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Abstract Solicitation for a Minisymposium on Mechanical Constitutive Modeling of Energetic Materials at 11th USNCCM

Matt Lewis's picture

Developing realistic mechanical constitutive models for practical energetic materials (solid propellants and explosives) is a significant challenge.  These materials typically are particulate composites.  They also include large volume fractions (usually greater than 80%) of particulate phases.  These materials usually exhibit a very small (or possibly nonexistent) range of linear mechanical response.  These materials may contain more than one particulate phase.  These phases often have high contrast in their mechanical properties over relevant ranges of pressure, strain rate, and temperature.

This minisymposium will be focused on these materials and computational and theoretical methods for developing mechanical constitutive models for them.  Papers that incorporate mechanisms characterized experimentally either on a composite system or a particular constituent are of particular interest.  Modeling approaches that address the multiple length scales seen in energetic materials are also desired.

Targeted themes include:

Composites Modeling

Integration with Characterization Testing

Energetic Materials

Multiple Length Scales 

Mechanical Constitutive Theories

Please submit abstracts at


Matt Lewis's picture

 I have not come across this before in the literature, but suspect that it is out there.  Suppose that one has a material with axisymmetric anisotropy in its thermal expansion tensor (CTE), with principal directions in the hoop, radial, and axial directions and different CTEs in each of those direction.  Now consider that you have an unconstrained axisymmetric body of this material.  You subject it to a uniform temperature change.  My first look at the math suggests that this can lead to thermal stresses, something not true for a similar material whose material directions are not curved.  Are there any takers who can point me to a good presentation of this in the literature?




Matt Lewis
Los Alamos, New Mexico

arash_yavari's picture

Dear Matt:

You may want to look at the book by Boley and Weiner (Theory of Thermal Stresses), though I don't know if they discuss this problem. I assume you're looking at a linear elastic material? Even if your material is nonlinear and has a temperature-dependent thermal expansion tensor, I believe this problem can be solved analytically. If you're interested, we can discuss it via email.


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