Consequences of the Maxwell relation for anti-plane shear deformations of an elastic solid

摘要: Previous numerical work has predicted chaotic distributions of phases in certain deformations an elastic solid whose stress-strain relation simple shear is nonmonotone. The present provides interpretation these results making use stability considerations. For a specific material, conformal mapping technique shown to generate the totality all satisfying Maxwell relation. It that some boundary value problems have no solutions which obey Such may associated with them infinite sequence (corresponding minimizing variational calculus) satisfies sense limit. properties such sequences are examined detail, and it be interpreted as terms this sequence.