What is it about?
This paper explores how to average stress and strain tensors in any subvolume of a material, without using representative volume elements. Our method preserves the elastic energy exactly. While easily computable in terms of tensors, it can be interpreted interms of the average extensions and deformations of force paths.
Featured Image
Why is it important?
Many materials have structure on several scales. Averaging and homogenization techniques help in understanding how different scales affect the overall physical resonse of the material.
Perspectives
I am mostly a plasma and fluids physicist. A fluid mechanics person may see elasticity theory in a different way than those trained from the beginning in solid mechanics. I particularly wish to emphaisize the utility of visualizing the stress tensor in terms of force paths.
Professor Mitchell A Berger
University of Exeter
Read the Original
This page is a summary of: On the effective strain tensor in heterogeneous materials, Mathematics and Mechanics of Solids, February 2014, SAGE Publications,
DOI: 10.1177/1081286514521092.
You can read the full text:
Contributors
The following have contributed to this page
