Strain Trajectories
Strain Trajectories - Related Videos
01:26
Orthogonal Trajectories
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2026
Orthogonal trajectories describe the geometric relationship between two families of curves that intersect each other at right angles. One illustrative case involves a family of parabolas that open sideways along the x-axis. These curves share a common shape but differ by a scaling parameter, resulting in a set of curves that all pass through the origin and widen at different rates.Determining Orthogonal TrajectoriesTo identify the orthogonal trajectories for these parabolas, the first step...
16:14
Trajectory Data Analyses for Pedestrian Space-time Activity Study
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Cited by 15 •
2013
A suite of spatiotemporal processing methods are presented to analyze human trajectory data, such as that collected using a GPS device, for the purpose of modeling pedestrian space-time activities.
04:24
Studying Cell Rolling Trajectories on Asymmetric Receptor Patterns
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Cited by 3 •
2011
We describe a protocol to observe and analyze cell rolling trajectories on asymmetric receptor-patterned substrates. The resulting data are useful for engineering of receptor-patterned substrates for label-free cell separation and analysis.
02:58
Measurement of Compressive Stress-Strain Response at Small-Strains
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2025
This protocol presents the configuration of a compression test device capable of precisely measuring the mechanical properties of microstructures in the small-strain region, along with a systematic method for compression testing using this device. The proposed device can be used to analyze various microstructures and the mechanical behavior of polymer-based materials.
07:03
"Avatar", a Modified Ex vivo Work Loop Experiments Using In vivo Strain and Activation
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Cited by 6 •
2023
This article details the methodology for emulating in vivo muscle force production during ex vivo work loop experiments using an "avatar" muscle from a laboratory rodent to assess the contributions of strain transients and activation to the muscle force response.
FAQs
A single endpoint can show how much deformation occurred, but not how that state was reached. Strain trajectories preserve the sequence of strain changes during loading, unloading, cyclic testing, or recovery. That sequence exposes responses associated with loading history and rate, allowing investigators to distinguish materials or tissues that reach similar final strains through different mechanical pathways.
The choice between local and global strain changes the question the trajectory can answer. Local measurements describe deformation at specific regions, whereas global measures summarize the engineered construct or material as a whole. Tracking individual strain components or complete strain tensors can then show whether behavior is uniform or varies across the object, supporting more precise interpretation of mechanical response.
Loading rate and loading history are important because the same material or tissue may follow different strain paths under different test conditions. Comparing trajectories from loading, unloading, cyclic testing, and recovery helps separate effects associated with the applied sequence from the final deformation alone. In bioengineering, this comparison is useful for assessing responses under conditions intended to reflect physiological use.
To construct a trajectory, investigators record strain components or tensors at successive stages of a mechanical test rather than only at its endpoint. They may organize the observations against elapsed time or against another strain coordinate. Applying this workflow across loading, unloading, cyclic, or recovery phases produces a record that can be compared between test conditions.
Because they retain mechanical evolution throughout a test, strain trajectories can support constitutive modeling and device design beyond endpoint characterization. The recorded paths provide a basis for evaluating how materials, tissues, or engineered constructs respond across changing conditions. This broader mechanical description helps researchers assess structural performance when a design must withstand loading histories rather than a single isolated deformation.
Researchers can compare trajectories from normal and altered tissues or constructs to identify differences in mechanical response across loading, unloading, cyclic testing, or recovery. The comparison may use local or global strain and may track components or tensors over time or strain space. These observations help characterize soft-tissue and biomaterial behavior in bioengineering investigations.