Extension (predicate logic)

Engineering

Polymer chemistry

Construct (python library)

Materials science

Orientation (vector space)

Computer science

Polymer

Mechanical engineering

Mathematics

Polyethylene

Geometry

Composite material

Programming language

Limiting

Modulus

Polymer science

Reinforcement

Polymer Science U S S R

Ideas on the existence of a network of molecular bonds rearranged during stretching are used to construct a model helping to calculate the limiting degrees of extension λ for different conditions of formation of samples and the corresponding strength values σ. The experimental data for a number of polymers were found to be in good agreement with the calculation. On formation of PE fibres from solution by creating a “sparse” network it was possible to reach values λ = 150–200, σ = 7 GPa, Young's modulus of 144 and an acoustic modulus of 200 GPa.

Model of the orientation reinforcement of polymers and the preparation of high-strength polyethylene fibres