This work is supported by the National Science Foundation’s Transforming Undergraduate Education in STEM program within the Directorate for Education and Human Resources (DUE-1245025). Questions, contact education-AT-unavco.org

PHYSICAL MODELS OF DEFORMATION

Version: Sept 10, 2015

MODEL 1: RUBBER BANDS

• We’ll start by calculating extension from changes in length (steps 1–5)

MODEL 1: RUBBER BANDS

• Thought Experiment: What if you started with the band stretched?

MODEL 1: RUBBER BANDS

• We can also calculate the extension from the variation in displacement (Ub, Ur) with position (xr0, xb0)

MODEL 1: RUBBER BANDS

• What are the displacements and extension if you translate the rubber band?

MODEL 2: T-SHIRTS

• Now we’ll explore deformation in two dimensions.

• Start with translation

MODEL 2: T-SHIRTS

• Continue with– Rotation– Dilation– Extension in one

direction– Simple shear– A general

deformation

2D DEFORMATION

• A Final Challenge: How would you describe this deformation?

• Northward translation + north–south shortening