<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Constitutive-Models on Robert Carson</title><link>https://robertcarson.org/tags/constitutive-models/</link><description>Recent content in Constitutive-Models on Robert Carson</description><generator>Hugo -- gohugo.io</generator><language>en</language><copyright>© 2026 Robert Carson</copyright><lastBuildDate>Tue, 15 Apr 2025 00:00:00 +0000</lastBuildDate><atom:link href="https://robertcarson.org/tags/constitutive-models/index.xml" rel="self" type="application/rss+xml"/><item><title>ExaCMech: GPU-Native Crystal Plasticity Constitutive Library</title><link>https://robertcarson.org/projects/exacmech/</link><pubDate>Tue, 15 Apr 2025 00:00:00 +0000</pubDate><guid>https://robertcarson.org/projects/exacmech/</guid><description>&lt;h2 class="relative group"&gt;The Problem ExaCMech Solves
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&lt;p&gt;Crystal plasticity finite element codes spend a large fraction of their time doing one thing: the constitutive update. Given a material&amp;rsquo;s current state (its crystal orientation, internal hardening variables, elastic strain) and a prescribed deformation over a time step, compute the resulting stress and update the material state. This has to be done at every quadrature point in the mesh, which in a production micromechanics simulation means evaluating physically complex, iterative nonlinear equations simultaneously at tens of millions of points. For the problem to be tractable at scale, those evaluations need to run on the GPU, and the models need to be structured in a way that maps naturally to how GPUs actually execute work.&lt;/p&gt;</description><media:content xmlns:media="http://search.yahoo.com/mrss/" url="https://robertcarson.org/projects/exacmech/feature.png"/></item></channel></rss>