Franklin Institute

About: Franklin Institute is a archive organization based out in Philadelphia, Pennsylvania, United States. It is known for research contribution in the topics: Cosmic ray & Bearing (mechanical). The organization has 839 authors who have published 1066 publications receiving 20553 citations. The organization is also known as: The Franklin Institute & Wonderland of Science.

On some variational principles in anisotropic and nonhomogeneous elasticity

Abstract: I n previous papers (H ashin and S htrikman 1961a, b) the authors have established some new variational principles in the linear theory of elasticity for isotropic nonhomogeneous bodies with prescribed surface displacements. These have been applied to the theory of the elastic behaviour of multiphase materials. The present work is concerned with the generalization of these principles to anisotropic and nonhomogeneous elasticity ‡ and the establishment of similar variational principles for a body with prescribed surface tractions. An accompanying paper deals with the application of these variational principles to the theory of the elastic behaviour of polycrystals.

A variational approach to the theory of the elastic behaviour of polycrystals

Abstract: Variational principles for anisotropic and nonhomogeneous elasticity, established by the authors in a previous paper, have been applied to the derivation of lower and upper bounds for the elastic moduli of polycrystals in terms of the moduli of the constituting crystals. The results hold for arbitrary crystal shapes. Explicit results tor cubic polycrystals showed that the present bounds are a considerable improvement of the well-known Voigt and Reuss bounds. Good agreement with experimental results has been obtained.

Stability and Stabilization of Systems with Time Delay

Abstract: Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation, or transport phenomena in shared environments, in heredity, and in competition in population dynamics. This monograph addresses the problem of stability analysis and the stabilisation of dynamical systems subjected to time-delays. It presents a wide and self-contained panorama of analytical methods and computational algorithms using a unified eigenvalue-based approach illustrated by examples and applications in electrical and mechanical engineering, biology, and complex network analysis.

Neutralizing nanobodies bind SARS-CoV-2 spike RBD and block interaction with ACE2.

Abstract: The SARS-CoV-2 virus is more transmissible than previous coronaviruses and causes a more serious illness than influenza. The SARS-CoV-2 receptor binding domain (RBD) of the spike protein binds to the human angiotensin-converting enzyme 2 (ACE2) receptor as a prelude to viral entry into the cell. Using a naive llama single-domain antibody library and PCR-based maturation, we have produced two closely related nanobodies, H11-D4 and H11-H4, that bind RBD (KD of 39 and 12 nM, respectively) and block its interaction with ACE2. Single-particle cryo-EM revealed that both nanobodies bind to all three RBDs in the spike trimer. Crystal structures of each nanobody-RBD complex revealed how both nanobodies recognize the same epitope, which partly overlaps with the ACE2 binding surface, explaining the blocking of the RBD-ACE2 interaction. Nanobody-Fc fusions showed neutralizing activity against SARS-CoV-2 (4-6 nM for H11-H4, 18 nM for H11-D4) and additive neutralization with the SARS-CoV-1/2 antibody CR3022.