Medical imaging is vital to modern clinical practice, enabling clinicians to examine tissues inside the human body non-invasively. Its value depends on accuracy, resolution, and the imaged property (e.g., density). Various new scanning techniques are aimed at producing elasticity images related to mechanical properties (e.g., stiffness) to which conventional forms of ultrasound, X-ray and magne...

We are developing a system for real-time estimation and display of tissue elastic properties using a clinical ultrasonic imaging system. Our hypothesis is that real-time feedback of elasticity images is essential in obtaining high-quality data. Extensive experience with laboratory fixtures and off-line processing of elasticity data showed that problems occurring in data acquisition often result...

A nominal finite element solver is proposed for data-driven strain elasticity. It bypasses the need a constitutive model by considering database of deformation gradient/first Piola–Kirchhoff stress tensors pairs. The boundary value problem reformulated as constrained minimization distance between (i) mechanical states, i.e. strain–stress, in body and (ii) material states coming from database. c...

Abstract Within the last years pressure robust methods for discretization of incompressible fluids have been developed. These allow use standard finite elements solution problem while simultaneously removing a spurious influence in approximation error velocity fluid, or displacement an solid. To this end, reconstruction operators are utilized mapping discretely divergence free functions to func...

This paper contains a strain gradient theory to capture size effects in rotating nanodisks of variable thickness under thermal and mechanical loading. Material properties of nanodisks have been taken homogeneous material. The strain gradient theory and the Hamilton’s principle are employed to derive the governing equations. Due to complexity of the governing differential equation and boundary c...

BACKGROUND Decreased elasticity of the aorta is associated with aging and several risk factors of atherosclerosis. The data regarding this phenomenon in patients with familial hypercholesterolemia are rather sparse. OBJECTIVES To evaluate non-invasively the elasticity of the proximal ascending aorta of 51 heterozygous FH patients compared to 42 normal age and gender-matched controls. METHOD...

2 Kinematics 12 2.1 Geometric interpretation of the deformation gradient . . . . . . . . . . . . . . . . . . 12 2.2 Small strain and linearization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.3 Transformations of a deformation gradient . . . . . . . . . . . . . . . . . . . . . . . . 14 2.4 Compatibility conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....