Inverse problems in heterogeneous and fractured media using peridynamics
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Stellenbosch Univ., Stellenbosch (South Africa)
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
The following work presents an adjoint-based methodology for solving inverse problems in heterogeneous and fractured media using state-based peridynamics. We show that the inner product involving the peridynamic operators is self-adjoint. The proposed method is illustrated for several numerical examples with constant and spatially varying material parameters as well as in the context of fractures. We also present a framework for obtaining material parameters by integrating digital image correlation (DIC) with inverse analysis. This framework is demonstrated by evaluating the bulk and shear moduli for a sample of nuclear graphite using digital photographs taken during the experiment. The resulting measured values correspond well with other results reported in the literature. Lastly, we show that this framework can be used to determine the load state given observed measurements of a crack opening. Furthermore, this type of analysis has many applications in characterizing subsurface stress-state conditions given fracture patterns in cores of geologic material.
- Research Organization:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- Grant/Contract Number:
- AC04-94AL85000
- OSTI ID:
- 1248618
- Report Number(s):
- SAND-2014-17560J; 537514
- Journal Information:
- Journal of Mechanics of Materials and Structures, Vol. 10, Issue 5; ISSN 1559-3959
- Publisher:
- Mathematical Science PublishersCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Extracting Constitutive Mechanical Parameters in Linear Elasticity Using the Virtual Fields Method Within the Ordinary State-Based Peridynamic Framework
|
journal | January 2020 |
Similar Records
Simulating the Fracture of Notched Mortar Beams through Extended Finite-Element Method and Peridynamics
A Nonlocal Peridynamic Plasticity Model for the Dynamic Flow and Fracture of Concrete.