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# I) Computation micro-mechanics
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# I) Computational micro-mechanics - description
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In the computational micromechanics, we need to evaluate the stress tensor $`\mathbf{P}_M(t)`$ as a function of the strain path $`\mathbf{F}_M(t)`$. With a representative volume elmeent (RVE) $`V_0`$, a microscopic boundary value problem (mBVP) is defined as
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In the computational micromechanics, we need to evaluate the stress tensor $`\mathbf{P}_M(t)`$ as a function of the strain path $`\mathbf{F}_M(t)`$. With a representative volume elmeent (RVE) $`V_0`$, a microscopic boundary value problem (mBVP) is defined as
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- Local balance:
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- Local balance:
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... | @@ -38,7 +38,7 @@ We distinguish two cases: |
... | @@ -38,7 +38,7 @@ We distinguish two cases: |
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### Definition
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### Definition
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A micro BC is defined as follows:
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A micro BC is defined as follows:
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```python
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```python
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microBC = *microBCName*(tag, dim, addDofPerVertex)
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microBC = **`microBCName`**(tag, dim, addDofPerVertex)
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```
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```
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- **microBCName**: name of micro BC. Different possibilities are avaliables and can be devided into 3 groups:
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- **microBCName**: name of micro BC. Different possibilities are avaliables and can be devided into 3 groups:
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- Periodic boundary condition:
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- Periodic boundary condition:
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