Project Grant 2607264
- The National Science Foundation Division of Mathematical Sciences awarded Louisiana State University $250,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop theory and numerical methods for computing solutions to the fracture initial value problem through blended modeling of dynamic and quasistatic fracture. The work addresses computational and theoretical gaps in predicting damage and fracture patterns in complex structural geometries under...
- The National Science Foundation Division of Mathematical Sciences awarded Iowa State University of Science and Technology $240,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on problems in local and fractional elliptic partial differential equations involving surfaces. The research addresses mathematical foundations for computational and artificial intelligence algorithms in surface design and shape optimization, with applications...
- 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...
- 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...
- 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...
- The National Science Foundation Division of Mathematical Sciences awarded $254,073 to the Board of Regents of the University of Nebraska on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop foundational mathematical theory for poroelastic filtration systems. The award supports a three-year collaborative research project (period of performance through July 31, 2029) centered on regularity, stability, and control of coupled partial differential equations...
- The National Science Foundation Division of Civil, Mechanical, and Manufacturing Innovation awarded the University of California, Davis $131,614 on January 1, 2027, to develop a discrete modeling framework for fracture and damage prediction in structural steel under NSF Engineering (CFDA 47.041). The research develops a multiscale computational framework integrating a discrete particle representation of steel microstructure within conventional finite element simulations to capture crack...
- Federal Project Grant Award Summary Worcester Polytechnic Institute received a $300,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program, effective September 1, 2025, through August 31, 2028. The project delivers mathematical and computational research products focused on advancing variational methods for fracture evolution modeling. Primary deliverables include: (1) mathematical proofs...
- The National Science Foundation Division of Mathematical Sciences awarded Cornell University $750,000 on January 1, 2027, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop automated discovery methods for structure-preserving discretizations of partial differential equations. The project, titled "AIMING: Automated Discovery for Structure-Preserving Discretizations," will create computational tools that automate the design of accurate and efficient numerical...
- 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 Division of Mathematical Sciences awarded Grinnell College $250,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop theory and numerical methods for computing solutions to the fracture initial value problem in continuum mechanics. The project addresses the computational modeling of dynamic and quasistatic fracture propagation in complex structural geometries under environmental loads. The recipient will formulate a mathematically well-posed initial value problem that predicts damage and fracture patterns by evolving material displacement according to Newton's second law, seeking a displacement-fracture pair informed by initial conditions and time-dependent boundary conditions. The blended modeling approach uses a minimal set of material parameters to predict fracture phenomena, including crack nucleation, and differs from traditional phase-field models by relying solely on the equation of motion for material displacement. The project includes developing effective computational platforms for GPU and high-performance computing cluster implementation. Undergraduate and graduate students will receive training in active development of numerical methods for these platforms. The recipient plans to offer several courses and coordinate with experimental materials scientists throughout the grant period. Performance occurs at Grinnell College in Grinnell, Iowa. The period of performance runs from September 1, 2026, through August 31, 2029.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $250.0k | 8/14/26 |