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# For a compression test on materials, a typical approach involves applying a compressive force to a material specimen # and measuring its response. The basic steps are: # 1. Create a sample of the material with known dimensions. # 2. Apply a compressive force to the sample. # 3. Record the force and the corresponding deformation of the sample. # 4. Calculate the stress (force divided by the cross-sectional area) and strain (deformation divided by original length). # However, without specific material properties or test conditions, I'll provide a simple simulation of a compression test. # This simulation assumes a linear elastic material (like a simplified steel or aluminum) for demonstration purposes. import numpy as np import matplotlib.pyplot as plt # Material properties (assuming a linear elastic material) elastic_modulus = 200000 # Modulus of Elasticity in MPa (e.g., for steel) yield_strength = 250 # Yield Strength in MPa (typical value for a medium strength steel) # Sample dimensions (for stress calculation) cross_sectional_area = 10 # in square mm (e.g., a 10 mm diameter circular cross-section) # Force application (simplified linear increase in force) max_force = 5000 # Maximum force applied in N force_steps = np.linspace(0, max_force, 100) # Incremental steps of force # Stress-Strain calculation stress = force_steps / cross_sectional_area # Stress = Force / Area strain = stress / elastic_modulus # Strain = Stress / Elastic Modulus (Hooke's Law) # Yield point calculation (where material yields) yield_point = np.where(stress >= yield_strength)[0][0] # Plotting the Stress-Strain curve plt.figure(figsize=(8, 6)) plt.plot(strain[:yield_point + 1], stress[:yield_point + 1], label='Elastic Region (Linear)') plt.plot(strain[yield_point:], stress[yield_point:], label='Plastic Region (Yield Point Reached)', linestyle='dashed') plt.axhline(y=yield_strength, color='r', linestyle='--', label='Yield Strength') plt.title('Stress-Strain Curve of a Compression Test') plt.xlabel('Strain') plt.ylabel('Stress (MPa)') plt.legend() plt.grid(True) plt.show()

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