deploy: 4809e0e

_sources/index.rst.txt

@@ -14,11 +14,11 @@ The LMI process is challenging to model due to the rapid temperature changes, wh
 Ultimately, this leads to plastification and residual eigenstresses in particles and matrix. These depend on the process parameters.
 In order to predict these stresses, we propose a major extension of the Nonuniform Transformation Field Analysis
 that enables the method to cope with strongly varying thermo-elastic material parameters over a large temperature range (here: 300 to 1300K).
-The newly proposed $\theta$-NTFA method combines the NTFA with a Galerkin projection to solve for the self-equilibrated fields
+The newly proposed θ-NTFA method combines the NTFA with a Galerkin projection to solve for the self-equilibrated fields
 needed to gain the NTFA system matrices. For that, we exploit our recent thermo-elastic reduced order model [1]
 and extend it to allow for arbitrary polarization strains.
 An efficient implementation anda rigorous separation of the derivation of the reduced order model is proposed.
-The new $\theta$-NTFA is then validated for various thermo-mechanical loadings and in thermo-mechanical two-scale simulations.
+The new θ-NTFA is then validated for various thermo-mechanical loadings and in thermo-mechanical two-scale simulations.
 
 [1] S. Sharba, J. Herb, F. Fritzen, Reduced order homogenization of thermoelastic materials with strong temperature
 dependence and comparison to a machine-learned model, Archive of Applied Mechanics 93 (7) (2023) 2855–2876.

index.html

@@ -92,11 +92,11 @@ <h2>Thermo-Plastic Nonuniform Transformation Field Analysis<a class="headerlink"
 Ultimately, this leads to plastification and residual eigenstresses in particles and matrix. These depend on the process parameters.
 In order to predict these stresses, we propose a major extension of the Nonuniform Transformation Field Analysis
 that enables the method to cope with strongly varying thermo-elastic material parameters over a large temperature range (here: 300 to 1300K).
-The newly proposed $theta$-NTFA method combines the NTFA with a Galerkin projection to solve for the self-equilibrated fields
+The newly proposed θ-NTFA method combines the NTFA with a Galerkin projection to solve for the self-equilibrated fields
 needed to gain the NTFA system matrices. For that, we exploit our recent thermo-elastic reduced order model [1]
 and extend it to allow for arbitrary polarization strains.
 An efficient implementation anda rigorous separation of the derivation of the reduced order model is proposed.
-The new $theta$-NTFA is then validated for various thermo-mechanical loadings and in thermo-mechanical two-scale simulations.</p>
+The new θ-NTFA is then validated for various thermo-mechanical loadings and in thermo-mechanical two-scale simulations.</p>
 <p>[1] S. Sharba, J. Herb, F. Fritzen, Reduced order homogenization of thermoelastic materials with strong temperature
 dependence and comparison to a machine-learned model, Archive of Applied Mechanics 93 (7) (2023) 2855–2876.
 doi: <a class="reference external" href="https://doi.org/10.1007/s00419-023-02411-6">10.1007/s00419-023-02411-6</a></p>