How Does Plasticity Theory Apply to a Spherical Cavity in Mohr-Coulomb Material?

In summary, the conversation is about a problem involving a spherical cavity in a Mohr-Coulomb incompressible material with properties defined by Young's modulus, Poisson's ratio, and internal angle of friction. The speaker has approached the problem by first assuming a plastic zone where yielding will occur, followed by an elastic zone with constant far field stress. They are unsure about the constitutive law for the plastic zone and how to determine displacements, and are seeking suggestions and any clarification on potential flaws in their approach.
  • #1
vishal007win
79
0
this is a short abstract of problm i m working upon..so please help ..suggestions are kindheartedly welcome...
a spherical cavity of radius R in a Mohr-Coulomb incompressible material. properties are defi ned by Young's modulus E, Poisson's ratio v, internal angle of friction (shi)

i approached it like this...incase of any discrepency please refine it...

first assuming a region upto which plastic zone will exist and yielding will occur ...after that elastic zone will exist... then calculating stresses in elastic zone assuming far field stress to be constant...but i am stuck for plastic zone... what is the constitutive law for this??how to determine displacements?
 
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  • #2
plasticity theory is required??please suggest any help and also if there is any flaw in my approach please clarify it....thank you
 

Related to How Does Plasticity Theory Apply to a Spherical Cavity in Mohr-Coulomb Material?

1. What is an expanding spherical cavity?

An expanding spherical cavity is a phenomenon that occurs when a solid material is exposed to a sudden increase in pressure, causing it to deform and form a spherical shape. This can happen due to various reasons such as explosions, shock waves, or high-velocity impacts.

2. How does an expanding spherical cavity affect the surrounding material?

The expanding spherical cavity can cause significant damage to the surrounding material due to the sudden increase in pressure and resulting shock waves. This can lead to cracks, fractures, and even complete disintegration of the material.

3. What factors influence the expansion of a spherical cavity?

The expansion of a spherical cavity is influenced by various factors such as the initial pressure, the strength and properties of the material, and the rate of pressure increase. The shape and size of the cavity also play a role in determining the extent of expansion.

4. How is the expansion of a spherical cavity studied and measured?

Scientists use various methods to study and measure the expansion of a spherical cavity, such as high-speed photography, laser interferometry, and numerical simulations. These methods help in understanding the dynamics of the expansion and its effects on the surrounding material.

5. What are the real-life applications of studying expanding spherical cavities?

The study of expanding spherical cavities has various real-life applications, such as in the field of engineering for designing structures and materials that can withstand high-pressure environments. It is also crucial in understanding the effects of explosions and impacts in military and industrial settings. Additionally, the study of expanding spherical cavities can provide insights into the formation of impact craters on planets and moons in our solar system.

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