Elastomeric polymer material with shape memory properties and method for preparing such a material

A method for preparing a polyester polymer material, comprising successively, the steps of:

• preparing a reaction medium comprising a mixture of:
• at least one monomer selected from w-hydroxylated fatty acids, or esters of a w-hydroxylated fatty acid and an alcohol having a linear or branched, saturated or unsaturated, optionally substituted, aliphatic chain, said aliphatic chain comprising from 1 to 18 carbon atoms;
• and
• at least one phenolic compound, the total phenolic compound(s) content, determined by spectrophotometric analysis after reaction with a Folin-Ciocalteu reagent, with respect to a standard range of gallic acid, lying in a range of values from 0.3 to 42 mg equivalent of gallic acid per gram of said mixture,
• and heating this reaction medium to carry out the polymerization of said monomer and of said phenolic compound and cross-linking of the polymer thus formed.