Particle image velocimetry (PIV), a method based on image cross-correlation, is widely used
for obtaining velocity fields from time-series of images of deforming objects. Rather than …

A continuum model for lung parenchyma is constructed. The model describes the
thermomechanical response over a range of loading rates—from static to dynamic to shock …

A novel thermodynamic framework for the continuum mechanical response of nonlinear
solids is described. Large deformations, nonlinear hyperelasticity, viscoelasticity, and …

Two triangular factorizations of the deformation gradient tensor are studied. The first, termed
the Lagrangian formulation, consists of an upper-triangular stretch premultiplied by a …

A nonlinear viscoelastic model for the lung is implemented and evaluated for high-rate
loading. Principal features of the model include a closed-cell approximation of the bulk …

QR decomposition-based constitutive relations for hyperelastic materials have attracted
great attention from the community of solid mechanics, as hyperelastic models in terms of …

A constitutive model for elastic–plastic materials is developed using scalar, conjugate, stress–
strain, base pairs in a finite deformation setting. These conjugate base pairs arise from an …

In a previous study from the author and his co-worker, a constitutive model for isotropic,
elastic perfectly-plastic materials was developed using scalar, conjugate, stress/strain base …

Eulerian and Lagrangian measures for Laplace stretch are established, along with a
strategy to ensure that these measures are indifferent to observer. At issue is a need to …

In previous studies by the authors, a kinematic framework using physical attributes arising
from a Gram–Schmidt factorization of the deformation gradient has been developed. It …