On the Domain Space for Constitutive Laws in Linear Viscoelasticity.
Abstract
This document characterizes those constitutive laws in linear viscoelasticity which are compatible with certain phenomenological conditions. The constitutive law of a linearly viscoelastic fluid has a form indicating stress, linearized relative strain, and memory function (kernel a) factors. This kernel a may in general be a distribution. It is assumed that the following phenomenological conditions hold: The fluid resists deformation; positive strains yield positive stresses; and The strain resulting from a more recent instant of time has a greater influence than that from a more remote time. It is shown that the only kernels a consistent with these conditions consist of alpha a positive, monotone decreasing function defined on (O, infinity) and beta a sigma-distribution located at 0. The latter form of the kernel a corresponds to a Newtonian fluid.
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1982
- Accession Number
- ADA124360
Entities
People
- Michael Renardy
Organizations
- University of Wisconsin–Madison