Related Experiment Video
Updated: May 29, 2025

Measurement of Liver Stiffness Using Atomic Force Microscopy Coupled with Polarization Microscopy
Published on: July 20, 2022
Rigidity-induced critical points
1Temple University, Department of Mathematics, Philadelphia, Pennsylvania 19122, USA.
Abstract:
While classical theory of phase transitions deals with systems in which shape variation is energetically neutral, the account of rigidity can lead to the emergence of new thermodynamic features. One of them is a special type of critical points that are characteristic of phase transitions specifically in solids. We develop a general theory of such rigidity-induced critical points and illustrate the results by analyzing in detail the case of an isotropic, geometrically nonlinear solid undergoing a volumetric phase transition at zero temperature.
Related Concept Videos
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Stability of structures
Temperature Dependent Deformation
Statically Indeterminate Problem Solving
Plastic Deformations
Deformations in a Symmetric Member in Bending
When the member is segmented into tiny cubic elements, it is observed that the primary stress...

