Constitutive sets of convex static systems

TL;DR

This paper explores the principle of virtual work in dissipative systems, introduces generating families of forms, and discusses critical points of convex forms with various examples.

Contribution

It introduces the concept of generating families of forms and the notion of critical points of convex forms in the context of convex static systems.

Findings

Introduction of generating families of forms

Discussion of critical points of convex forms

Application to dissipative systems

Abstract

The principle of virtual work for dissipative systems is stated. Partially controlled systems are discussed and the concept of a generating families of forms is introduced. The notion of a critical point of a family of convex forms is introduced and discussed. A number of examples is given.