Skip to main content
. 2025 Mar 28;17(7):918. doi: 10.3390/polym17070918
λ, λm, and λa stretch ratio (elongation), mean, and amplitude, respectively;
εE engineering (nominal) strain
εGL Green–Lagrange strain,
εAE Almansi–Euler strain
εL logarithmic strain
εo octahedral shear strain
Eij (i,j=1,2,3) strain components of Green–Lagrange strain tensor E
εf effective tensile strain criterion
εfi(i=1,2,3) principal components of εf
σmax maximum eigenvalue of the Cauchy stress tensor
da/dN crack growth rate where the crack length is a and the number of cycles is N
Tmax the maximum tearing energy
U internal energy stored in the component
A crack area of a single fracture surface
W and Wc SED and CED, respectively
R-ratio (Rγ, Rε, Rδ or Rθ) ratio of minimum to maximum load during one cycle
δ and θ displacement and twist/rotation, respectively
P and T axial load and torque, respectively
γ, γm, and γa shear strain (the twist per unit length), mean value, and amplitude, respectively
ω the signal frequency
φ the phase angle between extension and twist
B stretch biaxiality ratio (defined as the ratio of log of transverse principal stretch to log of maximum principal stretch)
SN stress versus number of cycles to failure
E* complex modulus
CB carbon black
HF hemp fiber
MREs magnetorheological elastomers
MR magnetorheological
EOMt expanded organo-montmorillonite
SR silicone rubber
NR natural rubber
SBR styrene butadiene rubber
SED strain energy density
CED cracking energy density
EPDM ethylene propylene diene monomer rubber
FEA finite element analysis
ERR energy release rate
TE tearing energy
SWT Smith–Watson–Topper
CXH Chen–Xu–Huang
CMA configurational mechanics approach
CPA critical plane approach
CLD constant life diagram
1D, 3D, 6D one-, three-, six-dimensional
CDM continuous damage mechanics
SENT single-edged notched tension specimen
LEFM linear elastic fracture mechanics
MCS Monte Carlo simulation
ML machine learning
ISSA-SVR improved sparrow search algorithm and the support vector regression
BPNN back-propagation neural network
ISCA improved sine–cosine algorithm
SVM support vector machine
CR polychloroprene rubber
AN2 and AN5 cylindrical hourglass-shaped specimens with notch radii equal to 1.75 and 4.75 mm, respectively.
AE2 and AE42 axisymmetric specimens with curvature radii equal to 2 and 42 mm, respectively.
DENT double edge notched tension specimen
CCT center cracked tension specimen
PS pure shear or planar tension specimen with or without a precut
phr parts per hundred rubber
NBR nitrile butadine rubber
CIP carbonyl iron powder/particle