Civil Engineering ETDs

Publication Date



Peridynamics, as originally proposed by Silling in 1998, is a spatio-temporal integral reformulation of the classical partial differential equations of motion. In contrast with the classical theory, the concepts of stress and strain are not needed in peridynamics. The original bond-based peridynamic theory has several drawbacks including being limited to modeling materials with Poissons ratio of one-quarter. In 2007, Silling generalized his model by introducing state-based peridynamics. Sau et al. proposed a micropolar model for concrete in 2007, but were unable to fully implement the model. In 2011, Sakhavand developed software called pdQ that is capable of modeling micropolar peridynamics. While he did model concrete using the bond-based peridynamic theory, he did not attempt to model concrete using micropolar peridynamics. In 2011 Rahman developed a micropolar peridynamic model with hexagonal particle lattice. Rahman studied only linear elastic problems with this model. In this thesis, we propose a new micropolar peridynamic lattice-based damage model for concrete. The model is implemented in pdQ. This model is state-based, in that the force acting between two particles no longer depends only on the states of the two particles, but it also depends on the states of other neighboring particles. We obtained appropriate parameters for a micropolar, lattice-based, and state-based constitutive model for the concrete. Example problems, including uniaxial tension, uniaxial compression, and confined compression are considered. Known features, including elasticity, damage, and fracture, of concrete appear to be well-replicated by the new model. Also other example problems are solved to demonstrate the versatility of the new model.'


Concrete--Computer simulation, Micropolar elasticity--Computer simulation, Deformations (Mechanics)--Computer simulation.

Document Type




Degree Name

Civil Engineering

Level of Degree


Department Name

Civil Engineering

First Advisor

Gerstle, Walter

First Committee Member (Chair)

Ng, Percy

Second Committee Member

Ross, Timothy J.