Constitutive Equations from Gaussian Molecular Network Theories in Polymer Rheology

A theoretical paper summarizing and comparing constitutive equations derived from molecular network theories for polymer liquids. The work by A. S. Lodge of the University of Wisconsin–Madison focuses on the assumptions underlying models from authors including James, Green & Tobolsky, Yamamoto, Lodge, Carreau, Meister, Kaye, Marrucci, Wagner, Phan-Thien & Tanner, and Johnson & Segalman. New assumptions are introduced to describe network strand creation and loss rates dependent on molecular weight and temperature.

Use Cases

• Comparing foundational assumptions across different molecular network theories for polymer rheology.
• Studying the formulation of constitutive equations for non-Newtonian fluid behavior.
• Analyzing the theoretical dependence of network strand dynamics on polymer molecular weight and temperature.

Strengths

• Focuses on summarizing and comparing assumptions from multiple published theories, providing a consolidated view.
• Introduces new theoretical assumptions regarding network strand creation and loss rates.

Limitations

• Description metadata is limited; actual data quality requires manual inspection after download.
• Column-level documentation is absent; field semantics must be inferred after download.
• Row count is unknown, which may limit suitability assessment.

Provenance

Source

A. S. Lodge, University of Wisconsin–Madison

Collection Method

Theoretical synthesis and comparison of published works.