Project Grant 2206114
- This $300,000 federal Project Grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at Worcester Polytechnic Institute (WPI) to develop new mathematical methods for modeling and predicting material fracture and failure. The primary goals are to establish theoretical foundations for variational models that can accurately capture fracture propagation and nucleation under applied forces, as well as to formulate and...
- This three-year National Science Foundation Project Grant of $197,999 supports research and education activities at Worcester Polytechnic Institute under the Mathematical and Physical Sciences program (CFDA 47.049). The award will fund the development of novel mathematical methods to analyze partial differential equations describing singularities in continuum mechanics and materials science systems. The principal investigator will extend differential inclusion theory on rigidity and flexibility,...
- The National Science Foundation awarded a $210,000 Project Grant to the University of California, Santa Barbara under the Mathematical and Physical Sciences program (CFDA 47.049) to analyze deformation, buckling, and fracture of materials from composite materials to thin domains. The three-year award beginning August 1, 2022 will support research and training to develop new tools for obtaining mathematically rigorous thin structure theories depending on geometric parameters of structures. The...
- This $457,384 National Science Foundation project grant supports the development of a new computational framework for stochastic analysis of quasibrittle damage and fracture through 2025. Funded under the NSF Engineering program (CFDA 47.041), key products include a mechanism-based model for mapping random fields of material properties onto finite elements to resolve mesh dependence issues in stochastic finite element simulations of quasibrittle structures. Validation will utilize experimental...
- The National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences awarded a $224,848 Project Grant titled "LEAPS-MPS: TIME-DISCRETE REGULARIZED VARIATIONAL MODEL FOR BRITTLE FRACTURE IN NOVEL STRAIN-LIMITING ELASTIC SOLIDS" to Texas A&M University-Corpus Christi, part of the Texas A&M University System. The award, effective from September 1, 2023 to August 31, 2025, aims to develop mathematical models and numerical schemes for simulating the behavior of...
- This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences provides $250,000 to the University of Illinois in Urbana, Illinois over the period of August 15, 2023 to July 31, 2026. The goal of the project is to develop a rigorous mathematical formulation to describe fractures in dissipative solids, which can dissipate energy through viscous or plastic deformation. The key objectives are to: 1) Develop a time-discrete formulation of brittle fracture...
- Worcester Polytechnic Institute (WPI) received a $159,552 Project Grant award from the National Science Foundation Division of Mathematical Sciences on August 15, 2021 to support the research project "COLLABORATIVE RESEARCH: MULTISCALE SIMULATIONS AND IMAGING OF VISCOELASTIC MEDIA IN REDUCED ORDER MODEL FRAMEWORK" through July 31, 2024. The project aims to advance understanding of major problems in mathematical and physical sciences through developing multiscale simulations and imaging...
- The National Science Foundation (NSF) awarded a 3-year, $290,000 Project Grant under its Mathematical and Physical Sciences program (CFDA 47.049) to the University of Maryland, Baltimore County (UMBC) to conduct research on predicting, suppressing, and optimizing elastic instability in three engineering applications: bridge decks, piezoelectric energy harvesters, and aircraft/projectile paneling. The research will focus on analyzing partial differential equation models of flexible plates to...
- This Project Grant award of $256,113 from the National Science Foundation (NSF) Division of Mathematical Sciences, under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049), aims to develop mathematical techniques for analyzing nonlocal models with applications in areas such as material fracture and diffusion processes. The research activities will enhance the effectiveness and reliability of nonlocal modeling approaches, like the peridynamic model, that are widely used in...
- This $493,588 project grant awarded by the National Science Foundation (NSF) under the Engineering program (CFDA 47.041) aims to advance the fundamental understanding of how polymer networks, found in materials like tires and contact lenses, break and fracture. The research will formulate and validate a new molecular-level model to explain the intrinsic fracture energy of these polymer networks, incorporating the role of surrounding material structure and how energy is dissipated during failure....
This three-year National Science Foundation Project Grant of $543,864 supports research at Worcester Polytechnic Institute to improve mathematical modeling of material failure under applied forces. Funded through the Mathematical and Physical Sciences program, the award aims to advance variational fracture models to better predict failure in applications across civil infrastructure and national defense. Specifically, the principal investigator will enhance an existing static formulation to include boundary loads, extend this to quasi-static models, and study energy drops in such models. The project also provides doctoral training opportunities. By addressing limitations of prior Dirichlet boundary condition-only models and further developing recently introduced formulations allowing Neumann boundary conditions, this research seeks to strengthen the mathematical underpinnings of predictive fracture simulation.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $271.9k | 6/23/22 |