The State-Based Peridynamic Lattice Model
The reigning material model of today is continuum mechanics. Continuum mechanics assumes that a material is continuous and can be represented by mathematical functions. This is an unreasonable assumption for concrete due in part to the fact that concrete cracks and the continuum mechanics model cannot directly handle fracture. In response to some of the limitations of continuum mechanics, Silling proposed a new method called peridynamics. Peridynamics assumes that a material is made up of particles which interact with each other via forces. In this thesis we introduce the state-based peridynamic lattice model (SPLM) and describe its fundamental assumptions. SPLM discretizes a body into a finite number of particles that are arranged by a hexagonal close-packed lattice. We present a SPLM linear-elasticity and plasticity model that has been derived from the classical model. We then conclude this thesis with several benchmark examples and a look forward to future research.
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