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Advanced Modeling and Simulation in Engineering Sciences
Fig. 12 | Advanced Modeling and Simulation in Engineering Sciences

Fig. 12

From: Computational homogenization of transient chemo-mechanical processes based on a variational minimization principle

Fig. 12

Pattern transformation due to macroscopically driven swelling of a periodic RVE. Due to swelling of the matrix, the microscopic inclusions initially shrink homogeneously. Then, at a critical loading point, the periodic RVE undergoes a pattern transformation such that the initially circular inclusions deform to non-circular shapes. The contour shows the \(P_{11}\) component of the first Piola-Kirchhoff stress tensor \({{\varvec{P}}}\) at three different time steps for an RVE build out of four unit cells

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