A Quantitative Study on Branching Density Dependent Behavior of Polylactide Melt Strength.

Polymer melt strength (MS) is strongly correlated with its molecular structure, while their relationship is not very clear yet. In this work, designable long-chain branched polylactide (LCB-PLA) is prepared in situ by using a tailor-made (methyl methacrylate)-co-(glycidyl methacrylate) copolymer (MG) with accurate number of reactive sites. A new concept of branching density (φ) in the LCB-PLA system is defined to quantitively study their relationship. Importantly, a critical point of φ  = 5.5 mol/10  mol C is revealed for the first time, below which the zero-shear viscosity (η ) corresponding to MS increases slowly with a slope of Δη /Δφ = 1400, while it increases sharply above this critical point due to entanglement of neighboring LCB-PLA chains. Consequently, the MS of PLA increased by >100 times by optimizing the LCB structures while maintaining processibility. Therefore, this work provides a deeper understanding and feasible route in quantitative design of polymers with high(er) melt strength for some specialty applications.