# openAPI Documentation - JSON format (dot notation) post.responses.default.content.application/json.schema.$ref = #/components/schemas/JSONStream post.requestBody.required = true post.requestBody.content.application/json.schema.$ref = #/components/schemas/JSONStream post.parameters.0.in = query post.parameters.0.name = path post.parameters.0.schema.type = string post.parameters.0.description = The path in each object to enrich with an Python script post.parameters.1.in = query post.parameters.1.name = indent post.parameters.1.schema.type = boolean post.parameters.1.description = Indent or not the JSON Result post.parameters.2.in = query post.parameters.2.name = output post.parameters.2.schema.type = string post.parameters.2.description = result format [doc] ou [json] post.parameters.2.schema.enum = [doc, json] mimeType = application/json post.summary = keyword assignation post.responses.description = produces a list of terms match from large terminology MX (english) post.requestBody.content.application/json.example.0.id = 1 post.requestBody.content.application/json.example.0.value = Non-local effects by homogenization or 3D–1D dimension reduction in elastic materials reinforced by stiff fibers.We first consider an elastic thin heterogeneous cylinder of radius of order ε: the interior of the cylinder is occupied by a stiff material (fiber) that is surrounded by a soft material (matrix). By assuming that the elasticity tensor of the fiber does not scale with ε and that of the matrix scales with ε2, we prove that the one dimensional model is a nonlocal system.We then consider a reference configuration domain filled out by periodically distributed rods similar to those described above. We prove that the homogenized model is a second order nonlocal problem.In particular, we show that the homogenization problem is directly connected to the 3D–1D dimensional reduction problem. post.responses.default.content.application/json.example.0.id = 1 post.responses.default.content.application/json.example.0.value = Non-MX_local_effects by MX_homogenization or 3D–1D MX_dimension_reduction in MX_elastic_materials reinforced by stiff MX_fibers .We first consider an elastic thin heterogeneous MX_cylinder of MX_radius of MX_order ε: the interior of the MX_cylinder is occupied by a stiff MX_material (MX_fiber ) that is surrounded by a MX_soft_material (matrix). By assuming that the MX_elasticity tensor of the MX_fiber does not MX_scale with ε and that of the matrix MX_scales with ε2, we prove that the MX_one_dimensional_model is a nonlocal MX_system .We then consider a MX_reference MX_configuration domain MX_filled out by periodically distributed rods similar to those described above. We prove that the homogenized MX_model is a MX_second_order nonlocal MX_problem .In particular, we MX_show that the MX_homogenization MX_problem is directly MX_connected to the 3D–1D dimensional MX_reduction MX_problem . [use] plugin = @ezs/spawn plugin = @ezs/basics plugin = @ezs/analytics [JSONParse] separator = * [expand] path = env('path', 'value') size = 100 # in production mode, uncomment the following line cache = boost [expand/exec] #command should be executable ! command = ./analyze.py args = termMatcher args = fix('-o') args = env('output','doc') args = fix('-lang') args = en args = fix('-param') args = env('param','{}') [JSONString]