A General Tensorial Formulation of Acoustoelasticity and Its Representation in Cylindrical Coordinates. [PDF]
Ma Y, Xu C, Yang S, Chen C.
europepmc +1 more source
Sharpening Intertemporal Prospect Theory
Prospect theory [4] of risky choices has been extended to encompass intertemporal choices [6]. Presentation of intertemporal prospect theory suffers from minor mistakes, however [2].
Pushpa, Rathie +2 more
core
From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
wiley +1 more source
Inf-Sup Stable Space-Time Discretization of the Wave Equation Based on a First-Order-In-Time Variational Formulation. [PDF]
Ferrari M, Perugia I, Zampa E.
europepmc +1 more source
The Linearized Inverse Boundary Value Problem in Strain Gradient Elasticity
ABSTRACT In this paper we study the linearized version of the strain gradient elasticity equation in ℝ2$$ {\mathbb{R}}^2 $$ with constant coefficients and we prove that one can determine the two Lamé coefficients λ,μ$$ \lambda, \mu $$ as well as the internal strain gradient parameter g$$ g $$, as indicated by Mindlin in his revolutionary papers in 1963–
Antonios Katsampakos +1 more
wiley +1 more source
Parabolic PDEs with Dynamic Data under a Bounded Slope Condition. [PDF]
Bögelein V, Duzaar F, Treu G.
europepmc +1 more source
Elastoplasticity Informed Kolmogorov–Arnold Networks Using Chebyshev Polynomials
ABSTRACT Multilayer perceptron (MLP) networks are predominantly used to develop data‐driven constitutive models for granular materials. They offer a compelling alternative to traditional physics‐based constitutive models in predicting non‐linear responses of these materials, for example, elastoplasticity, under various loading conditions. To attain the
Farinaz Mostajeran, Salah A. Faroughi
wiley +1 more source
The work of Pierre Magal on differential equations, functional analysis and mathematical biology. [PDF]
Demongeot J, Hillen T, Ruan S, Webb G.
europepmc +1 more source
A Compact Algorithm for Applying Periodic Boundary Conditions in 3D RVE Modeling with Abaqus
ABSTRACT Periodic boundary conditions (PBCs) are essential in multiscale modeling for computing the effective properties of heterogeneous materials via representative volume elements (RVEs). While several automated solutions have been developed for implementing PBCs in finite element software, many rely on structured node classification and predefined ...
Reza Sadeghpour, Martin Kraska
wiley +1 more source
Extended Divergence-Measure Fields, the Gauss-Green Formula and Cauchy Fluxes. [PDF]
Chen GG, Irving C, Torres M.
europepmc +1 more source

