Cheng Zhaoxiong. Paradoxes of Existence in Generalized Variational Principles in Theory of ElasticityJ. Transactions of Beijing institute of Technology, 1990, (4): 57-61.
Citation:
Cheng Zhaoxiong. Paradoxes of Existence in Generalized Variational Principles in Theory of ElasticityJ. Transactions of Beijing institute of Technology, 1990, (4): 57-61.
Cheng Zhaoxiong. Paradoxes of Existence in Generalized Variational Principles in Theory of ElasticityJ. Transactions of Beijing institute of Technology, 1990, (4): 57-61.
Citation:
Cheng Zhaoxiong. Paradoxes of Existence in Generalized Variational Principles in Theory of ElasticityJ. Transactions of Beijing institute of Technology, 1990, (4): 57-61.
Paradoxes of Existence in Generalized Variational Principles in Theory of Elasticity
Paradoxes can arise when the basic lemma of calculus of variation is applied too arbitrarily in mathematics . Similar cases could also arise on generalized variational principles with three kinds of variables in elasticity . Constitutive relations of elasticity cannot serve the purpose of Euler- Lagrange equations on calculus of variation .
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