Consistency of the Duhem Model with Hysteresis

Figure 4

 (a) 𝜎_𝛾,𝐹(𝑡) versus 𝑡. (b) 𝜎_𝛾,𝐹(𝑡) versus 𝑢(𝑡). (c) 𝜎_𝛾(𝑡) versus 𝑡. (d) 𝜎̇_𝛾(𝑡) versus 𝑡. (e) 𝑞_𝑢(𝑡) versus 𝑡. (f) 𝑞̇_𝑢(𝑡) versus 𝑡. The plots are for system (92) of Example 29. In each plot, 𝑞_𝑢 and 𝑞̇_𝑢 are the solid black lines.

(a)

(b)

(c)

(d)

(e)

(f)