Engineering the Mechanical Behavior of Polymer Networks with Flexible Self-Assembled V-Shaped Monomers

Molecular Mechanics of Beta-Sheets

β-Sheet protein structures and domains are widely found in biological materials such as silk. These assemblies play a major role in the extraordinary strength and unique properties of biomaterials. At the molecular level, the single β-sheet structure comprises polypeptide chains in zig-zag conformations that are held together by hydrogen bonds. β-sheet domains comprise multiple β-sheets that originate from hydrophobic interactions between sheets and are held together by van der Waals interactions. In this work, we introduce molecular models that capture the response of such domains upon mechanical loading and illustrate the mechanisms behind their collapse. We begin by modeling the force that is required to pull a chain out of a β-sheet. Next, we employ these models to study the behavior of β-sheets that are embedded into and connected to an amorphous protein matrix. We show that the collapse of a β-sheet occurs upon the application of a sufficiently high force that is transferred from the chains in the matrix to individual chains of the β-sheet structure and causes shear. With the aim of understanding the response of β-sheet domains, we derive models for the interactions between β-sheets. These enable the study of critical forces required to break such domains. As opposed to molecular dynamics simulations, the analysis in this work yields simple expressions that shed light on the relations between the nanostructure of β-sheet domains and their mechanical response. In addition, the findings of this work suggest how β-sheet domains can be strengthened.

A microscopically motivated model for the swelling-induced drastic softening of hydrogen-bond dominated biopolymer networks

The penetration of water into rubber-like protein networks such as cross-linked resilin, which is found in insects, can lead to changes in stiffness that range over several orders of magnitude. This softening effect cannot be explained by the volumetric changes associated with pure swelling/deswelling used to describe networks with covalent bonds. Rather, this property stems from the reversible swelling-induced breaking of hydrogen cross-linking bonds that connect the chains in the network. This work presents a model for the swelling and the mechanical response of hydrogen-bond dominated biopolymer networks. It is shown that the penetration of water molecules into the network leads to the breaking of non-covalent cross-linking sites. In turn, the network experiences a reduction in the effective chain-density, an increase in entropy, and a consequent decrease in free energy, thus explaining the dramatic softening. Additionally, the breaking of hydrogen bonds alters the micro-structure and changes the quantitative elastic behavior of the network. The proposed model is found to be in excellent agreement with several experimental findings. The merit of the work is twofold in that it (1) accounts for the number and the strength of non-covalent cross-linking bonds, thus explaining the drastic reduction in stiffness upon water uptake, and (2) provides a method to characterize the micro-structural evolution of hydrogen-bond dominated networks. Consequently, the model can be used as a micro-structural design-guide to program the response of synthetic polymers. STATEMENT OF SIGNIFICANCE: Hydrogen-bond dominated biopolymer networks are found in insects and have a unique structure that allows a dramatic reduction of several orders of magnitude in stiffness upon hydration. Understanding the micro-structure of such networks is key in the fabrication of new biomimetic polymers with tunable mechanical properties. This work introduces a microscopically motivated model that explains the dramatic reduction in stiffness and quantifies the influence of key micro-structural quantities on the overall response. The model is validated through several experimental findings. The insights from this work motivate further attempts at the fabrication of new biomimetic polymers and serve as a micro-structural design guide that enables the programming of the elastic swelling-induced response.