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A material's elastic behavior is characterized by the disappearance of stress once the load is removed, allowing the material to return to its original state. However, when stress surpasses the yield point, yielding commences, marking the onset of plastic deformation or permanent set. This change from elastic to plastic behavior is influenced by the peak stress value and the duration before the load is removed. An intriguing observation occurs when a specimen is loaded, unloaded, and...
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Plastic deformation represents a fundamental concept in materials science, which explains the irreversible change in the shape of a material when it experiences stress beyond its elastic capability. This phenomenon is important in structural engineering, especially in designing and analyzing cantilever beams—structures that are securely fixed at one end and bear loads at the opposite end. When these beams are subjected to loads within their elastic range, they will return to their...
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The behavior of elastoplastic materials under bending stresses, particularly in structural members with rectangular cross-sections, is crucial for predicting material responses and understanding failure modes. Initially, when a bending moment is applied, the stress distribution across the section follows Hooke's Law and is linear and elastic. This distribution means the stress increases from the neutral axis to the maximum at the outer fibers, up to the elastic limit.
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Inverse Method to Determine Parameters for Time-Dependent and Cyclic Plastic Material Behavior from Instrumented

Hafiz Muhammad Sajjad1, Thomas Chudoba2, Alexander Hartmaier1

  • 1Interdisciplinary Centre for Advanced Material Simulation (ICAMS), Ruhr-Universität Bochum, Universitätsstr 150, 44801 Bochum, Germany.

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Summary
This summary is machine-generated.

This study introduces an inverse analysis method combining instrumented indentation tests and simulations to determine time-dependent material properties. The approach successfully characterized viscoplastic behavior and work-hardening in martensitic steel.

Keywords:
finite element modelinstrumented indentationinverse analysiskinematic hardeningspherical indentationviscoplastic material properties

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Computational Mechanics

Background:

  • Instrumented indentation testing is a key method for evaluating material hardness and elastic properties.
  • Advanced techniques combine indentation with simulations to determine complex material characteristics like yield strength and work-hardening.
  • Inverse analysis offers a powerful approach to extract material parameters by minimizing discrepancies between simulated and experimental indentation data.

Purpose of the Study:

  • To develop a protocol for instrumented indentation tests and an inverse analysis procedure.
  • To obtain material parameters for time-dependent viscoplastic behavior and kinematic/isotropic work-hardening.
  • To compare two optimization strategies for parameter identification.

Main Methods:

  • Developed a protocol for instrumented indentation tests.
  • Implemented an inverse analysis procedure to determine material parameters from experimental data.
  • Assumed known elastic properties and initial yield strength, which are independently determinable.
  • Employed and compared two distinct optimization strategies for parameter identification.

Main Results:

  • Successfully obtained material parameters for time-dependent viscoplastic behavior.
  • Characterized kinematic and isotropic work-hardening using the developed inverse method.
  • Applied the new inverse method for spherical indentation to martensitic steel, demonstrating its efficacy.

Conclusions:

  • The developed inverse analysis method effectively determines time-dependent viscoplastic material parameters and work-hardening characteristics.
  • The protocol is successfully validated through application to martensitic steel.
  • This approach enhances the capability of indentation testing for comprehensive material characterization.