ukraine 21 599 1.0× 323 0.6× 599 1.4× 533 1.5× 106 0.6× 138 1.3k
Chin An Tan United States 17 518 0.9× 388 0.8× 464 1.1× 233 0.7× 135 0.8× 60 917
Shuqian Cao China 18 485 0.8× 505 1.0× 315 0.7× 171 0.5× 83 0.5× 69 958

Countries citing papers authored by Mathias Legrand

Since Specialization
Citations

This map shows the geographic impact of Mathias Legrand's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Mathias Legrand with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Mathias Legrand more than expected).

Fields of papers citing papers by Mathias Legrand

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mathias Legrand. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Mathias Legrand. The network helps show where Mathias Legrand may publish in the future.

Co-authorship network of co-authors of Mathias Legrand

This figure shows the co-authorship network connecting the top 25 collaborators of Mathias Legrand. A scholar is included among the top collaborators of Mathias Legrand based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Mathias Legrand. Mathias Legrand is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Legrand, Mathias, et al.. (2025). Added nonlinear damping of homogenized fluid-saturated microperforated plates in Forchheimer flow regime. Journal of Sound and Vibration. 606. 119018–119018. 1 indexed citations
2.
Legrand, Mathias & Christophe Pierre. (2024). A compact, equality-based weighted residual formulation for periodic solutions of systems undergoing frictional occurrences.. SPIRE - Sciences Po Institutional REpository.
3.
Legrand, Mathias, et al.. (2023). Harmonic balance-based nonsmooth modal analysis of unilaterally constrained discrete systems. Nonlinear Dynamics. 112(3). 1619–1640.
4.
Legrand, Mathias, et al.. (2023). Vibration of microperforated plate with spatial distribution of multiple-sized perforations. NOISE-CON proceedings. 268(3). 5568–5574. 1 indexed citations
5.
Legrand, Mathias, et al.. (2022). Vibration and damping analysis of a thin finite-size microperforated plate. Journal of Sound and Vibration. 541. 117295–117295. 11 indexed citations
6.
Legrand, Mathias, et al.. (2021). D’Alembert function for exact non-smooth modal analysis of the bar in unilateral contact. Nonlinear Analysis Hybrid Systems. 43. 101115–101115. 4 indexed citations
7.
Coutier-Delgosha, Olivier, et al.. (2019). Editorial to special issue: ISROMAC 2017. Journal of Sound and Vibration. 453. 41–42. 1 indexed citations
8.
Tavallaeinejad, Mohammad, Michael P. Paı̈doussis, & Mathias Legrand. (2018). Nonlinear static response of low-aspect-ratio inverted flags subjected to a steady flow. Journal of Fluids and Structures. 83. 413–428. 17 indexed citations
9.
Guérin, Nicolas, et al.. (2018). Thermomechanical Model Reduction for Efficient Simulations of Rotor-Stator Contact Interaction. Journal of Engineering for Gas Turbines and Power. 141(2). 12 indexed citations
10.
Legrand, Mathias, et al.. (2018). Nonsmooth modal analysis of an elastic bar subject to a unilateral contact constraint. Nonlinear Dynamics. 91(4). 2453–2476. 13 indexed citations
11.
Legrand, Mathias, et al.. (2017). Periodic solutions of n-dofs autonomous vibro-impact oscillators with one lasting contact phase. Nonlinear Dynamics. 90(3). 1771–1783. 1 indexed citations
12.
Batailly, Alain, Mathias Legrand, & Christophe Pierre. (2016). Full Three-Dimensional Rotor/Stator Interaction Simulations in Aircraft Engines With Time-Dependent Angular Speed. Journal of Engineering for Gas Turbines and Power. 139(3). 12 indexed citations
13.
Legrand, Mathias, et al.. (2016). Nonsmooth modal analysis of a N-degree-of-freedom system undergoing a purely elastic impact law. Communications in Nonlinear Science and Numerical Simulation. 45. 190–219. 10 indexed citations
14.
Batailly, Alain, et al.. (2015). Two-dimensional modeling of unilateral contact-induced shaft precessional motions in bladed-disk/casing systems. International Journal of Non-Linear Mechanics. 78. 90–104. 15 indexed citations
15.
Legrand, Mathias, et al.. (2013). On Solving One-Dimensional Partial Differential Equations With Spatially Dependent Variables Using the Wavelet-Galerkin Method. Journal of Applied Mechanics. 80(6). 1 indexed citations
16.
Batailly, Alain, et al.. (2013). Numerical-Experimental Confrontation in the Simulation of Tool/Abradable Material Interaction. Journal of Engineering for Gas Turbines and Power. 135(6). 12 indexed citations
18.
Batailly, Alain, Mathias Legrand, Patrice Cartraud, & Christophe Pierre. (2010). Assessment of reduced models for the detection of modal interaction through rotor stator contacts. Journal of Sound and Vibration. 329(26). 5546–5562. 47 indexed citations
19.
Laxalde, Denis & Mathias Legrand. (2010). Nonlinear modal analysis of mechanical systems with frictionless contact interfaces. Computational Mechanics. 47(4). 469–478. 12 indexed citations
20.
Legrand, Mathias, Christophe Pierre, Patrice Cartraud, & Jean-Pierre Lombard. (2008). Two-dimensional modeling of an aircraft engine structural bladed disk-casing modal interaction. Journal of Sound and Vibration. 319(1-2). 366–391. 71 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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