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Park

The initial slope is defined by the elastic modulus,EE, until the stress reaches fydf_{yd}. The slope is then zero for a short strain range, then rising to a peak stress before failure.

Park initial slope diagram

σ=fud(fudfyd)(εuεεuεp)p\sigma=f_{ud}-(f_{ud}-f_{yd})(\frac{\varepsilon_u-\varepsilon}{\varepsilon_u-\varepsilon_p})^p
p=E(εuεpfudfyd)p=E(\frac{\varepsilon_u-\varepsilon_p}{f_{ud}-f_{yd}})