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Deformation of Member under Multiple Loadings

Deformation of Member under Multiple Loadings

When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...

Temperature Dependent Deformation

Temperature Dependent Deformation

In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added together...

Deformations in a Transverse Cross Section

Deformations in a Transverse Cross Section

When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...

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Related Experiment Video

Updated: May 29, 2026

Construction of a Preclinical Multimodality Phantom Using Tissue-mimicking Materials for Quality Assurance in Tumor Size Measurement

Construction of a Preclinical Multimodality Phantom Using Tissue-mimicking Materials for Quality Assurance in Tumor Size Measurement

Published on: July 29, 2013

A two-dimensional deformable phantom for quantitatively verifying deformation algorithms.

Neil Kirby¹, Cynthia Chuang, Jean Pouliot

¹Department of Radiation Oncology, University of California San Francisco, San Francisco, California 94143-1708, USA.

Medical Physics

|September 21, 2011

Summary

This summary is machine-generated.

A novel 2D deformable phantom accurately verifies medical image registration algorithms. This phantom simulates tumor growth and uses optical markers to establish ground-truth deformation, improving treatment planning accuracy.

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Area of Science:

Medical Imaging
Computational Anatomy
Image-Guided Therapy

Background:

Deformable image registration is crucial for accurate medical treatment planning.
Existing methods for verifying deformation algorithms require advancement.
Objective verification is needed to ensure the reliability of these algorithms.

Purpose of the Study:

To propose and validate a two-dimensional (2D) deformable phantom for objectively verifying deformation algorithms.
To establish a new standard for assessing the accuracy of image registration techniques.
To advance the development of more precise treatment planning systems.

Main Methods:

A 2D phantom simulating head and neck anatomy was developed.
Tumor growth was simulated by inflating a balloon catheter within the phantom.
Optical cameras tracked nonradiopaque markers on the phantom surface to measure ground-truth deformation before and after simulated growth.

Main Results:

The optical method successfully characterized phantom deformation.
The simulated tumor growth deformed 32 out of 54 surface markers by over 3 mm.
The most accurate deformation prediction algorithms achieved 75% accuracy when evaluated.

Conclusions:

The developed phantom provides an objective method for verifying deformation algorithms.
The phantom aids in identifying the most accurate deformation prediction techniques.
The 2D design allows for nonradiopaque markers, a key advantage for algorithm verification.