Q66: In Maxwell model, - Food Quality Management - Food Processing Technology- ICAR JRF/SRF 2024 | Agrigyan

• Mechanics of the Maxwell Viscoelastic Model:
• Consists of a Hookean spring (elasticity $E$) and a Newtonian dashpot (viscosity $\eta$) connected in series.
• Series Properties:
• Under tensile load, stress is identical across both components: $\sigma = \sigma_{\text{spring}} = \sigma_{\text{dashpot}}$.
• Strains are additive: Total strain equals the sum of elastic spring deformation and viscous dashpot flow:

$$\gamma_{\text{total}} = \gamma_{\text{elastic}} + \gamma_{\text{viscous}} \implies \frac{d\gamma}{dt} = \frac{1}{E}\frac{d\sigma}{dt} + \frac{\sigma}{\eta}$$

• Conclusion: Strains are additive (Option 1).

Correct option: (1) Strains are additive