On the Compatibility Condition of Displacement Field for Finite Deformation of Continuum

Chen Zhi-da

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Chen Zhi-da. On the Compatibility Condition of Displacement Field for Finite Deformation of Continuum[J]. Applied Mathematics and Mechanics, 1983, 4(6): 757-761.

Citation:

Chen Zhi-da. On the Compatibility Condition of Displacement Field for Finite Deformation of Continuum[J]. Applied Mathematics and Mechanics, 1983, 4(6): 757-761.

Citation:

Chen Zhi-da. On the Compatibility Condition of Displacement Field for Finite Deformation of Continuum[J]. Applied Mathematics and Mechanics, 1983, 4(6): 757-761.

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On the Compatibility Condition of Displacement Field for Finite Deformation of Continuum

Chen Zhi-da

Beijing Graduate School, China Institute of Mining

Received Date: 1982-12-06
Publish Date: 1983-12-15

Abstract

Abstract

The vanishing of Riemann-Christoffel tensor is usually adopted as the compatibility condition of finite deformation, However, we prove in this paper by the method of Cesaro that this condition is necessary but not sufficient for the guarantee of single-valued, continuous displacement field, A new general compatibility condition,based on theorem of strain-rotation decomposition (Chen[4])is derived, The displacement compatible condition reduces to Saint-Venants condition when strain and rotation are infinitesimal.

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References(8)

References

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