Uditnarayan Kouskiya Amit Acharya
We demonstrate the feasibility of a scheme to obtain approximate weak solutions to (inviscid) Burgers equation in conservation and Hamilton-Jacobi form, treated as degenerate elliptic problems. We show different variants recover non-unique weak solutions as appropriate, and also specific constructive approaches to recover the corresponding entropy solutions.
By considering the frictional sliding of randomly distributed entanglements within the polymer network upon mechanical stretches, we develop a constitutive theory to describe the large stretch behaviors of highly entangled hydrogels.
doi: https://doi.org/10.1007/s10483-024-3076-8
Solidification phenomenon has been an integral part of the manufacturing processes of metals, where the quantification ofstochastic variations and manufacturing uncertainties is critically important. Accurate molecular dynamics (MD) simulations ofmetal solidification and the resulting properties require excessive computational expenses for probabilistic stochastic analyseswhere thousands of random realizations are necessary.
This paper provides a brief review on modeling of composite structures. Composite structures in this paper refer to any structure featuring anisotropy and heterogeneity, including but not limited to their traditional meaning of composite laminates made of unidirectional fiber-reinforced composites. Common methods used in modeling of composite structures, including the axiomatic method, the formal asymptotic method, and the variational asymptotic method, are illustrated in deriving the classical lamination theory for the composite laminated plates to see their commonalities and differences.
Organization: Biomedical Engineering Laboratory / School of AME / University of Oklahoma
Location: Norman, Oklahoma, United States
Date Needed: Available immediately
Primary Category: Research staff member for animal (chinchilla) studies
Type of Position: Full-Time
Salary: To be comparable and determined
Description & Details:
Dear Colleague,
we invite you and your interested colleagues and students to submit a contribution to the mini-symposium MS036:
“Smart Soft Materials: Additive Manufacturing, Modeling, Design, and Experimentation”
within the 9th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMA2024), that will take place in Lisbon, Portugal, on June 3-7, 2024.
The deadline for presenting an abstract has been extended to January, 29th 2024.
EML Webinar (Young Researchers Forum) on 16 January 2024 will be given by Xueju Wang at University of Connecticut via Zoom meeting
Title: Morphing Materials and Multifunctional Structures/Electronics for Intelligent Systems
Discussion leader: Teng Zhang, Syracuse University
Time: 9:30 am Boston, 2:30 pm London, 3:30 pm Paris, 10:30 pm Beijing on Tuesday, 16 January 2024
Siddharth Singh Janusz Ginster Amit Acharya
A technique for developing convex dual variational principles for the governing PDE of nonlinear elastostatics and elastodynamics is presented. This allows the definition of notions of a variational dual solution and a dual solution corresponding to the PDEs of nonlinear elasticity, even when the latter arise as formal Euler-Lagrange equations corresponding to non-quasiconvex elastic energy functionals whose energy minimizers do not exist. This is demonstrated rigorously in the case of elastostatics for the Saint-Venant Kirchhoff material (in all dimensions), where the existence of variational dual solutions is also proven. The existence of a variational dual solution for the incompressible neo-Hookean material in 2-d is also shown. Stressed and unstressed elastostatic and elastodynamic solutions in 1 space dimension corresponding to a non-convex, double-well energy are computed using the dual methodology. In particular, we show the stability of a dual elastodynamic equilibrium solution for which there are regions of non-vanishing length with negative elastic stiffness, i.e. non-hyperbolic regions, for which the corresponding, primal problem is ill-posed and demonstrates an explosive ‘Hadamard instability;’ this appears to have implications for the modeling of physically observed softening behavior in macroscopic mechanical response.
