
Mark E. Mear
· Professor; Associate Chair for Academic AffairsUniversity of Texas at Austin · Aerospace Engineering and Engineering Mechanics
Active 1983–2024
About
Dr. Mark E. Mear is a Professor and Associate Chair for Academic Affairs at the University of Texas at Austin's Department of Aerospace Engineering and Engineering Mechanics. He has been a member of the Cockrell School of Engineering faculty since 1987. His academic background includes a Ph.D. from Harvard University. Dr. Mear specializes in the mechanics of solids, with major technical interests in theoretical and applied solid mechanics, focusing on the mechanical behavior of materials and fracture mechanics. His recent work emphasizes micromechanics and computational fracture mechanics. He has published numerous technical articles and reports in his field and has received several teaching awards, including the Lockheed Martin Excellence in Engineering Teaching award in 2000 and the Texas Exes Teaching Award in 2006. Dr. Mear is also recognized as the Engineering Foundation Centennial Teaching Fellow in Engineering and is involved with research centers such as the Oden Institute for Computational Engineering and Sciences and the Center for Mechanics of Solids, Structures and Materials.
Research topics
- Engineering
- Physics
- Mathematical analysis
- Structural engineering
- Mathematics
- Geometry
- Geology
- Mechanics
- Computer Science
- Geotechnical engineering
- Applied mathematics
- Materials science
- Optics
Selected publications
Computer Methods in Applied Mechanics and Engineering · 2024-11-03 · 1 citations
articleOpen accessSenior authorAn efficient SGBEM–FEM framework for predicting transient hydrocarbon production by coupling transient Darcy flow and channel flow is proposed, which extends the steady state analysis framework developed in Hu and Mear (2022). The governing equation of transient Darcy flow in the matrix is formulated by an integral equation method, and that of channel flow in the fracture is cast in a weak form suitable for treatment with the standard finite element method. An asymptotic analysis is conducted for the transient flux field around the crack front in porous media, and a special tip element is developed to capture the dominant asymptotic field. Cracks in an unbounded domain as well as a layered domain are treated. For the layered domain simulation, a fast algorithm is developed for evaluating the bounded layer kernel based upon Ewald summation. The numerical implementation is verified with the solution to the decoupled transient Darcy flow equation and the coupled equations, respectively. Numerical examples consisting of sequential circular cracks, sequential long cracks and petal cracks are presented to demonstrate the capability of the proposed framework. The proposed framework could potentially be a useful basis for extensions to model related engineering processes involving fluid flows in fractured subsurfaces (such as contaminant transport, nuclear waste disposal, and carbon capture). • Transient Darcy flow-channel flow coupled problem is solved by SGBEM-FEM. • Perturbation governing equations are solved to circumvent domain integral. • Asymptotic analysis is conducted for developing special tip element. • Fast algorithm is developed for layered domain kernel by Ewald summation.
Computer Methods in Applied Mechanics and Engineering · 2023 · 11 citations
Senior authorCorresponding- Mathematics
- Mechanics
- Geometry
Computer Methods in Applied Mechanics and Engineering · 2022 · 11 citations
Senior authorCorresponding- Mathematics
- Mechanics
- Mathematical analysis
International Journal of Fracture · 2022 · 5 citations
- Computer Science
- Mathematical analysis
- Mathematics
Computer Methods in Applied Mechanics and Engineering · 2019-01-11 · 20 citations
articleSenior authorInternational Journal of Fracture · 2018-04-05 · 13 citations
articleSenior authorIsogeometric symmetric Galerkin boundary element method for three-dimensional elasticity problems
Computer Methods in Applied Mechanics and Engineering · 2017-05-19 · 32 citations
articleA weakly singular SGBEM for analysis of two-dimensional crack problems in multi-field media
Engineering Analysis with Boundary Elements · 2014-02-02 · 10 citations
articleSenior authorA lubrication fracture model in a poro-elastic medium
Mathematical Models and Methods in Applied Sciences · 2014-09-26 · 77 citations
articleSenior authorWe present a non-planar fracture model in a poro-elastic medium. The medium in which the fracture is embedded is governed by the standard Biot equations of linear poro-elasticity and the flow of the fluid within the fracture is governed by the lubrication equation. We establish existence and uniqueness of the linearized coupled system under weak assumptions on the data. Two discretizations of the problem are formulated: one with a continuous Galerkin method and one with a mixed method for the flow in the reservoir and in the fracture. We perform the numerical analysis of the former and we provide an algorithm and numerical experiments for the latter.
Computational Geosciences · 2014-03-26 · 31 citations
article
Recent grants
Growth of Three Dimensional Cracks
NSF · $483k · 2002–2007
Frequent coauthors
- 11 shared
Jaroon Rungamornrat
Chulalongkorn University
- 5 shared
B. J. Lee
Feng Chia University
- 4 shared
Vivette Girault
Laboratoire Jacques-Louis Lions
- 4 shared
Han D. Tran
University of Utah
- 4 shared
B.J. Lee
The University of Texas at Austin
- 4 shared
Jing Hu
- 3 shared
Mary F. Wheeler
- 3 shared
Benjamin Ganis
The University of Texas at Austin
Education
Ph.D.
Harvard University
Awards & honors
- Lockheed Martin Excellence in Engineering Teaching award (20…
- Texas Exes Teaching Award (2006)
- Engineering Foundation Centennial Teaching Fellow in Enginee…
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