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Related Concept Videos

Thermal Strain01:19

Thermal Strain

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Thermal strain is a concept that arises when we consider how temperature changes affect structures. Unlike the conventional assumption that structures remain constant under load, real-world scenarios often involve temperature fluctuations that can significantly impact these structures. Consider a homogeneous rod with a uniform cross-section resting freely on a flat horizontal surface. If the rod's temperature increases, the rod elongates. This elongation is proportional to the temperature...
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Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity01:15

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Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...
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Temperature Dependent Deformation01:12

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In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
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Types of Non-structural Cracks in Concrete01:28

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Non-structural cracks are primarily of three types: plastic, early-age thermal, and drying shrinkage cracks. Plastic cracks are further classified into plastic shrinkage cracks and plastic settlement cracks.
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Flexural Stress01:16

Flexural Stress

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When analyzing bending in symmetric members, it's crucial to understand how stresses distribute when subjected to bending moments. This stress distribution is effectively described by applying fundamental mechanics and material science principles, particularly Hooke's Law for elastic materials.
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Characterization of Thermal Transport in One-dimensional Solid Materials
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Interface crack between different orthotropic media under uniform heat flow.

Sheng-Hu Ding1, Xing Li1

  • 1School of Mathematics and Computer Science, Ningxia University, Yinchuan, 750021 China.

Springerplus
|September 22, 2016
PubMed
Summary

This study presents thermo-elastic solutions for cracks in orthotropic materials with a graded interface. Numerical results reveal how material properties and thermal resistance affect temperature and stress intensity factors.

Keywords:
CrackFunctionally graded orthotropic mediaInterface zoneSingular integral equationStress intensity factors

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Area of Science:

  • Solid Mechanics
  • Materials Science
  • Thermodynamics

Background:

  • Orthotropic materials are widely used in engineering applications.
  • Cracks in materials can significantly compromise structural integrity.
  • Interfacial zones between materials can influence overall mechanical behavior.

Purpose of the Study:

  • To develop plane thermo-elastic solutions for cracks in bonded orthotropic media.
  • To analyze the effect of a graded interfacial zone with spatially varying thermo-elastic moduli.
  • To investigate the influence of material properties and thermal resistance on temperature and stress intensity factors.

Main Methods:

  • The problem is modeled using singular integral equations.
  • Mixed boundary value conditions for temperature and stress fields are reduced to a system of singular integral equations.
  • Numerical methods are employed to solve the integral equations.

Main Results:

  • The study provides solutions for temperature distribution and thermal stress intensity factors.
  • Numerical results demonstrate the impact of non-homogeneity parameters and orthotropy on the thermo-elastic response.
  • The influence of dimensionless thermal resistance at the interface is quantified.

Conclusions:

  • The developed analytical framework effectively addresses cracks in bonded orthotropic media with graded interfaces.
  • Material non-homogeneity and interfacial thermal resistance are critical factors influencing thermo-elastic behavior.
  • The findings are crucial for designing structures made of advanced composite materials.