Due to their unique properties, rubber materials are widely used for engineering applications such as tires, engine mounts, seals, shock absorbers, etc. The design of these highly technical parts frequently necessitates a great control of their response and high guarantees of reliability. These objectives are severe because they cover multiple physical phenomena. In addition, the complexity of these parts requires the use of powerful simulation methods such as the finite element method. In this context, the formulation of relevant constitutive equations and the development of relevant algorithms are essential prerequisites for the prediction of the mechanical response of elastomeric parts. The latest developments concerning constitutive modelling of rubber materials, and more generally the mechanics of elastomers, are collected in the present volume, including: constitutive modelling, physical mechanisms, fatigue and fracture, structural and industrial applications. Constitutive Models for Rubber V will be of interest to undergraduates, postgraduates and researchers in mechanical engineering and rubber mechanics.