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Related Concept Videos

Impact Loading01:19

Impact Loading

Impact loading occurs when a moving object collides with a stationary structure, such as a rod with a uniform cross-sectional area fixed at one end. Under these conditions, the rod absorbs the kinetic energy from the striking object, leading to deformation and subsequent stress development. As the rod returns to its original position and reaches maximum stress, the absorbed energy, initially manifested as kinetic energy, transforms entirely into strain energy.
In cases of elastic deformation,...
Fatigue01:21

Fatigue

Fatigue occurs when materials rupture under repeated or fluctuating loads, even at stress levels far below their static breaking strength. It typically results in brittle failure, even for ductile materials. It is a critical consideration in designing machines and structural components subjected to repetitive or varying loads. The nature of these loadings can range from fluctuating loads like unbalanced pump impellers causing vibrations to repeatedly bending a thin steel rod wire back and forth...
Strain-Energy Density01:20

Strain-Energy Density

Understanding the strain energy density in materials under axial load is crucial for evaluating their mechanical behavior and durability. When a rod is subjected to such a load, it elongates and stores energy, known as strain energy, as potential energy within the material. This energy is measured in terms of energy per unit volume.
In the elastic region of a material, the relationship between the stress and the strain is linear and follows Hooke's Law. The strain energy density in this region...
Impact Loading on a Cantilever Beam01:13

Impact Loading on a Cantilever Beam

The analysis of a cantilever beam with a circular cross-section subjected to impact loading at its free end illustrates the conversion of potential energy from a dropped object into kinetic energy, which is then absorbed by the beam as strain energy. This process is crucial for understanding how materials behave under dynamic loads, which is important in fields such as construction and aerospace.
When an object is dropped onto the free end of a cantilever, its potential energy due to gravity is...
Strain Energy01:13

Strain Energy

Strain energy is a fundamental concept in the field of materials science and structural engineering, describing the energy absorbed by a material or structure when it is deformed under load.
Consider a rod that is fixed at one end and subjected to an axial force at the free end. This axial force induces stress within the rod, leading to its elongation. As the axial force increases, so does the elongation of the rod, illustrating a direct relationship between the force applied and the resulting...
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...

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Related Experiment Video

Updated: Jul 6, 2026

Application of Design Aspects in Uniaxial Loading Machine Development
05:23

Application of Design Aspects in Uniaxial Loading Machine Development

Published on: September 19, 2018

Energetic consequences of mechanical loads.

D S Loiselle1, E J Crampin, S A Niederer

  • 1Auckland Bioengineering Institute, University of Auckland, New Zealand. ds.loiselle@auckland.ac.nz

Progress in Biophysics and Molecular Biology
|April 4, 2008
PubMed
Summary

This review examines the linear relationship between heart energy expenditure (oxygen consumption, VO2) and pressure-volume-area (PVA). It questions assumptions about cardiac work and metabolism, suggesting the phenomenon originates at the cellular level.

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Area of Science:

  • Cardiology
  • Physiology
  • Biophysics

Background:

  • The linear relationship between heart energy expenditure (oxygen consumption, VO2) and pressure-volume-area (PVA) is well-established but largely phenomenological.
  • Current models often overlook work done during passive diastole and against series elasticity during systole.
  • The assumption of basal metabolism independence from ventricular volume, despite the stretch-effect, is questioned.

Purpose of the Study:

  • To critically review the established linear VO2-PVA relationship in cardiac energetics.
  • To explore conceptual limitations in current understanding of cardiac work and metabolism.
  • To investigate the cellular origins of the VO2-PVA relationship and guide future modeling.

Main Methods:

  • Review of existing literature on cardiac energetics and the VO2-PVA relationship.
  • Conceptual analysis of work components (passive enlargement, series elasticity) and metabolic assumptions.
  • Examination of crossbridge models and thermodynamic constraints in cardiac contraction.

Main Results:

  • The VO2-PVA linearity is robust, with deviations often disregarded.
  • Evidence suggests the VO2-PVA phenomenon originates at the cellular level, not solely in the intact heart.
  • Existing crossbridge models and thermodynamic principles offer a framework for deeper understanding.

Conclusions:

  • A comprehensive understanding of the enthalpy-PVA relationship requires addressing conceptual gaps in cardiac work and metabolism.
  • Future development of mathematical models must incorporate thermodynamic constraints.
  • Understanding cardiac energetics necessitates a cellular-level perspective and advanced modeling approaches.