Biomedical Engineering / Bone Tensile Elastic Modulus
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LABORATORY 18 · BIOMEDICAL ENGINEERING

Cortical Bone Tensile Elastic Modulus & Stress-Strain Tensile Testing

Determine the longitudinal Young's modulus of cortical bone specimens loaded in uniaxial tension using extensometer strain tracking in a physiological saline bath. Explore interactive physiological instrumentation simulation, biomechanics, and biomedical engineering telemetry.

BIOINSTRUMENTATION · BIOSIGNALS · BIOMECHANICS · IMAGING

Your virtual biomedical engineering laboratory.

TENSILE STRESS Σ—
PHYSIOLOGICAL & TEST CELL TELEMETRY

Ready to sample with Strain ε = 3.0 mstrain.

3.0 mstrain
Specimen: Bovine diaphyseal cortical bone (longitudinal)

Adjust Strain ε, then execute biomedical trial.

Biomedical engineering telemetry and physiological states are evaluated rigorously using 64-bit IEEE 754 precision. Residuals reflect ordinary least-squares regression across successive observations. Continuous data structures support high-fidelity biological and physiological modeling.

Biomedical assumptions and boundary condition limits

The linear elastic Hookean model applies strictly to small strains (ε < 0.006); post-yield microcracking requires continuum damage mechanics. Evaluated on machined cortical bone test coupons (gauge length 25.0 mm, rectangular cross-section 4.0 mm × 2.0 mm) excised along the longitudinal diaphyseal axis. Tested in 37 °C phosphate buffered saline (PBS) at a quasi-static strain rate of 0.001 s⁻¹. Linear elastic slope E = 17.5000 GPa is determined over strains from 1.0 to 6.0 mstrain.

Biomedical apparatus & physiological sensors.

Servohydraulic Biomechanical Testing Frame

Applies controlled uniaxial tensile displacement at constant strain rates with closed-loop actuator control.

High-Precision Non-Contact Optical Video Extensometer

Tracks gauge-length marker displacements to 0.1 μm without contacting the delicate bone surface.

Submerged Physiological Saline Chamber (37.0 °C)

Maintains specimen hydration and physiological temperature to prevent tissue embrittlement.

Low-Capacity 5 kN Dynamic Load Cell

Measures applied axial tensile force with 0.1% accuracy and sub-Newton resolution.

Precision Specimen Collet Grips with Serrated Inserts

Prevents end-slip and minimizes stress concentration outside the calibrated gauge section.

Digital Micro-Caliper & Optical Measurement Microscope

Determines cross-sectional gauge dimensions (width and thickness) with 1 μm precision.

FOLLOW THE METHOD

A reason behind every step.

Determine the longitudinal Young's modulus of cortical bone specimens loaded in uniaxial tension using extensometer strain tracking in a physiological saline bath. Standardized parameter settings: 1.0, 2.0, 3.0, 4.0, 5.0, 6.0 mstrain.

01

Specimen Preparation and Hydration Equilibrium

Retrieve machined longitudinal cortical bone specimen from -20 °C storage, thaw in PBS at 37 °C, and measure cross-sectional gauge dimensions with optical micrometer.

02

Grip Alignment and Zero Load Setting

Mount the bone specimen in the mechanical testing collet grips, verify axial alignment to prevent bending moments, and zero the 5 kN load cell in the slack position.

03

Optical Extensometer Marker Calibration

Affix two high-contrast retro-reflective gauge markers 25.0 mm apart on the bone face and calibrate the video extensometer tracking algorithms.

04

Preconditioning Cyclic Loading

Apply 10 cycles of triangular tensile preconditioning from 0 to 0.5 mstrain at 0.1 Hz to establish steady-state viscoelastic baseline.

05

Quasi-Static Uniaxial Tensile Progression

Execute tensile loading ramp at 0.001 s⁻¹ through strain increments of 1.0, 2.0, 3.0, 4.0, 5.0, and 6.0 mstrain, logging load and extensometer strain at 100 Hz.

06

Elastic Modulus Linear Regression Analysis

Convert load to engineering stress σ = F/A, plot σ versus strain ε, and calculate Young's modulus E from the slope of the linear elastic region.

YOUR NOTEBOOK · 0 OBSERVATIONS

Turn measurements into biomedical engineering insight.

See a complete example report ↗

Points are your recorded observations. The solid regression line validates Bone Tensile Elastic Modulus mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
σ = E · ε = 17.5000 · ε (where 1 mstrain = 10⁻³ mm/mm)
#Longitudinal Tensile Strain ε (mstrain)Tensile Stress σ (MPa)Tensile strain ε (mstrain)Tensile stress σ (MPa)Remove

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CHECK YOUR UNDERSTANDING

Explain what the biomedical metrics mean.

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