AbstractA new method is given for obtaining solutions to 2-Dimensional compatibility equations, different from the degenerating method of the 3-D Volterra formula. It is solved by defining a tensor called Newton logarithmic potential of strain tensor.Keywordssolutionscompatibility equationsplane strain problemsGet full access to this articleView all access options for this article.Get accessReferences1. Sokolnikoff I. S. , Mathematical theory of elasticity, second edn, McGraw-Hill (1956).2. Courat R. Hilbert D. , Methods of Mathematical Physics, John Wiley & Sons, (1962).