1.2 Compositions of Rheological Models
13
σ
σ
σ
σ
σ
σ
1
2
Fig. 1.11 Parallel-serial arrangements of ERMs. These are denoted the Generalized Maxwell SLS
(Zener-M), the spring+[dashpot-slider], and the Generalized Prandtl SLS model, respectively
secondary ERM coincide σ 2.1 = σ 2.2 = σ 2.3 ), whereas the strain of the resulting
parallel-serial-CRM coincides with the strain 1 in the primary ERM and the resulting
strain 2 in the serial-CRM (the summation of the strains 2.1 to 2.3 in the three serial
secondary ERMs)
σ = σ 1 + σ 2 and = 1 = 2
with
2 = 2.1 + 2.2 + 2.3 and σ 2 = σ 2.1 = σ 2.2 = σ 2.2 .
(1.10)
Possible parallel-serial combined arrangements of the three ERMs from Fig. 1.1 are
showcased for completeness in Fig. 1.14.
13
σ
σ
σ
σ
σ
σ
1
2
Fig. 1.11 Parallel-serial arrangements of ERMs. These are denoted the Generalized Maxwell SLS
(Zener-M), the spring+[dashpot-slider], and the Generalized Prandtl SLS model, respectively
secondary ERM coincide σ 2.1 = σ 2.2 = σ 2.3 ), whereas the strain of the resulting
parallel-serial-CRM coincides with the strain 1 in the primary ERM and the resulting
strain 2 in the serial-CRM (the summation of the strains 2.1 to 2.3 in the three serial
secondary ERMs)
σ = σ 1 + σ 2 and = 1 = 2
with
2 = 2.1 + 2.2 + 2.3 and σ 2 = σ 2.1 = σ 2.2 = σ 2.2 .
(1.10)
Possible parallel-serial combined arrangements of the three ERMs from Fig. 1.1 are
showcased for completeness in Fig. 1.14.