16 citations · 44 across the 10 of their papers we have counts for
12 papers
A Unified Gradient Theory for Frame-Indifferent Rates of Tensorial Internal Variables
Luis Espath
We develop a thermodynamically consistent framework for weakly nonlocal continua with tensor-valued internal variables. Let , with…
Compressible fluids with distinct mass and linear-momentum transport
Luis Espath, Eliot Fried
We formulate a thermodynamically consistent continuum theory for compressible, viscous, heat-conducting fluids in which the velocity entering the balance of mass is distinguished f…
Inexact Uzawa-Double Deep Ritz Method for Weak Adversarial Neural Networks
Emin Benny-Chacko, Ignacio Brevis, Luis Espath +1
Residual minimization in dual norms is central to Weak Adversarial Neural Network (WAN) approaches for solving partial differential equations (PDEs). This framework naturally leads…
A Phase-field Model for Apoptotic Cell Death
Daniel A. Vaughan, Anna M. Piccinini, Mischa Zelzer +4
The process of programmed cell death, namely apoptosis, is a natural mechanism that regulates healthy tissue, multicellular structures, and homeostasis. An improved understanding o…
A bulk-surface continuum theory for fluid flows and phase segregation with finite surface thickness
Anne Boschman, Luis Espath, Kris van der Zee
In this continuum theory, we propose a mathematical framework to study the mechanical interplay of bulk-surfaces materials undergoing deformation and phase segregation. To this end…
A continuum framework for phase field with bulk-surface dynamics
Luis Espath
This continuum mechanical theory aims at detailing the underlying rational mechanics of dynamic boundary conditions proposed by Fischer, Maass, & Dieterich [1], Goldstein, Miranvil…
A spatio-temporal adaptive phase-field fracture method
Nicolas A. Labanda, Luis Espath, Victor Manuel Calo
We present an energy-preserving mechanic formulation for dynamic quasi-brittle fracture in an Eulerian-Lagrangian formulation, where a second-order phase-field equation controls th…
A continuum theory for mineral solid solutions undergoing chemo-mechanical processes
Santiago P. Clavijo, Luis Espath, Adel Sarmiento +1
Recent studies on metamorphic petrology as well as microstructural observations suggest the influence of mechanical effects upon chemically active metamorphic minerals. Thus, the u…
Extended Larché--Cahn framework for reactive Cahn--Hilliard multicomponent systems
Santiago P. Clavijo, Luis Espath, Victor M. Calo
At high temperature and pressure, solid diffusion and chemical reactions between rock minerals lead to phase transformations. Chemical transport during uphill diffusion causes phas…
On the control volume arbitrariness in the Navier--Stokes equation
Luis Espath
We present a continuum theory to demonstrate the implications of considering general tractions developed on arbitrary control volumes where the surface enclosing it lacks smoothnes…
Phase-field gradient theory
Luis Espath, Victor Calo
We propose a phase-field theory for enriched continua. To generalize classical phase-field models, we derive the phase-field gradient theory based on balances of microforces, micro…
On the Thermodynamics of the Swift-Hohenberg Theory
LFR Espath, AF Sarmiento, L Dalcin +1
We present the microbalance including the microforces, the first- and second-order microstresses for the Swift--Hohenberg equation concomitantly with their constitutive equations,…