A fiber structure (200) comprising a plurality of weft layers and warp layers bonded together in a multi-layered three-dimensional weave, the fiber structure (200) comprising at least first (203) and second (204). adjacent parts in the warp direction, the first part (203) having, in a direction perpendicular to the warp and weft directions, a thickness greater than the thickness of the second part (204), characterized in that the first part (203) comprises at the core (2031) at least one fibrous texture (ML) obtained by three-dimensional weaving of the warp and weft layers in the form of a Mock Leno weave weave grid, said at least one texture (ML) being present between skins (2032; 2033) present on the surface of the first part (203) and being linked to the skins (2032; 2033) by warp threads (C3; C16) belonging to said skins which are locally deviated in said texture.
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